Friday, January 24, 2014

8128

8128 = 2 x 2 x 2 x 2 x 2 x 2 x 127.

8128 is a perfect number (27 - 1(27 - 1)), associated with the Mersenne prime 127 = 27 - 1 (A000396). It is the largest perfect number whose index (4) is equal to the number of digits.

8128 is the 127th triangular number; it is the sum of the first 127 integers. 8128 is the 64th hexagonal number. It is also a centered nonagonal number (A060544).

8128 divides 6314 - 1.


Source: Number Gossip

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