Wednesday, July 25, 2012

679

679 = 7 x 97.

679 is the smallest number with multiplicative persistence 5 (A003001 and A064869).

679 is the sum of three consecutive primes: 679 = 223 + 227 + 229 (A034961). It is also the sum of nine consecutive primes (A127336): 679 = 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97.

679 is the sum of nine positive fifth powers (A003354): 679 = 35 + 35 + 25 + 25 + 25 + 25 + 25 + 25 + 15.

The sum of the digits of 679 (6 + 7 + 9 = 22) exceeds the sum of the digits of 6792 (4 + 6 + 1 + 0 + 4 + 1 = 17) (A064399).


Source: Number Gossip

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