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.

Submitted by K Sengupta

Rating: 3.0000 (2 votes)

Solution: (Hide)

The required maximum value of T is 19683.

For an explanation, refer to the respective solutions posted by Daniel in this location and by Dej Mar in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
solution	Dej Mar	2008-10-10 06:34:33
analytic solution	Daniel	2008-10-09 21:28:30
re(2): sloane A061209	Ady TZIDON	2008-10-09 13:36:02
re: sloane	ed bottemiller	2008-10-09 13:30:14
sloane	Ady TZIDON	2008-10-09 12:55:06
Trial	ed bottemiller	2008-10-09 12:28:44

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