Thursday, March 28, 2013

1588

1588 = 2 x 2 x 397.

1588 has a representation as a sum of two squares: 1588 = 122 + 382.

1588 is the sum of the totient function for the first 72 integers.

1588 is the maximum number of regions into which 4-space can be divided by 13 hyperspheres (A059173).

1588 is the sum of the path lengths of all binary trees with 5 edges (A138156).

The 1588th triangular number (1,261,666) contains only the digits 1, 2, and 6 (A119104).


Source: On-Line Encyclopedia of Integer Sequences

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