1793

1793 = 11 x 163.

1793, 1795, 1797. and 1799 are all semiprimes (A092126).

1793 is a pentanacci number (A001591).

1793 is the sum of three distinct cubes in two or more ways (A024974).

1793 is the number of tilings of a 2 x 8 board wth 1 x 1 and L-shaped tiles (where the L-shaped tiles cover 3 squares) (A127864).

1793 is a number such that its digit sum in base 2 and its digit sum in base 10 is in the ratio of 2:10 (A135110).

1793 divides 58¹⁵ - 1.

Source: What's Special About This Number?

5453

5453 = 7 x 19 x 41.

5453 is a potential magic constant of a 7 x 7 magic square composed of consecutive primes (A188536).

5453 is a number such that the number of 3s in base 5 is 4 (A043364): 133303.

5453 divides 83⁶ - 1.

Source: OEIS

1590

1590 = 2 x 3 x 5 x 53.

1590 is 818 in base 14 and 636 in base 16.

1590 is a heptadecagonal number (A051869).

1590 is a number n such that 2n + 1, 4n + 1, and 8n+ 1 are all primes (A124041).

1590 is the sum of eight nonzero 6th powers (A003364).

1590 divides 23⁴ - 1.

Source: OEIS

4220

4220 = 2 x 5 x 211.

4220 is a number n for which the sum of the first n composite numbers is a palindrome (A053779).

4220 is the maximum number of regions the plane is divided into by 38 triangles (A077588).

4220 is the number of binary rooted trees with 39 nodes and internal path length 39 (A108643).

4220 divides 71¹⁰ - 1.

Source: What's Special About This Number?

5940

5940 = 2 x 2 x 3 x 3 x 3 x 5 x 11.

5940 is divisible by its reverse, 495 (A223080).

5940 = (9 x 10 x 11 x 12)/2 (A033486).

5940 is 2244 in base 14 (A035012).

5940 is the sum of the interior angles (in degrees) of a 35-sided polygon (A066164).

5940 divides 89⁶ - 1.

Source: What's Special About This Number?

4546

4546 = 2 x 2273.

The number 4546 and its prime factors use each of the digits from 2 to 7 (A058760).

4546 is a member of the sequence in which each term is the sum of the previous term and the square of the term before that (A000278).

4546 has a representation as a sum of two squares: 4546 = 39² + 55².

Source: OEIS

2708

2708 = 2 x 2 x 677.

2708 in base 6 has digits in the order 2, 0, 3, 1, then repeats 2 (A037725).

2708 in base 2 has exactly 10 runs (A043577): 101010010100.

2708 is a number n such that the three numbers n - 1, n + 3, and n + 5 are all prime (A144840).

2708 has a representation as a sum of two squares: 2708 = 2² + 52².

2708 is the number of partitions of 84 into distinct parts, where the difference between the number of odd parts and the number of even parts is 5 (A240141).

Source: OEIS

4236

4236 = 2 x 2 x 3 x 353.

4236 is a number divisible by each of its digits (A187238).

4236 has a fourth power that is the sum of 4 distinct fourth powers (A003294 and A096739).

4236 is the number of ways to color the edges of a tetrahedron using 6 or fewer colors (A046023).

4236 is 1002030 in base 4 (A045034).

4236 is a number n such that n and 2ⁿ end with the same two digits (A067865).

4236 divides 49¹⁶ - 1.

Source: What's Special About This Number?

2457

2457 = 3 x 3 x 3 x 7 x 13.

2457 = 169 + 170 + . . . + 182 = 183 + 184 + . . . + 195 (A059270).

2457 is 999 in base 16 (A033029). It is 212121 in base 4. 2457 is 100110011001 (palindromic) in base 2 (A048701), 10101000 in base 3, and 10110 in base 7 (A033044).

2457 is the sum of two cubes and the sum is divisible by 13 (A094447).

2457 is both a sum and a difference of two positive cubes (A225908).

2457 divides 100³ - 1 (A027892).

2457 x 2458 = 6039306 (a palindrome) (A028336).

Source: What's Special About This Number?

