Friday, November 16, 2012

454

454 = 2 x 227.

454 is the largest number known that cannot be written as a sum of seven or fewer cubes (A018889).

454 is a Smith number (A006753). The sum of its digits (4 + 5 + 4 = 13) is equal to the sum of the digits of its prime factors (2 + 2 + 2 + 7 = 13).

1 + 8 + 10 + 17 = 36 = 2 + 5 + 13 + 16
12 + 82 + 102 + 172 = 454 = 22 + 52 + 132 + 162
13 + 83 + 103 + 173 = 6426 = 23 + 53 + 133 + 163

454 is 383 in base 11 (A029966) and 246 in base 14.


Source: What's Special About This Number?

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