1623

1623 = 3 x 541.

1623 is a number for which the sum of the reciprocals of its digits is an integer (A034708).

1623 is a number whose product of digits is three times the sum of its digits (A062035).

1623 is a semiprime that is the sum of three consecutive semiprimes (A131610).

1623 is a number that is not the sum of two triangular numbers and a fourth power (A115160).

1623 cannot be written as the sum of three squares.

1623 divides 52⁴ - 1.

Source: OEIS

9668

9668 = 2 x 2 x 2417.

9668 is the number of Sophie Germain primes among the first 10⁵ primes (A04940).

9668 is 112432 in base 6 and 14232 in base 9.

9668 has a representation as a sum of two squares: 9668 = 8² + 98².

9668 divides 67¹⁶ - 1.

Source: OEIS

8420

8420 = 2 x 2 x 5 x 421.

8420 is the number of symmetric ways to fold a strip of 20 stamps (A001010).

8420 = 20³ + 20² + 20 (A027444 and A063012).

8420 has two representations as a sum of two squares: 8420 = 26² + 88² = 32² + 86².

8420 divides 29⁴ - 1.

Source: What's Special About This Number?

3260

3260 = 2 x 2 x 5 x 163.

3260 is 23032 in base 6. It is 4422 in base 9 (A033007).

3260 is the number of inequivalent ways to cut an 11 x 11 square into squares with integer sides, such that the dissection has 90-degree rotational symmetry and no reflective symmetry (A240122).

3260 is a number that is not the sum of a triangular number, a cube, and a Fibonacci number (A115177).

3260 cannot be written as the sum of three squares.

3260 divides 59⁶ - 1.

Source: OEIS

1379

1379 = 7 x 197.

Dropping any digit of 1379 gives a prime number (A034895).

1379 is the maximum number of regions into which 52 lines divide the plane. It is a central polygonal numbers (A000124).

1379 is a heptadecagonal number (A051869).

1379 is the magic constant of a 24 x 24 normal magic square.

1379 is 4010 in base 7 and 1044 in base 11. It is 2543 in base 8 and 707 in base 14.

1379 divides 36⁷ - 1.

Source: What's Special About This Number?

4126

4126 = 2 x 2063.

4126 is 113001 in base 5 and 3111 in base 11 (A032918).

4126 is a number that contains the product of any two adjacent digits as a substring, and has at least one pair of adjacent digits (A203566).

4126 is the number of positions that are exactly 16 moves from the starting position in the "hockey puck" puzzle (A079735).

4126 is the number of primes between 34 and 34³ (A117491).

Source: OEIS

9703

9703 = 31 x 313.

9703 is 302303 in base 5. It is 40201 in base 7.

9703 is a number of the form n³ + n² + 1 for n = 21 (A098547).

9703 is a number that cannot be written as a sum of three squares.

9703 divides 98³ - 1.

Source: OEIS

5303

5303 is a prime number. It is a Sophie Germain prime because 2 x 5303 + 1 = 10607 is also a prime. The sum of the digits of 5303 (11) is also a Sophie Germain prime (A118504).

5303 is a balanced prime (the average of the previous prime and the following prime) (A006562). 5297, 5303, and 5309 are three consecutive primes (A053070).

5303 is a prime that is the sum of five consecutive composite numbers (A060330).

Source: OEIS

2017

2017 is a prime number.

2011 and 2017 are a sexy prime pair (differing by 6).

2017 is an odd central polygonal number (A193867).

2017 is the sum of four consecutive composite numbers (A060329).

2017 is a prime that remains a prime when a single "7" digit is inserted between any two adjacent digits (A217065).

2017 is a prime with digit sum 10 (A107579).

2017 has a representation as a sum of two squares: 2017 = 9² + 44².

2017 is the hypotenuse of a primitive Pythagorean triple: 2017² = 792² + 1855².

2017 divides 79⁷ - 1.

Source: OEIS

2003

2003 is a prime number. It is a Sophie Germain prime because 2 x 2003 + 1 = 4007 is also a prime.

2003 is formed from the first two primes (2 and 3) separated by two zeroes. Add 2³, then 2 x 3 to get the next two primes: 2011 and 2017.

The concatenation of numbers from 2000 to 2003 (2000200120022003) is a prime.

