Thursday, May 17, 2012

704

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 = 82 + 82 + 242.

704 is the maximum number of regions into which 27 circles divide the plane. It is also a central polygonal number (the maximum number of pieces formed when slicing a pancake with 37 cuts) (A000124).

704 is the number of one-sided octominoes (A000988).

The sum of the fourth power of the prime factors of 704 is a prime (A134620): 6(24) + 114 = 14737.


Source: What's Special About This Number?

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