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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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  Subject Author Date
Some ThoughtsPuzzle Thoughts K Sengupta2023-02-09 03:22:46
Some ThoughtsFirst partFederico Kereki2007-02-27 06:52:52
solutionhoodat2007-02-26 22:58:42
Some ThoughtsCastaways (spoiler)Steve Herman2007-02-26 17:33:40
SolutionsolutionCharlie2007-02-26 16:07:38
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