2003 is the only known prime of the form 2 x 10^p + p, where p and p + 4 are primes (with p = 3).

2003 is 133103 in base 4 and 31003 in base 5.

2003 divides 22¹³ - 1.

2003 was the first prime year of the current millennium. The next two are 2011 and 2017.

Source: Number Gossip and Prime Curios!

6661

6661 is a prime number.

6659 and 6661 form a twin prime pair.

6661 is the smallest beastly (containing the string 666) prime number.

6661 and its inversion, 1999, are both primes.

6661 uses only the digits 0, 1, and 5 in bases 6 (50501) and 8 (15005).

6661 has a representation as a sum of two squares: 6661 = 10² + 81².

6661 is the hypotenuse of a primitive Pythagorean triple: 6661² = 1620² + 6461².

Source: Number Gossip

3666

3666 = 2 x 3 x 13 x 47.

3666 is the number of ways to tile a 4 x 46 room with 1 x 2 Tatami mats, with at most three Tatami mats meeting at a point (A068923).

3666 is the number of partitions of the 33rd decimal palindrome into distinct decimal palindromes (A091585).

3666 divides 95⁶ - 1.

Source: OEIS

7070

7070 = 2 x 5 x 7 x 101.

7070 is the number of lines through at least two points of an 8 x 22 grid of points (A160848).

7070 divides 41²⁰ - 1.

7070 is a number n such that n and the square of n use only the digits 0, 4, 7, 8, and 9 (A136959).

Source: OEIS

7837

7837 = 17 x 461.

7837 is the number of primes less than 80000 (A038813).

7837 is a number n such that there are 17 primes between 100n and 100n + 99 (A186509).

7837 is a number n such that 27n + 1 is a square (A219258).

7837 is the smaller of two consecutive lucky numbers with the same digital sum (A118566).

7837 has two representations as a sum of two squares: 7837 = 21² + 86² = 59² + 66².

7837 is the hypotenuse of two primitive Pythagorean triples: 7837² = 875² + 7788² = 3612² + 6955².

7837 divides 48¹⁶ - 1.

Source: OEIS

5110

5110 = 2 x 5 x 7 x 73.

5110 is a multiple of 7 whose digit sum is 7 (A063416).

5110 and the square of 5110 use only the digits 0, 1, 2, 5, and 6 (A136823).

5110 is the number of nonalternating knots with 13 crossings (A051763).

5110 is 21000021 in base 3. It is 7007 in base 9 (A043034).

5110 divides 81³ - 1.

Source: OEIS

9327

9327 = 3 x 3109.

9327 is a value of n for which n and 2n together use each digit 1 to 9 exactly once (A064160).

9327 is a number n such that 2ⁿ + 9 is prime (A057196).

9327 is a number that cannot be written as a sum of three squares.

9327 divides 85²¹ - 1.

Source: What's Special About This Number?

9317

9317 = 7 x 11 x 11 x 11.

9317 is a number n having two distinct prime factors p, q with q = p + 4 (A143203 and A195106).

9317 is a number n with the property that the largest proper divisor of n is a cube (A187104).

9317 is the number of standard Young tableaux with 11 cells and exactly one succession (A238126).

9317 is a number n such that n ends with 7 and is the difference between two cubes in at least one way (A038862).

Source: OEIS

8811

8811 = 3 x 3 x 11 x 89.

8811 is a multiple of 11 containing 11 in its decimal representation (A121031).

8811 is the number of 12 x 12 binary arrays symmetric under horizontal reflection with all ones connected only in a one by five or five by one block (A145065).

8811 divides 34¹² - 1.

Source: OEIS

6395

6395 = 5 x 1279.

6395 is the number of ways to divide a 12 x 12 grid of points into two sets using a straight line (A114043).

6395 is the number of primes of the form 1 + b⁴ for b less than 10⁵ (A215048).

6395 is the number of connected functions on 9 points with a single labeled point (A038002).

Source: What's Special About This Number?

9908

9908 = 2 x 2 x 2477.

9908 is the number of times the digit 2 appears in the first 10⁵ (100,000) digits of pi (A099293).

9908 is the least number that can be expressed as the sum of a prime number and a nonzero square in just 36 different ways (A064283).

9908 is the number of fixed polyominoes with 9 cells (A006762).

