perplexus.info :: Just Math : Maximum and cubic to a T

Maximum and cubic to a T (Posted on 2008-10-09)

Find analytically the maximum value of a positive base 10 integer T, such that T is equal to the cube of the sum of its digits.

See The Solution Submitted by K Sengupta

Rating: 3.0000 (2 votes)

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Trial

| Comment 1 of 6

The largest value of T I find is 19683 = 27**3.

Lower values are 1, 512, 4913, 5832, and 17576.

Posted by ed bottemiller on 2008-10-09 12:28:44

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