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Equal digit sum (Posted on 2012-11-22) Difficulty: 5 of 5
Find all integers n such that S(n) = S(2n) = ... = S(n*n), where S is the sum of the base-10 digits.

No Solution Yet Submitted by Danish Ahmed Khan    
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Some Thoughts re: computer exploration--no proof | Comment 3 of 4 |
(In reply to computer exploration--no proof by Charlie)

Well, that suffered from lack of precision.

With DEFDBL A-Z, we see that 9999 as well as 99999 and 999999 and 9999999 also work.

I'm assuming it works for all 10^k-1.

  Posted by Charlie on 2012-11-22 12:14:06
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