Monday, January 30, 2012

748

748 = 22 x 11 x 17.

7484 = 313,044,726,016 = (3 + 1 + 3 + 0 + 4 + 4 + 726 + 0 + 1 + 6)4.

The sum of the base 3 digits (1000201) of 748 equals the sum of the base 9 digits (1021) of 748.


748 is the sum of factorials of distinct integers: 748 = 6! + 4! + 2! + 1! + 0!.



748 is the number of 3 x 3 sliding puzzle positions that require exactly 12 moves to solve starting with the hole in a corner.

Source: What's Special About This Number?

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