Thursday, December 6, 2012

996

996 = 2 x 2 x 3 x 83.

996 has a square (992016) formed by inserting a block of digits inside itself (A045953, A046829), A046851, and A086457).

The sum of the squares of the first 996 primes is a prime (A098561).

996 is the number of cubic lattice walks that start and end at the origin after 6 steps, not touching the origin at intermediate stages (A049037).


Source: What's Special About This Number?

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