3750

3750 = 2 x 3 x 5 x 5 x 5 x 5 (A143207).

3750 is a concentric hexagonal number (A032528).

3750 is the first of four consecutive squareful numbers (A070284).

3750 is 110000 in base 5 (A033042).

3750 is the sum of two powers of 5 (A055237).

3750 is a number n such that n and the square of n are sums of two successive primes (A213739).

Source: What's Special About This Number

6868

6868 = 2 x 2 x 17 x 101.

6868 is the larger number in a Ruth-Aaron pair.

6868 is 100102101 in base 3. It is 15234 in base 8 (uses each of the digits from 1 to 5 once).

6868 has two representations as a sum of two squares: 6868 = 12² + 82² = 28² + 78².

6868 divides 91¹⁶ - 1.

Source: What's Special About This Number?

9767

9767 is a prime number.

9767 is the largest four-digit prime formed by the concatenation of two two-digit primes.

9767 and 9769 form a twin prime pair.

9767 is 14352 in base 9 (using each of the digits from 1 to 5 once).

9767 is the upper prime of a difference of 18 between consecutive primes (A031937).

9767 cannot be written as a sum of three squares.

Source: Number Gossip

5735

5735 = 5 x 31 x 37.

5735 is a pentagonal number (A049452 and A014632).

5735 is a number divisible by 5 that is the difference between two different positive cubes in at least one way (A038853).

5735 is a number whose set of base 11 digits is {3, 4} (A032835): 4344.

5735 is a number n such that 2n + 1, 3n + 2, and 4n + 3 are primes (A126995).

5735 divides 26⁶ - 1.

5735 is a number that cannot be written as a sum of three squares.

Source: Number Gossip

6673

6673 is a prime number.

6673 is a prime whose base 3 representation (100011011) also is the base 2 representation of a prime (A235265).

6673 is a prime that is 3 greater than a triangular number (A159047).

6673 is a prime such that the sum of the predecessor and successor primes is divisible by 29 (A112859). It is also divisible by 23 (A112847).

6673 is a prime that can be expressed as a sum of distinct powers of 3 (A077717).

6673 has a representation as a sum of two squares: 6673 = 52² + 63².

6673 is the hypotenuse of a primitive Pythagorean triple: 6673² = 1265² + 6552².

Source: OEIS

8818

8818 = 2 x 4409.

8818 is the smallest semiprime containing exactly three 8s (A104761).

8818 is a number n such that n concatenated with n + 3 gives the product of two numbers that differ by 7 (A116180).

8818 has a representation as a sum of two squares: 8818 = 13² + 93².

Source: OEIS

7556

7556 = 2 x 2 x 1889.

7556 is 31013 in base 7 (A043017).

7556 is the smallest of four consecutive integers such that their product plus or minus 5 are primes (A174244).

7556 is the number of 9-step walks on a hexagonal lattice (A005549).

7556 is the number of 6-step mappings with five inputs (A005946).

7556 is the number of 5 x 3 binary arrays with a path of adjacent 1s from the upper left corner to anywhere in the right hand column (A069294).

7556 is the number of 6-level rooted trees with 5 leaves (A000405).

7556 has a representation as a sum of two squares: 7556 = 34² + 80².

7556 divides 85⁸ - 1.

Source: OEIS

2695

2695 = 5 x 7 x 7 x 11 (A036490).

2695 and its digit sum are both multiples of 11 (A216995).

2695 is a number for which its smallest and largest prime factors differ by 6 (A195118).

2695 is 3624 in base 9 and 2030 in base 11.

The 2695th prime minus 2695 gives a triangular number (A115883).

2695 divides 67¹² - 1.

2695 is a number that cannot be written as a sum of three squares.

Source: OEIS

3639

3639 = 3 x 1213.

Concatenating the distinct prime factors of 3639 produces a palindrome (A046448): 31213.

3639 is a member of the Fibonacci-like sequence beginning with 1 and 15 (A022105).

