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Mock AIME 6 2006-2007 Problems/Problem 5

Revision as of 10:22, 23 November 2023 by Tomasdiaz (talk | contribs) (Created page with "==Problem== Let <math>S(n)</math> be the sum of the squares of the digits of <math>n</math>. How many positive integers <math>n>2007</math> satisfy the inequality <math>n-S(n...")
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Problem

Let $S(n)$ be the sum of the squares of the digits of $n$. How many positive integers $n>2007$ satisfy the inequality $n-S(n)\le 2007$?

Solution

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