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MathNet 2016-part-06 — 184 problems (EN–VI) Question 68

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 68

Find all natural numbers $n$ such that:
$$
\sum_{\substack{d \mid n \\ 1 \leq d \lt n}} d^{2} = 5(n+1)
$$