9908 is the number of placements of brackets in a monomial of degree 9 in an algebra with two commutative multiplications (A226909).

9908 has a representation as a sum of two squares: 9908 = 38² + 92².

9908 is 304113 in base 5 and 113512 in base 6.

Source: OEIS

2888

2888 = 2 x 2 x 2 x 19 x 19.

2888 is 21212 in base 6.

2888 is the first of five consecutive squareful numbers.

2888 is the smaller of two consecutive numbers divisible by cubes (A068140).

2888 is the smallest multiple of 8 with a digit sum of 26 (A069536).

2888 has a representation as a sum of two identical squares (A001105): 2888 = 38² + 38².

2888 divides 69⁶ - 1.

Source: What's Special About This Number?

5247

5247 = 3 x 3 x 11 x 53.

5247 is the number of ordered ways to write 1 as a sum of reciprocals of integers no larger than 10.

5247 has three 1s and three 3s in its base 4 representation (A045127).

5247 divides 23¹² - 1.

5247 is a number that cannot be written as a sum of three squares.

Source: What's Special About This Number?

8396

8396 = 2 x 2 x 2099.

8396 does not occur in its factorial in base 2 (binary notation) (A093685).

8396 is a number such that it has four 3s in its base 7 representation (A043408).

8396 has four 0s and two 3s in its base 4 representation (A045083).

8396 is the number of 4-bead necklaces labeled with numbers -46 . . . 46 not allowing reversal, with sum zero and first and second differences in -46 . . . 46 (A209008).

Source: What's Special About This Number?

1950

1950 = 2 x 3 x 5 x 5 x 13.

1950 = (144 + 145 + . . . + 156) = (157 + 158 + . . . + 168) (A059270).

1950 is 132132 in base 4, 5454 in base 7, and 3636 in base 8. It is 1166 in base 12 (A033010).

1950 is a number n such that the square of n is the sum of four consecutive primes (A051395).

1950 divides 49⁶ - 1.

1950 is a year with exactly two "Friday the 13ths" (A190652).

Source: What's Special About This Number?

1933

1933 is a prime number.

1931 and 1933 form a twin prime pair.

1933 is centered heptagonal number (A069099).

1933 = (1⁹ + 2⁸ + 3⁷ + 4⁶ + 5⁵)/5.

1933 has a representation as the sum of two squares: 1933 = 13² + 42².

1933 is the hypotenuse of a primitive Pythagorean triple: 1933² = 1092² + 1595².

1933 divides 10²¹ - 1.

Source: Prime Curios!

3626

3626 = 2 x 7 x 7 x 37.

3626 is 24442 in base 6.

3626 is the smallest nonnegative number that is the sum of three squares in exactly 23 ways (A000437).

3626 is a member of the Fibonacci-like sequence beginning with 1 and 9 (A022099).

3626 is the center element of a series of five successive non-squarefree numbers (A188296).

3626 has a representation as a sum of two squares: 3626 = 35² + 49².

3626 divides 31¹² - 1.

Source: What's Special About This Number?

5582

5582 = 2 x 2791.

The sum of the digits of 5582 is the square root of the product of the digits of 5582 (A117720).

5582 is contained as a substring in the 5582nd triangular number (A119238).

5582 is the number of distinct connected monocyclic bipartite graphs with 13 vertices (A214650).

5582 divides 91³ - 1.

Source: OEIS

3442

3442 = 2 x 1721.

3442 is a semiprime with a prime sum of decimal digits and a prime sum of prime factors (A108610).

3442 is exactly between the nearest square and the nearest triangular number (A233074).

3442 is the number of three-dimensional polyominoes with 8 cells (A006766).

3442 has a representation as a sum of two squares: 3442 = 29² + 51².

Source: OEIS

1911

1911 = 3 x 7 x 7 x 13.

1911 is 11101110111 in base 2 (binary) (A023691), 131313 in base 4 (A037576), and 1133 in base 12 (A033010). It is 876 in base 15 and 777 in base 16 (A033029).

1911 is a hendecadonal number (A051682). It is also a heptagonal pyramidal number (A002413).

1911 divides 79³ - 1.

1911 was a year with exactly two "Friday the 13ths" (A190652).

Source: What's Special About This Number?

2637

2637 = 3 x 3 x 293.

2637 is 5115 in base 8.