The square of 3639 contains only the digits 1, 2, 3, and 4 (A061677).

3639 divides 47¹² - 1.

3639 is a number that cannot be written as a sum of three squares.

Source: OEIS

6623

6623 = 37 x 179.

6623 has the property that the sum of its prime factors is equal to the product of its digits (A067173).

6623 is a centered heptagonal number (A069099).

6623 is a number n such that the nth and the (n + 1)th primes have the same sum of their digits squared (A109182).

6623 is a member of the Fibonacci-like sequence beginning with 12 and 67 (A091074).

6623 is a number that cannot be written as a sum of three squares.

Source: What's Special About This Number?

8809

8809 = 23 x 383.

8809 is the 10³ lucky number (A181382).

The last four digits of 8809 in base three (110002021) match the first four digits of 8809 in base 4 (2021221).

8809 is a number n such that n times n + 9 gives the concatenation of two numbers m and m - 5 (A116258).

Source: OEIS

5535

5535 = 3 x 3 x 3 x 5 x 41.

Every digit of 5535 is a prime factor of 5535 (A062239).

5535 and the square of 5535 use only the digits 0, 2, 3, 5, and 6 (A136888).

5535 is a number n such that n³ - 4 and n³ + 4 are prime (A161589).

5535 is a number n such that (n³ + 2 and n³ + 4) is a twin prime pair (A178337).

5535 divides 73¹² - 1.

5535 is a number that cannot be written as a sum of three squares.

Source: OEIS

8940

8940 = 2 x 2 x 3 x 5 x 149.

8940 is 3388 in base 14.

8940 is a number n such that n + 1, 2n + 1, and n² + 1 are primes (A236692).

8940 is the number of subsets of {1, 2, . . ., 38} containing 38 and having less than or equal to nine pairwise coprime elements (A186993).

8940 is the number of arrays of squares of integers, symmetric under 90-degree rotation, with all rows summing to 2 (A156411).

Source: OEIS

4774

4774 = 2 x 7 x 11 x 31. It is a palindrome with exactly four prime factors (A046330).

4774 is a heptagonal number (A000566).

4774 is a multiple of 11 and its digit sum is a multiple of 11 (A216995).

4774 is the concatenation of the 15th prime and its reverse (A067087).

4774 is 34034 in base 6 and 2233 in base 13 (A033011).

4774 divides 67³ - 1.

Source: OEIS

5769

5769 = 3 x 3 x 641.

5769 is the number of permutations of nine elements that have a third power equal to the identity permutation (A001470).

5769 is the number of binary strings of length 14 with no substrings equal to 0001 or 1000 (A164398).

5769 has a representation as a sum of two squares: 5679 = 12² + 75².

5769 divides 100¹⁶ - 1.

5769 is the number of (unordered) ways of making change for n cents using coins of 1/2, 1, 2, 3, 5, 10, 20, 25, 50, and 100 cents (all historical U.S. coinage denominations up to 100 cents (A067997).

Source: What's Special About This Number?

6097

6097 = 7 x 13 x 67. It is the product of three distinct non-Sophie Germain primes (A157347) and the product of three distinct primes of the form 6n + 1 (A154729).

6097 is a hexagonal prism number (A005915).

6097 is an alternating sum of decreasing powers (A083327).

6097 is the half-sum (or average) of the cubes of two distinct odd primes (A138855).

6097 divides 29³ - 1.

Source: What's Special About This Number?

1813

1813 = 7 x 7 x 37.

1813 is the sum of the first 35 semiprimes (A062198).

1813 is the number of trees on 15 vertices with diameter 8.

1813 is 12221 in base 6.

1813 has a representation as a sum of two squares: 1813 = 7² + 42².

1813 divides 48⁶ - 1.

Source: What's Special About This Number?

1782

1782 = 2 x 3 x 3 x 3 x 3 x 11.

1782 is a heptagonal number.

