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

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?