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Summing Digits (Posted on 2007-02-26) Difficulty: 3 of 5
Prove that there is a finite number of values of n that satisfy

n = 4s(n) + 3s(s(n)) + 2s(s(s(n))) + 1

where n is a positive integer and s(n) denotes the sum of the digits of n. Also, determine analytically, all values of n that satisfy the equation.

See The Solution Submitted by Dennis    
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solution | Comment 3 of 4 |

Edited on February 26, 2007, 11:00 pm
  Posted by hoodat on 2007-02-26 22:58:42

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