1782 is the smallest number that is three times the sum of all the two-digit numbers that can be made using the digits of 1782.

1782 is the smallest number n such that n and 4n (7128) are anagrams.

1782 is 3366 in base 8.

1782 divides 89¹⁸ - 1.

Source: Number Gossip

1693

1693 is a prime number.

1693 is a prime that results from merging four successive digits in the decimal expansion of pi (A104824).

1693 is a prime whose binary representation (11010011101) is also the decimal representation of a prime (A065720).

1693 is the smallest prime greater than 41² (A007491).

1693 has a representation as a sum of two squares: 1693 = 18² + 37².

1693 is the hypotenuse of a primitive Pythagorean triple: 1693² = 1045² + 1332².

1693 divides 92⁴ - 1.

Pope Clement XIII was born in the prime year 1693; he was the most recent pope to be born in a prime year.

Source: Prime Curios!

2433

2433 = 3 x 811.

2433, 2434, and 2435 are consecutive semiprimes, each the product of two primes (A056809).

2433 is 3303 in base 9.

2433 is the sum of three distinct powers of three (A038465).

2433 is the arithmetic mean of five successive primes (A219505).

2433 divides 7²⁷ - 1.

Source: OEIS

7533

7533 = 3 x 3 x 3 x 3 x 3 x 31.

7533 is a number whose prime divisors (3 and 31) are all Mersenne primes (A056652).

7533 is the difference of two positive fifth powers (A181124).

7533 is a number n such that 12n + 1, 12n + 5, 12n + 7, and 12n + 11 are primes (A123985).

7533 divides 82¹⁵ - 1.

Source: OEIS

5137

5137 = 11 x 467.

5137 is a semiprime whose digit reversal is a pentagonal number (A115708).

5137 is 1010000010001 in base 2 (binary) and 1100101 in base 4. 5137 is 21001021 in base 3 and 12021 in base 8.

5137 is the number of 4-bead necklaces labeled with numbers -19 . . . 19 allowing reversal, with sum zero with no three beads in row equal (A209345).

5137 is the sum of four distinct powers of 4 (A038472).

Source: OEIS

2984

2984 = 2 x 2 x 2 x 373.

2984 is the number of different products of subsets of the set {1, 2, 3, . . . 15} (A060957).

2984 is the number of triangles in all dissections of a convex octagon by nonintersecting diagonals (A089382).

2984 is 1888 in base 12.

2984 is the sum of nine nonzero 6th powers (A003365).

2984 has a representation as a sum of two squares: 2984 = 22² + 50².

2984 divides 89⁶ - 1.

Source: What's Special About This Number?

5845

5845 = 5 x 7 x 167.

5845 is the product of three distinct safe primes (A157354).

5845 is the number of squares on a infinite half chessboard at less than or equal to 29 knight moves from a fixed point on the diagonal (A098499).

5845 is a number n such that n² + 1 and (n + 1)² + 1 are each divisible by a square (A217798).

5845 in base 11 is made up of only the digits 3 and 4 (4434) (A032835). 5845 and the square of 5845 in base 6 (43021 and 3220130441) use the same digits in the same proportion (A061660).

Source: OEIS

6680

6680 = 2 x 2 x 2 x 5 x 167.

6680 = 6666 + 6 + 8 + 0.

6680 is the number of essentially different ways in which the squares 1, 4, 9, . . . 16² can be arranged in a sequence such that all pairs of adjacent squares sum to a prime number (rotations and reversals are counted only once) (A073451).

6680 and the square of 6680 (44622400) use only the digits 0, 2, 4, 6, and 8 (A136904).

6680 is a number n such that n², n² + 1, and n² + 2 are all semiprimes (A179502).

Source: What's Special About This Number?

9202

9202 = 2 x 43 x 107.

9202 is palindromic in base 4: 2033302. It ends in 554 is base 7 (35554) and base 9 (13554).

