All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
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: sloane | Comment 3 of 6 |
(In reply to sloane by Ady TZIDON)

I don't understand your posting "<A061209" -- is this a hexadecimal or what?? I read the problem as requesting "a positive base 10 integer T", presumably not starting with zero.  There would be no valid seven digit T, since the maximum sum would be 63 (9*7) which has cube only 250047 (less than seven digits). No six digit numbers fit the equation.
  Posted by ed bottemiller on 2008-10-09 13:30:14

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information