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Maximum and cubic to a T (Posted on 2008-10-09) Difficulty: 3 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): sloane A061209 | Comment 4 of 6 |
(In reply to re: sloane by ed bottemiller)

This is a serial # in Sloane's encyclopedia of integer series-

Please look it up.  You can do it direcctly by clicking said number...

 

Without referring to the Web, it is easily seen that the maximum number cannot excede 6 digits - thus reducing the list of qualifying candidates. 

Edited on October 9, 2008, 1:38 pm
  Posted by Ady TZIDON on 2008-10-09 13:36:02

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