9202 is a number n such that n!!!!! + 1 is prime (A085148).

Any two consecutive digits of 9202 sum up to a prime (A158652).

9202 is the volume of sphere (rounded down) with radius 26 (A228272).

Source: OEIS

1112

1112 = 2 x 2 x 2 x 139.

1112 has a base 3 representation that begins with 1112.

1112 is divisible by the product of its digits (A007602). The product of its digits is a prime (A028842).

1112 times its reversal, 2111, produces a palindrome (A043344): 1112 x 2111 = 2347432.

1112 divides 43⁶ - 1.

Source: What's Special About This Number?

8490

8490 = 2 x 3 x 5 x 283.

8490 is the number of compositions of 22 into 5 ordered relatively prime parts (A000743).

8490 is the number of base 14 7-digit numbers with adjacent digits differing by one or less (A126368).

8490 is a number n for which n' + n and n' - n are both prime, n' being the arithmetic derivative of n (A229272).

8490 is the total number of parts in all partitions of 37 into odd parts (A067588).

8490 is the conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius 23 (A121346).

Source: OEIS

3009

3009 = 3 x 17 x 59.

3009 is a number with prime factors a, b, and c such that a + b + c, a² + b² + c², and a³ + b³ + c³ are all primes (A176911).

3009 divides 58¹⁶ - 1.

3009 is a member of the crystal ball sequence for hexagonal close-packing (A007202).

Source: OEIS

9727

9727 = 71 x 137.

9727 is 302402 in base 5.

9727 divides 72¹⁷ - 1.

9727 is a number that cannot be written as the sum of three squares.

13 x 9727² + 13 x 9727 + 1 is a square (A104240).

Source: OEIS

8361

8361 = 3 x 3 x 929.

8361 is a Leyland number (A076980).

8361 is a number of form 2ⁿ + n² for n = 13 (A001580).

The sum of the divisors of 8361 and the number of divisors of 8361 are both triangular numbers (A070996).

8361 is the sum of exactly two sets of Fibonacci numbers (A122194).

8361 has a representation as a sum of two squares: 8361 = 60² + 69².

8361 divides 46¹⁶ - 1.

Source: What's Special About This Number?

9645

9645 = 3 x 5 x 643.

9645 is 302040 in base 5. It is 22655 in base 8.

9645 is the number of partitions of 50 such that (greatest part) - (least part) = number of parts (A237832).

9645 is a member of the sequence in which the next term is the sum of the previous term and the square of the sum of its decimal digits, starting with 10 (A112787).

Source: OEIS

1997

1997 is a prime number.

1997 and 1999 form a twin prime pair.

The 1997 substrings 199 and 997 are also primes (A069489).

1997 remains a prime when a single digit 9 is inserted between any two consecutive digits or as the leading or trailing digit (A215421).

1997 is a prime factor of 87654321.

1997 has a representation as a sum of two squares: 1997 = 29² + 34².

1997 is the hypotenuse of a primitive Pythagorean triple: 1997² = 315² + 1972².

Source: What's Special About This Number?

1959

1959 = 3 x 653.

1959 is 132213 in base 4. It is 13023 in base 6.

1959 is a number n such that n1n and 1n1 are both prime (195911959 and 119591) (A090262).

1959 is the least value of n such that 51n contains only the digits 0 and 9 (A096688).

1959 is the largest integer that cannot be written as the sum of squares of integers larger than 17 (A193018).

1959 is the number of 2 x 2 integer matrices with entries from {0, 1, 2, ..., 40} having determinant 1 (A171503).

1959 was a year with exactly three "Friday the 13ths" (A190653).

Source: OEIS

2828

2828 = 2 x 2 x 7 x 101.

2828 is a value of n such that n(n + 8) is a palindrome (A028567): 2828 x 2836 = 8020208.

2828 is the number of lines that pass through exactly three points of an 18 x 18 grid of points (A018810).

2828 is the number of tatami tilings of a 6 x 9 grid (with monomers allowed) (A192092).

