olymmath

NMC 2024 Problem 1

    Let T(a)T(a) be the sum of digits of aa. For which positive integers RR does there exist a positive integer nn such that T(n2)T(n)=R\frac{T\left(n^{2}\right)}{T(n)}=R ?

    Dataset text NuminaMath olympiads. Quoted with source.

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