185 = 5 x 37. 185 has two representations as a sum of two squares: 185 = 4 2 + 13 2 = 8 2 + 11 2 . 185 is the hypotenuse of two primi...

274 = 2 x 137. 274 has a representation as a sum of two squares: 274 = 7 2 + 15 2 . 274 is a centered triangular number . 274 is the ...

1375 = 5 x 5 x 5 x 11. 1375 is a decagonal pyramidal number ( A007585 ). 1375 is 111133 in base 4. 1375 is the smaller of two consecu...

735 = 3 x 5 x 7 x 7. It is a number divisible by the product of its digits ( A007602 ). It is also divisible by the sum of its digits (7 + 3...

723 = 3 x 241. 723 = (1!)! + (2!)! + (3!)! ( A059590 ). 723 = 3 6 - 6. 723 is 333 in base 15. 723 is the smallest positive number t...

1134 = 2 x 3 x 3 x 3 x 3 x 7. 1134 is the smallest number such that the sum of its proper divisors equals the sum of the sums of proper di...

916 = 2 x 2 x 229. When 916 is raised to the sum of its digits and increased by 1, the result is a prime: 916 (9 + 1 + 6) + 1. It is t...

715 = 5 x 11 x 13. 715 is the tenth pentatope number . It is also a pentagonal number  ( A000326 ), a hendecagonal number ( A051682 ), and...

134 = 2 x 67. 134 2 - 67 2 = 13467. 134 is the maximum number of regions into which 12 circles divide the plane. 134 is 11222 in ba...

308 = 2 x 2 x 7 x 11. 308 is a heptagonal pyramidal number . 308 is the maximum number of regions into which 18 circles divide the plane...

704 = 2 x 2 x 2 x 2 x 2 x 2 x 11. 704 has a unique representation as a sum of three squares: 704 = 8 2 + 8 2 + 24 2 . 704 is the maxi...

496 = 2 x 2 x 2 x 2 x 31. 496 is the 31st triangular number . It is the sum of all integers from 1 to 31. It is also a hexagonal number  a...

2219 = 7 x 317. It is the product of two primes whose sum is a perfect square ( A141755 ): 7 + 317 = 324 = 18 2 . 2219 is the number of 1...

280 = 2 x 2 x 2 x 5 x 7. 280 is 100011000 in base 2 (binary). 280 has a unique representation as a sum of three squares: 280 = 6 2 + 10...

578 = 2 x 17 x 17. 578 has two representations as a sum of two squares ( A118882 ): 578 = 7 2 + 23 2 = 17 2 + 17 2 . 578 is the nu...

970 = 2 x 5 x 97. 970 has two representations as a sum of two squares: 970 = 3 2 + 31 2 = 21 2 + 23 2 . 970 is a heptagonal number ...

390 = 2 x 3 x 5 x 13. The prime factorization of 390 exhibits the smallest digital sum, [(2 + 3 + 5 + (1 + 3)] = 14, of any factorization w...

664 = 2 x 2 x 2 x 83. 664 is a value of n such that n ( n + 7) is a palindrome (445544). 664 is 554 in base 11 and 474 in base 2. 6...

471 = 3 x 157. 471 is 111010111 in base 2 (binary) ( A006995 ). It is 333 in base 12 and 727 in base 8. 471 is the smallest number with ...

955 = 5 x 191. 955 is the number of ways to arrange the numbers 1 to 9 around a circle so that the sums of adjacent numbers are distinct....