2828 is the sum of seven positive 7th powers (A003374): 2828 = 3⁷ + 2⁷ + 2⁷ + 2⁷ + 2⁷ + 2⁷ + 1⁷.

2828 divides 41²⁰ - 1.

Source: What's Special About This Number?

4410

4410 = 2 x 3 x 3 x 5 x 7 x 7.

4410 is a Padovan number (A000931).

4410 is 120120 in base 5.

4410 is a concentric decagonal number (A195142).

4410 is the smallest sum of 42 consecutive odd primes that is a multiple of 42 (A132810).

4410 has a representation as a sum of two squares: 4410 = 21² + 63².

4410 divides 19⁶ - 1.

Source: What's Special About This Number?

1922

1922 = 2 x 31 x 31.

1922 has a representation as a sum of two squares (A081324): 1922 = 31² + 31².

1992 in base 5 contains each of the digits from 0 to 4 once: 30142.

1992 is the maximum number of regions into which the plane can be divided using 16 (concave) quadrilaterals (A077591).

1922 plus the sum of its digits (14) equals a square (A066564): 1922 + 14 = 1936 = 44².

1992 is the sum of distinct nonzero 4th powers (A003999): 1922 = 6⁴ + 5⁴ + 1⁴.

1922 was a year with exactly two "Friday the 13ths" (A190652).

Source: OEIS

2576

2576 = 2 x 2 x 2 x 2 x 7 x 23.

2576 has exactly the same digits in three different bases: 40301 in base 5, 10340 in base 7, and 00431 in base 25.

2576 is the number of ways of writing 72 as a sum of eight nonnegative cubes (A173681).

2576 is the number of ways to place a non-attacking white and black queen on an 8 x 8 chessboard (A035291).

2576 divides 47⁶ - 1.

Source: What's Special About This Number?

9416

9416 = 2 x 2 x 2 x 11 x 107.

9416 is a value of n for which n and 8n (75328) together use each digit from 1 to 9 exactly once.

9416 uses only the digits 0, 1, 2, and 3 in bases 2, 3, 4, 5, 6, and 8.

9416 is the number of anisohedral polyiamonds with 29 cells (A075224).

9416 is the number of partitions of 42 in which each part occurs an odd number (or zero) times (A055922).

9416 is the number of primes of the form x⁸ + 1 less than 10⁴⁵ (A214454).

Source: What's Special About This Number?

1889

1889 is a prime number. It is a Sophie Germain prime because 2 x 1889 + 1= 3779 is also prime (A005384).

1889 is the smallest prime such that it and the next four primes (1889, 1901, 1907, 1913, and 1931) are all 5(mod 6), that is, leave a remainder of 5 when divided by 6.

1889 is the smallest prime with digit sum 26 (A067180).

1889 and 118891 are both primes (A069687).

1889 has a representation as a sum of two squares: 1889 = 17² + 40².

1889 is the hypotenuse of a primitive Pythagorean triple: 1889² = 1311² + 1360².

1889 is a divisor of 85⁸ - 1.

The Wall Street Journal was first published in the year 1889.

Source: Prime Curios!

9201

9201 = 3 x 3067.

9201 is a semiprime equidistant from and between the primes 9199 and 9203 (A125215).

9201 is palindromic in base 2 (binary): 10001111110001. It is 35553 in base 7 (A182234).

9201 is a truncated octahedral number (A005910).

5201 is a number n such that n⁶ +/- 2 are primes (A154938).

Source: What's Special About This Number?

5503

5503 is a prime number.

5501 and 5503 form a twin prime pair.

5503 is 1111333 in base 4 (A045132).

5503 is a prime whose base 7 representation (22021) also is the base 3 representation of a prime (223) (A235470).

5503 is a member of the Fibonacci-like sequence beginning with 1 and 23 (A022393).

