2854

2854 = 2 x 1427.

2854 is a semiprime with a prime sum of factors (A108605) and with a prime sum of decimal digits (A108610).

2854 is the smallest number that can be written as a sum of distinct Fibonacci numbers in 48 ways (A013583).

2854 is a semiprime s such that s + 3 and s - 3 are both primes (A176140).

Source: OEIS

3201

3201 = 3 x 11 x 97.

3201 is an octagonal number (A000567).

3201 is the number of regions in a regular 33-gon that are hexagons (A067153).

3201 is the sum of the first 22 Sophie Germain primes (A066819).

3201 divides 98² - 1.

3201 is 12222 in base 7.

Source: OEIS

3981

3981 = 3 x 1327.

3981 is the largest number whose fifth power has 18 digits (A114323).

3981 is 111411 in base 5.

3981 is a power of the fifth root of 100, rounded to the nearest integer (A205770).

The aliquot divisors of 3981 sum to a cube (A048698).

Source: OEIS

7740

7740 = 2 x 2 x 3 x 3 x 5 x 43.

7740 is a pentagonal number (A049452). It is a pentagonal number that is not the difference of two larger pentagonal numbers (A136113), but it is the sum of two other positive pentagonal numbers (A136117).

7740 is 55500 in base 6 (A097252).

7740 is the number of primes less than 13! (A133228).

7740 is the sum of the interior angles of a 45-sided polygon in degrees (A066164).

7740 divides 49⁶ - 1.

Source: Number Gossip

1833

1833 = 3 x 13 x 47.

1833 is the first of two consecutive sphenic numbers (A215217).

The 1833rd triangular number is palindromic (A008509): 1680861.

1833 is the start of the first run of exactly 7 consecutive odd composite numbers (A075067).

1833 divides 95⁶ - 1.

Source: OEIS

3839

3839 = 11 x 349.

3839 is 120210012 in base 3, the concatenation of three permutations of the digits 0, 1, 2.

3839 is the sum of 11 distinct powers of 2 (A038462).

3839 is the difference between two double factorials (A111300).

3839 is the concatenation of two consecutive numbers (A001704 and A127421).

3839 divides 67²⁹ - 1.

3839 is a number that cannot be written as a sum of three squares.

Source: OEIS

6306

6306 = 2 x 3 x 1051.

6306 is the sum of three consecutive semiprimes (A173968).

6306 divides 55²⁵ - 1.

6306 is the first of a triplet of consecutive squarefree numbers each of which has exactly three distinct prime factors (A242606).

Source: OEIS

8775

8775 = 3 x 3 x 3 x 5 x 5 x 13.

8775 = (25 x 26 x 27)/2 (A027480).

8775 divides 82¹² - 1.

8775 is a number that cannot be written as a sum of three squares.

Source: OEIS

9900

9900 = 2 x 2 x 3 x 3 x 5 x 5 x 11.

9900 is a pronic number, the product of two consecutive integers: 9900 = 99 x 100.

9900 has two distinct digits in base 2 (10011010101100), base 10 (9900), base 19 (1881), and base 21 (1199), each using two digits the same number of times.

9900 divides 19¹⁰ - 1.

Source: Number Gossip

4459

4459 = 7 x 7 x 7 x 13.

4459 divides 18¹² - 1.

4459 is a number having exactly four representations by the quadratic form x² + xy + y² with 0 less than or equal to x less than or equal to y (A198775).

4459 is the number of Ramanujan primes less than 100,000 (A181671).

Source: OEIS

5873

5873 = 7 x 839.

5873 divides 1¹ + 2² + 3³ + . . . + 5873⁵⁸⁷³ (A128981).

5873 is a number n such that n divides the sum of the first n numbers from Flavius Josephus's sieve (A218665).

Source: What's Special About This Number?

1825

1825 = 5 x 5 x 73.

1825 is an octagonal number (A000567).

1825 is the smallest number whose square begins with three 3s (A131573 and A025286 and A025304 and A034982).

1825 has three representations as a sum of two squares (A025313): 1825 = 12² + 41² = 15² + 40² = 23² + 36².

