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Squarely Sorted (Posted on 2013-07-27) Difficulty: 3 of 5
An integer n, such as 1128, is called "sorted" if its digits are in sorted order. Find the largest integer n such that both n and n2 are sorted.

No Solution Yet Submitted by Danish Ahmed Khan    
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more generally | Comment 3 of 4 |
More generally it appears that any number of concatenated 3's (including zero) followed by any number of concatenated 6's (including zero) followed by a 7, when squared, will produce another "sorted" number.
  Posted by Charlie on 2013-07-27 15:49:06
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