7602

7602 = 2 x 3 x 7 x 181. It is a number with exactly 4 distinct palindromic prime factors (A046402).

7602 is the product of 42 and the 42nd prime (A033286).

7602 is the sum of composite numbers less than the 34th prime (A079725).

7602 is a positive integer n such that n¹¹ + 1 is semiprime (A105122).

7602 divides 43⁹ - 1.

Source: OEIS

5558

5558 = 2 x 7 x 397.

5558 is the smallest number whose digital product is equal to 10³ (A089386).

5558 is 1010110110110 in base 2 (binary) and 21121212 in base 3. It is 12666 in base 8 (A043447) and 7555 in base 9 (A043475). 5558 is 2050 in base 14.

5558 is a number n such that 1 + n + n³ + n⁵ + n⁷ + n⁹ + . . . + n⁴¹ is prime (A244386).

5558 is a value n such that 90n + 11, 90n + 13, 90n + 17, 90n + 19 are all primes (A051897).

5558 is an integer n such that 6n -/+ 1 and 30n -/+ 1 are all primes (A216847).

5558 divides 79⁹ - 1.

Source: OEIS

8751

8751 = 3 x 2917.

The cube of 8751 ends with 8751 (A033819).

The square of 8751 and the cube of 8751 have the same set of digits (A029797).

8751 is a perfect totient number (A082897).

8751 is the total height of trees with 11 nodes (A001853).

8751 is the sum of seven positive 7th powers (A003374).

8751 is a number that cannot be written as a sum of three squares.

Source: What's Special About This Number?

4770

4770 = 2 x 3 x 3 x 5 x 53.

4770 is a number n such that 2n - 1, 4n - 1, and 6n - 1 are primes (A124486).

4770 is the number of planar partitions of 19 with exactly two rows (A091356).

4770 has two representations as a sum of two squares: 4770 = 3² + 69² = 39² + 57².

4770 divides 23¹² - 1.

Source: OEIS

7808

7808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61.

7808 is the number of 4 x 4 sliding-block puzzle positions that require exactly 12 moves to solve starting with the hole in a corner (A089484).

7808 is 101201012 in base 3 (A043589). Reversing the base-3 representation of 7808 produces twice the original number (A173951).

7808 is the sum of two positive fifth powers (A003347). It is the sum of the fifth powers of the digits of 26 (A055014).

7808 has a representation as a sum of two squares: 7808 = 8² + 88².

7808 divides 33²⁰ - 1.

Source: What's Special About This Number?

5909

5909 = 19 x 311.

5909 is 13425 in base 8. It is 3505 in base 12.

5909 is the largest number whose base 8 representation does not contain any digit more than once and that is not divisible by any of its base 8 digits (A114342).

5909 is the number of symmetric plane partitions of 32 (A005987).

Source: OEIS

5236

5236 = 2 x 2 x 7 x 11 x 17.

5236 divides 67⁶ - 1.

5236 is a multiple of 17 such that its reversal - 1 is also a multiple of 17 (A166398).

5236 is a number n such that n and n + 2 are both divisible by exactly five primes (counted with multiplicity) (A180151).

5236 is the number of disconnected 2-regular graphs on 47 vertices (A165652).

Source: OEIS

1776

1776 = 2 x 2 x 2 x 2 x 3 x 37.

1776 is a number that can be expressed as the product of numbers made of only fours (A161142): 1776 =  4 x 444.

1776 is 5115 in base 7.

1776 is a rhombic matchstick number (A045944).

1776 is a number with 20 divisors (A030638).

1776 is the difference of two positive fourth powers (A147857).

1776 divides 73² - 1.

Source: OEIS

5861

5861 is a prime number.

5861 is 1123211 in base 4 (A029972). It is 141421 in base 5.

5861 is the mean of five successive primes (A219478).

5861 is a number such that the product of its digits is 12 times their sum (A062045).

5861 is the first prime in a sequence produced from a prime-generating cubic polynomial of the form 82n³ - 1288n² + 6130n - 5861 (A076808).

5861 has a representation as a sum of two squares: 5861 = 31² + 70².

