745 = 5 x 149. 745 has two representations as a sum of two squares: 745 = 4 2 + 27 2 = 13 2 + 24 2 . 745 is the hypotenuse of two Pythag...

333 = 3 2 x 37. 333 has a representation as a sum of two squares: 333 = 3 2 + 18 2 . 333 = 101 + 11 + 2 + 3 + 41 + 5 + 61 + 7 + 83 + 19, w...

9293 is a prime number. It is also a Sophie Germain prime because 2 x 9293 + 1 = 18587, which is also a prime. 9293 reversed is also a prime...

379 is a prime number. 379 is a divisor of 51 3 - 1. 379 is the maximum number of regions into which 27 lines divide the plane. 379 is the...

980 = 2 2 x 5 x 7 2 . 980 has a representation as a sum of two squares: 980 = 14 2 + 28 2 . 980 is a divisor of 99 2 - 1. 980 is 1100022 ...

648 = 2 3 x 3 4 = 1 2 x 2 3 x 3 4 . 648 has a representation as a sum of two squares: 648 = 18 2 + 18 2 . 648 is the smallest number wh...

119 = 7 x 17. It is the product of the first two primes ending with 7. 119 = 14 + 15 + 16 + 17 + 18 + 19 + 20. 119 is 1110111 in base 2 (bin...

764 = 2 2 x 191. 764 is a number that cannot be written as a sum of three squares. 764 is the number of 8 x 8 symmetric permutation matric...

962 = 2 x 13 x 37. 962 has two representations as a sum of two squares: 962 = 1 2 + 31 2 = 11 2 + 29 2 . 962 is 4242 in base 6 and 282 in...

104 = 2 3 x 13. 104 has a representation as a sum of two squares: 104 = 2 2 + 10 2 . 104 is the number of integer partitions of 23 into ...

412 = 2 2 x 103. 412 is a number that cannot be written as a sum of three squares. 412 is the number of subsets of {1, 2, 3, . . . , 11} th...

800 = 2 5 x 5 2 . 800 has two representations as a sum of two squares: 800 = 4 2 + 28 2 = 20 2 + 20 2 . 800 is 2222 in base 7 and 200 in...

8518 = 2 x 4259. 8518 is 6444 in base 11. It takes 11 steps of the "reverse and add" algorithm to reach a palindrome: 8518 ; 8518 ...

2096 = 2 4 x 131. 2096 is 2212122 in base 3, 200300 in base 4, and 4060 in base 8. 2096 is a number such that n 2 + 1 and n 2 + 3 are bot...

596 = 2 2 x 149. 596 has a representation as a sum of two squares: 596 = 14 2 + 20 2 . 596 is the maximum number of regions into which 34...

961 = 31 2 . It is a perfect square. 961 is the largest square with strictly decreasing digits. It is also the largest prime power of a prim...

705 = 3 x 5 x 47. 705 is the smallest Lucas psuedoprime . 705 is a rhombic matchstick number : n (3 n + 2) for n = 15. 705 is an odd inter...

208 = 2 4 x 13. 208 has a representation as a sum of two squares: 208 = 8 2 + 12 2 . 208 = 2 8 - 48. 208 is a divisor of 25 2 - 1. 208 ...