Deleting the middle two digits of 2637 produces a cube (A217297).

2637 is the number of commutative monoids of order 7 (A058131).

2637 is the sum of nine distinct pentatope numbers (A104399).

2637 has a representation as a sum of two squares: 2637 = 6² + 51².

Source: What's Special About This Number?

5314

5314 = 2 x 2657.

5314 is a semiprime with a prime sum of decimal digits and a prime sum of prime factors (A108610).

5314 is the sum of three consecutive hexagonal numbers (A129109).

5314 has a representation as a sum of two squares: 5314 = 33² + 65².

5314 is the number of positive integers that are not the sum of distinct 40th-order polygonal numbers (A025524).

5314 is a centered 21-gonal number (A069178).

Source: OEIS

9347

9347 = 13 x 719.

9347 is a value of n for which the sum of the square-free divisors of n and n + 1 are the same (A063964).

9347 is a number n such that googol - n is a prime (A108251).

9347 is the number of primes between 46 and 46³ (A117491).

Source: What's Special About This Number?

1902

1902 = 2 x 3 x 317.

1902 has cube that contains only even digits (A052004).

1902 is a number n such that 2n - 1, 4n - 1, and 6n - 1 are primes (A124486).

1902 is the sum of three consecutive semiprimes (A173968).

1902 is the number of primes p such that 8! - p is prime (A140088).

1902 is a year with exactly one "Friday the 13th" (A190651).

Source: What's Special About This Number?

1898

1898 = 2 x 13 x 73.

1898 is 1122 in base 12 (A033010). It is 868 in base 15.

1898 is the smallest multiple of 26 whose digits sum to 26 (A002998).

1898 is the number of primes between 26² and 26³ (A079648).

1898 is the least positive integer that can be represented as the sum of a semiprime and a square in exactly 25 ways (A101181).

1898 has two representations as a sum of two squares: 1898 = 7² + 43² = 23² + 37². It is the sum of two squared primes in exactly two ways (A226539).

1898 divides 81³ - 1.

Source: OEIS

3255

3255 = 3 x 5 x 7 x 31.

3255 is 101010 in base 5 (A033042 and A033115). It is 23023 in base 6. 3255 uses only the digits 0, 1, 2, and 3 in every base up to and including base 7.

3255 is a number that is not the sum of a triangular number, a cube, and a Fibonacci number (A115177).

3255 is a number n such that n - 4, n - 2, n + 2, and n + 4 are prime (A173037).

3255 divides 92⁴ - 1.

Source: OEIS

1897

1897 = 7 x 271.

1897 is a Padovan number (A000931).

1897 plus the product of its digits produce a square (A066567).

1897 divides 29⁶ - 1.

Source: What's Special About This Number?

3700

3700 = 2 x 2 x 5 x 5 x 37.

3700 is the sum of the squares of four consecutive primes (A133524).

3700 is divisible by the sum of the cubes of its digits (A034088).

3700 and the sum of its digits are both multiples of 10 (A218292).

3700 is 12002001 in base 3.

3700 has three representations as a sum of two squares (A025286 and A025304 and A000443): 3700 = 10² + 60² = 28² + 54² = 42² + 44².

3700 divides 43⁴ - 1.

Source: What's Special About This Number?

8763

8763 = 3 x 23 x 127.

8763 and its successor have the same digits in their prime factorization (A061665).

8763 is the number of partitions of 38 having not more odd than even parts (A171966).

8763 is a number n such that 4n + 1 is a palindromic prime (A192261).

8763 divides 22¹⁸ - 1.

Source: What's Special About This Number?

6384

6384 = 2 x 2 x 2 x 2 x 3 x 7 x 19.

6384 is a number divisible by each of its digits (A187238).

6384 is an icosahedral number (A006564).

6384 is 4884 in base 11.

6384 divides 31⁶ - 1.

Source: What's Special About This Number?

9985

9985 = 5 x 1997.

9985 is the number of hyperbolic knots with 13 crossings (A052408).

9985 is 23401 in base 8.

9985 is a number n such that n, n + 2, n + 4, n + 6, n + 8, n + 10, and n + 12 are all semiprimes (A092129).

9985 is the number of composite numbers between the largest 29-digit prime and the smallest 30-digit prime (A109936).

9985 has two representations as a sum of two squares: 9985 = 24² + 97² = 39² + 92².