5861 is the hypotenuse of a primitive Pythagorean triple: 5861² = 3939² + 4340².

Source: Prime Curios!

1736

1736 = 2 x 2 x 2 x 7 x 31.

1736 is the number of ways to place two non-attacking bishops on an 8 x 8 chessboard (A172123).

1736 is the number of ways of writing 65 as the sum of eight nonnegative cubes (A173681).

1736 is a number that is the sum of two positive cubes and divisible by 7 (A101421).

1736 is 12012 in base 6.

1736 divides 25³ - 1.

Source: What's Special About This Number?

3798

3798 = 2 x 3 x 3 x 211.

3798 is a value of n for which 2n and 9n together use each of the digits 1 to 9 exactly once.

3798 is the number of ways of writing 64 as a sum of nine nonnegative cubes (A173682).

3798 divides 55⁵ - 1.

Source: What's Special About This Number?

1599

1599 = 3 x 13 x 41.

1599 is 22344 in base 5 and 11223 in base 6. It is 4443 in base 7 (A032831).

1599 is a number n such that the square of n is the sum of two or more consecutive squares (A097812).

1599 is the sum of three consecutive pentagonal numbers (A129863).

1599 is a happy-go-lucky number; it is both happy and lucky (A091431).

Source: OEIS

1559

1559 is a prime number. It is a Sophie Germain prime because 2 x 1559 + 1 = 3119 is also prime (A005384).

Reversing the digits of 1559 produces the prime 9551. 1559 is the smallest such prime that becomes a semiprime when any single digit is removed.

1559 is the smallest prime p with 16 consecutive quadratic residues mod p.

1559 is the number of different ways to divide an 11 x 11 square into sub-squares, considering only the list of parts (A034295).

1559 is 2010202 in base 3. It is 2122 in base 9.

Source: Prime Curios!

7296

7296 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19.

7296 is a multiple of 24 whose digits also sum to 24 (A066270). The sum of the digits of 7296 equals the sum of the unique prime divisors of 7296 (A070275).

7296 is 5533 in base 11 and 2266 in base 15 (A033013).

7296 is the number of rooted polyhedral graphs with 15 edges (A000287).

7296 divides 65⁶ - 1.

Source: OEIS

4500

4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5. It has exactly three distinct prime factors, none of which is greater than 5 (A143207).

4500 is the smallest base in which KJIHGFEDCBA987654321 is a prime. All shorter such strings achieve prime status in mch smaller bases (192 is the maximum required). Not until the string (110)(109)(108) . . . 321 is a higher base required.

4500 is the number of regions formed when all diagonals are drawn in a regular 20-gon (A007678).

4500 is a concentric icosagonal number (A195148).

4500 can be represented in bases 2, 3, 4, and 5 using only the digits 0, 1, and 2. It is 3421 in base 11.

4500 has two representations as a sum of two squares: 4500 = 12² + 66² = 30² + 60².

Source: Prime Curios!

3701

3701 is a prime number.

3701 is a prime that is the sum of seven consecutive primes (A082246).

3701 is the smallest prime with exactly 22 representations as a sum of three distinct positive squares (A242675).

3701 has a representation as a sum of two squares (A108655): 3701 = 26² + 55².

3701 is the hypotenuse of a primitive Pythagorean triple: 3701² = 2349² + 2860².

Source: OEIS

8111

8111 is a prime number. It is a Sophie Germain prime because 2 x 8111 = 16223 is also prime. Every digit of 8111 is a perfect cube (A061247 and A066592).

8111 is a prime that results from merging four successive digits in the decimal expansion of pi (A104824).

8111 is the concatenation of the first two digits and the last two digits of the 35th Mersenne prime (A138863).

8111 is 102010102 in base 3. It is 12112 in base 9 (A032930).

Source: OEIS

2004

2004 = 2 x 2 x 3 x 167.

2004 has a square with the last three digits the same as the three digits before them: 2004² = 4016016.

2²⁰⁰⁴ + 823 is a prime. It is the smallest prime of the form 2²⁰⁰⁴ + k. The reversal of 2²⁰⁰⁴ is a prime (A057708).

