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MathNet 2024-part-04 — 168 problems (EN–VI) Question 76

Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)

Question 76

For each positive integer $x$ let $\sigma(x)$ be the sum of its positive divisors and $\tau(x)$ be the number of the positive divisors of $x$.
Find all positive integers $n$ such that $\sigma(\tau(n)) = n$.