244 = 2 2 x 61. 244 has a representation as a sum of two squares: 244 = 10 2 + 12 2 . It is the second smallest sum of squares a 2 + b 2 ...

706 = 2 x 353. 706 has a representation as a sum of two squares: 706 = 9 2 + 25 2 . 706 is 424 in base 13. 706 is a Smith number because...

304 = 2 4 x 19. 304 has a unique representation as a sum of three squares: 304 = 4 2 + 12 2 + 12 2 . 304 is a primitive pseudoperfect num...

707 = 7 x 101. 707 is the smallest number whose reciprocal has period 12: 1/ 707 = 0.001414427157001414427157001. . . 707 is the sum of fiv...

288 = 2 5 x 3 2 . 288 has a representation as a sum of two squares: 288 = 12 2 + 12 2 . 288 has the representation 288 = 2 8 + 32. 288 i...

102 = 2 x 3 x 17. The number and the sum of its digits, 3, is equal to the number of its different prime factors. 102 is 66 in base 16. 102 ...

189 = 3 3 x 7. The product of the four primes in a prime quadruplet (except for 5, 7, 11, 13) always ends in 189 . Example: 101 x 103 x 10...

472 = 2 3 x 59. 472 is the sum of two successive primes: 472 = 233 + 239 . The sum of the divisors of 472 is a square: 1 + 2 + 4 + 8 + 59 ...

927 = 3 2 x 103. 927 is the 13th tribonacci number . 927 is the sum of 17 but no fewer nonzero fourth powers . It is the sum of 10 nonzero ...

912 = 2 4 x 3 x 19. 912 is a divisor of 49 3 - 1. 912 is a pentanacci number . 912 is 2442 in base 7. 912 is the sum of four consecutive p...

455 = 5 x 7 x 13. 455 is 111000111 in base 2 (binary), and it is 555 in base 9. 455 is the 13th tetrahedral number . 455 is a number that ca...

289 = 17 2 . 289 is the largest 3-digit square with increasing digits. 289 has a representation as a sum of two squares: 289 = 8 2 + 15 2 ....

1235 = 5 x 13 x 19. 1235 is an aspiring number . 1235 is 103103 in base 4 and 2323 in base 8. It is 575 in base 15. The square of 1235 uses ...

688 = 2 4 x 43. 688 has a unique representation as a sum of three squares: 688 = 12 2 + 12 2 + 20 2 . 688 is a vampire number because the...

257 is a prime number. It is the second largest known Fermat prime . 257 is 100000001 in base 2 (binary). 257 has a representation as a sum ...

767 = 13 x 59. 767 is the smallest number n such that n 4 contains a substring with all the digits exactly once: 767 4 = 346083947521. 76...

1133 = 11 x 103. 1133 is 1112222 in base 3. 1133 , 1135, 1137, 1139, and 1141 are all semiprimes. 1133 is a number n such that n 2 is the...

659 is a prime number. It is a Sophie Germain prime because 2 x 659 + 1 = 1319 is also a prime. 0 659 , 2659, 3659, 5659, and 6659 are all p...

374 = 2 x 11 x17. 374 is the smallest number with eight representations as a sum of three positive squares: 374 = 1 2 + 7 2 + 18 2 = 2 2 ...

951 = 3 x 317. 951 is 1110110111 in base 2 (binary) and 2526 in base 7. 951 is a centered pentagonal number . 951 is a number that cannot be...