1825 is the hypotenuse of two primitive Pythagorean triples: 1825² = 767² + 1656² = 984² + 1537².

1825 divides 74² - 1.

Source: What's Special About This Number?

4320

4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.

4320 = (6 + 4) x (6 + 3) x (6 + 2) x (6 + 0).

4320 = 7! - 6! (A001563 and A058295).

4320 is the maximal kissing number of a 16-dimensional laminated lattice (A002336).

4320 is a number n such that n! is the product of exactly four smaller factorials (A109097).

4320 divides 53⁸ - 1.

Source: OEIS

5942

5942 = 2 x 2971.

5942 is the maximum number of regions the plane is divided into by 45 triangles (A077588).

5942 is the number of partitions of 51 in which the greatest part is 6 (A026812).

5942 divides 55⁶ - 1.

Source: OEIS

5545

5545 = 5 x 1109.

5545 is a member of the Fibonacci-type sequence starting with 1 and 5 (A022095).

5545 uses only the digits 1 and 2 in base 4 (1112221) and base 7 (22111).

5545 is a concentric dodecagonal number (A195143).

5545 has two representations as a sum of two squares: 5545 = 19² + 72² = 28² + 69².

5545 is the hypotenuse of two primitive Pythagorean triples: 5545² = 2736² + 4823² = 3864² + 3977².

Source: What's Special About This Number?

5276

5276 = 2 x 2 x 1319.

5276 is the number of binary strings of length 14 with no substrings equal to 0000 or 0010 (A164387).

5276 is a number n such that n - 3, n + 3, and n + 5 are all primes (A144842).

5276 is the number of moves needed to solve the 4-peg Tower of Hanoi puzzle with 22 disks (A160002).

5276 cannot be written as a sum of three squares.

Source: OEIS

1796

1796 =  2 x 2 x 449.

1796 is the palindrome 2110112 in base 3 (A043002).

1796 is the number of lines through exactly 10 points of a 52 x 52 grid of points (A018817).

1796 is the sum of 11 nonzero 8th powers (A003389).

1796 has a representation as a sum of two squares: 1796 = 14² + 40².

1796 divides 67⁴ - 1.

In the year 1796, Carl Friedrich Gauss proved that a regular 17-gon can be constructed using only compass and straightedge.

Source: OEIS

3810

3810 = 2 x 3 x 5 x 127.

3810 is the number of ways to place a non-attacking white and black pawn on a 9 x 9 chessboard (A035290).

3810 is a sum of primes between successive pairs of twin primes (A078731).

3810 in base 6 and base 9 both use the same set of digits {0, 2, 3, 5} (A037436).

3810 divides 19⁶ - 1.

Source: What's Special About This Number?

9931

9931 is a prime number.

9929 and 9931 form a twin prime pair. 9931 is the larger of the greatest twin prime pair with four digits (A114429).

9931 and its reversal, 1399, are both primes (A101782).

9931 is a prime with 10 as the smallest positive primitive root (A061323).

9931 is a prime p such that p - 2 and p³ - 2 are also prime (A240124).

9931 is a prime that is the sum of 8 but no fewer squared primes (A183216).

Source: OEIS

5992

5992 = 2 x 2 x 2 x 7 x 107.

5992 is the number of binary strings of length 13 with equal numbers of 00101 and 10010 substrings (A164247).

5992 is the number of powerful numbers not exceeding 2²³ (A062762).

5992 is 43424 in base 6.

Source: OEIS

9147

9147 = 3 x 3049.

9147 is 6966 in base 11.

9147 is the number of primitive (aperiodic) reversible strings with 9 beads using exactly three different colors (A056319).

9147 is the sum of the first 45 primes of the form 4a - 1 (A038347).

Source: OEIS

6233

6233 = 23 x 271.

6233 is the least number that can be expressed as the sum of a prime number and a nonzero square in just 28 ways (A064283).

6233 is 22112212 in base 3. It is 144413 in base 5 and 14131 in base 8. 6233 is 8485 in base 9.

6233, 623, 62, and 6 are all semiprimes (A085733).

6233 is the number of primes of the form x² + 1 less than 2³³ (A083847).

Source: OEIS

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