9985 is the hypotenuse of two primitive Pythagorean triples: 9985² = 4656² + 8833² = 6943² + 7176².

Source: What's Special About This Number?

2603

2603 = 19 x 137.

2603 divides 37⁴ - 1.

The 2603rd prime minus 2603 gives a square and a fourth power (A064370 and A114067).

2603 is the smallest product of two distinct primes that is greater than 51² (A099610).

2603 is the sum of nine distinct positive pentatope numbers (A104399).

Source: OEIS

7990

7990 = 2 x 5 x 17 x 47.

7990 is the number of Young tableaux of height less than or equal to 5, for n = 10 (A049401).

7990 is the number of nondecreasing arrangements of 5 nonzero numbers in -(n + 3)...(n + 3) with sum zero, for n = 14 (A188335).

7990 divides 93⁸ - 1.

Source: OEIS

2122

2122 = 2 x 1061.

2122 is a semiprime with a prime sum of factors (A108605).

2122 has a representation as a sum of two squares: 2122 = 21² + 41².

2122 divides 29²⁰ - 1.

2122 is the index of a prime Euclid number (A014545).

2122 is the concatenation of two consecutive numbers (A001704 and A127421).

2122 is the barcode for 2 in the Universal Product Code.

Source: Number Gossip

8839

8839 is a prime number.

8837 and 8839 form a twin prime pair.

8839 is a prime whose sum of digits is the perfect number 28 (A048517).

8839 is a prime using only the digits 0, 3, 6, 8, and 9 (A079652).

8839 is a prime that is the arithmetic mean of four successive primes (A126096).

8839 is a prime that can be expressed as a sum of distinct powers of 3 (A077717).

8839 is a number that cannot be written as a sum of three squares.

Source: OEIS

1856

1856 = 2 x 2 x 2 x 2 x 2 x 2 x 29.

The product of the digits of 1856 is 12 times their sum (A062045).

1856 is a number n for which 12n + 1, 12n + 5, and 12n + 7 are primes (A123979).

1856 is the sum of four nonzero squares in exactly two ways (A025358).

1856 has a representation as a sum of two squares: 1856 = 16² + 40².

1856 divides 17⁴ - 1.

1856 is a year in which there were five Fridays in the month of February (A141287).

Source: OEIS

8377

8377 is a prime number.

8377 is a prime that is the sum of eight but no fewer squared primes (A183216).

8377 has a representation as a sum of two squares: 8377 = 51² + 76².

8377 is the hypotenuse of a primitive Pythagorean triple: 8377² = 3175² + 7752².

Source: OEIS

3225

3225 = 3 x 5 x 5 x 43.

3225 is 100400 in base 5. It is 22533 in base 6.

3225 is the number of primes less than 10⁵ having at least one digit 6 (A091707).

3225 is the sum of the first 41 primes, minus 41 (A101301).

3225 is the number of symmetric 3 x 3 matrices in base 5 with determinant 0.

3225 divides 49⁶ - 1.

Source: What's Special About This Number?

3917

3917 is a prime number.

3917 and 3919 form a twin prime pair.

3917 has a representation as a sum of two squares: 3917 = 14² + 61².

3917 is the hypotenuse of a primitive Pythagorean triple: 3917² = 1708² + 3525².

3917 divides 66¹¹ - 1.

Source: Prime Curios!

5235

5235 = 3 x 5 x 349.

The product of the digits of 5235 is ten times their sum (A062043).

The sum of the cubes of the digits of the cube of 5235 is a perfect cube (A164882).

5235 is a lucky number with only prime digits (A118718).

5235 is the smaller of two consecutive lucky numbers with the same digital sum (A118566).

5235 and its reversal (5325) are both multiples of 15 (A062905).

5235 divides 31²⁹ - 1.

Source: OEIS

1835

1835 = 5 x 367.

1835 is a number n such that n, n + 2, n + 4, n + 6, and n + 8 are semiprimes (A092127).

1835 is a member of the Fibonacci-like sequence beginning with 1 and 20 (A022110).

1835 is the least sum of 23 distinct pairs of consecutive primes (A102724).

1835 divides 84⁶ - 1.

1835 is the number of Pyramorphix puzzle positions that require exactly four moves to solve.

Source: What's Special About This Number?