Question
Does there exist a natural number which, when divided by the sum of its digits with a remainder, yields `2017` as both the quotient and the remainder?
Difficulty level (1 very easy - 10 very hard): 4
Topics:
Number Theory
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Modular Arithmetic / Remainder Arithmetic
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Divisibility Rules
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Divisibility Rules by 3 and 9
Proof and Example
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Proof by Contradiction
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