(2004 x 4002) - 1 is a prime.

2004 was a year in which there were five Sundays in the month of February (A119406).

Source: Prime Curios!

5325

5325 = 3 x 5 x 5 x 71.

5325 is a lucky number of only prime digits (A118718).

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

The product of the digits of 5325 is 10 times the sum of the digits (A062043).

5325 is 21345 in base 7. It is 4001 in base 11.

5325 is the sum of the remainders when the 40th prime is divided by all preceding integers (A050482).

5325 divides 76⁵ - 1.

Source: OEIS

7289

7289 = 37 x 197.

7289 and each of its two divisors include the digit 7 (A062676).

7289 is 2929 in base 14.

7289 has two representations as a sum of two squares: 7289 = 8² + 85² = 20² + 83².

7289 is the hypotenuse of two primitive Pythagorean triples: 7289² = 1360² + 7161² = 3320² + 6489².

7289 divides 14¹² - 1.

Source: OEIS

7368

7368 = 2 x 2 x 2 x 3 x 307.

7368 is a multiple of 24 whose digits also sum to 24 (A066270).

7368 is 5599 in base 11.

7368 minus the sum of its unique prime factors is a square (A216894): 7368 - (2 + 3 + 307) = 7056 = 84².

7368 divides 17⁶ - 1.

7368 is the number of partitions of 52 such that the sum of the square of the parts is a square (A240127).

Source: OEIS

1847

1847 is a prime number.

1847 is the number of 2 x 2 x 2 Rubik's cube positions that require exactly four moves to solve.

1847 is 24342 (palindromic) in base 5. It is 737 in base 16 (A029732).

1847 is the sum of the first 50 nonprimes (A051349).

1847 is the lower prime of a difference of 14 between consecutive primes (A031932).

The first adhesive U.S. postage stamp went on sale in the year 1847. Thomas Edison was born in the year 1847 and died in the prime year 1931.

Source: Prime Curios!

2579

2579 is a prime number. It is a safe prime (A005385).

2579 is the smallest prime number that can be expressed as the sum of 13 consecutive Fibonacci numbers (the fourth to the sixteenth). It is also a prime that is the difference of two Fibonacci numbers (A113188).

2579 is the smallest prime that is equal to the sum of 35 consecutive primes (A070934).

2579 is 40304 in base 5 (A029973).

Source: Prime Curios!

7777

7777 = 7 x 11 x 101. It is a palindrome with exactly three distinct palindromic prime factors (A046409).

7777 has the representation 6⁵ + 1 (A062394). It is 100001 (palindromic) in base 6 (A029963 and A033043).

7777 divides 36⁵ - 1.

7777 is a number that is the sum of two positive fifth powers (A003347 and A004842).

7777 is a Kaprekar number (A006886).

Source: OEIS

1809

1809 = 3 x 3 x 3 x 67.

1809 is the sum of the first 26 palindromes (A046489).

1809 is the sum of the first 17 primes whose indices are primes (A083186).

1809 is a non-palindromic balanced number; the first and last half of its digits have the same sum (A145808).

1809 is a multiple of 9 that contains 9 in its decimal representation (A121029).

1809 is 3421 in base 8. It is 809 in base 15.

1809 divides 37³ - 1.

Source: OEIS

4391

4391 is a prime number. It is a Sophie Germain prime because 2 x 4391 + 1 = 8783 is also a prime.

4391 is the smaller of two consecutive Sophie Germain primes with the same digital sum (A118506).

4391 is the sum of the first 47 primes minus 47 (A101301).

4391 is a number that cannot be written as a sum of three squares.

4391 is 3332 in base 11 (A032811).

Source: OEIS

2504

2504 = 2 x 2 x 2 x 313.

2504 is 40004 in base 5 (A097251).

2504 is a Friedman number (A036057).

2504 is the number of forests of ordered trees on 9 total nodes (A052854).

2504 has a representation as a sum of two squares: 2504 = 2² + 50².

2504 divides 25⁴ - 1.

Source: What's Special About This Number?

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