The cube of 5503 contains each of the digits from 1 to 9 but not 0 (A124628): 5503³ = 166,647,398,527.

Source: OEIS

9957

9957 = 3 x 3319.

9957 uses the digits 0, 1, 3, and 4 in bases 6 (114033) and 7 (41013).

9957 is the number of homeomorphically irreducible general graphs on 6 labeled nodes and with 5 edges (A060581).

9957 Raffaellosanti is a main-belt asteroid discovered in 1991 and named for Raffaello Sanzio (Raphael), a master of the Italian Renaissance.

Source: OEIS

1860

1860 = 2 x 2 x 3 x 5 x 31.

1860 is the number of ways to 12-color the faces of a tetrahedron (A006008).

1860 uses each of the digits from 0 to 4 once in its representation in base 6 (12340). It is 1441 in base 11.

1860 is equal to the sum of the squares of its first 11 divisors (A185584): 1860 = 1² + 2² + 3² + 4² + 5² + 6² + 10² + 12² + 15² + 20² + 30².

1860 divides 61² - 1.

1860 is a year that had five Wednesdays in the month of February (A141039).

Source: What's Special About This Number?

1844

1844 = 2 x 2 x 461.

1844 is a number of the form 3ⁿ - n³ for n = 7 (A024026).

1844 is the sum of ten nonzero 6th powers (A003366).

1844 has a representation as a sum of two squares: 1844 = 20² + 38².

1844 divides 93¹⁰ - 1.

1884 is the number of hands of 6 cards containing a straight flush (A143314).

1844 is a year that has five Thursdays in the month of February (A143995).

Source: OEIS

1826

1826 = 2 x 11 x 83.

The sum of the prime factors of 1826 is equal to product of its digits: 2 + 11 + 83 = 1 x 8 x 2 x 6 = 96.

1826 uses each of the digits from 0 to 4 once in base 5 (24301). It is 2448 in base 9.

1826 is the sum of the third powers of four consecutive primes (A133525): 1826 = 11³ + 7³ + 5³ + 3³.

1826 is a decagonal pyramidal number (A007585).

1826 is a number whose square (3334276) starts with three identical digits (A131573).

Source: What's Special About This Number?

6718

6718 = 2 x 3359.

There are 6718 digits in the binary representation of the 26th prime Fibonacci number (A215367).

The sum of the 6718th and 6719th primes is a square (A109311).

The distinct consecutive digits 6718 appear in the decimal expansion of the square root of 2 (A167834).

6718 is the number of 2-anisohedral polyhexes of order 17 (A120117).

Source: On-Line Encyclopedia of Integer Sequences

6611

6611 = 11 x 601.

6611 is a value of n such that the nth Cullen number is prime (A005849).

6611 is the number of primes between 3,400,000 and 3,500,000 (A038825).

6611 is a potential magic constant of 9 x 9 magic squares composed of consecutive primes (A191679).

6611 divides 32¹⁰ - 1. It is also a divisor of 2⁵⁰ - 1 (A003554).

Source: What's Special About This Number?

7437

7437 = 3 x 37 x 67.

7437 divides 68⁴ - 1.

7437 arises in the sequence that starts with 1013, repeatedly reversing the digits and adding 2 to get the next term (A120214).

The Elevation Beer Co. is Colorado microbrewery that produced Elevation 7437 Double IPA for its first anniversary in 2013.

Source: On-Line Encyclopedia of Integer Sequences

8285

8285 = 5 x 1657.

8285 is the rounded volume of a regular octahedron with edge length 26 (A071400).

In base 4 8285 and the square of 8285 contain the same digits in the same proportion (A061658): 2001131 and 10011312013012.

8285 has two representations as a sum of two squares: 8285 = 2² + 91² = 53² + 74².

8285 is the hypotenuse of two primitive Pythagorean triples: 8285² = 364² + 8277² = 2667² + 7844².

8285 divides 71⁶ - 1.

Source: On-Line Encyclopedia of Integer Sequences