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MathNet 1992 — Part 01 Question 13

Math Olympiad Vault · MathNet 1992 — Part 01

Question 13

Denote by $d(n)$ the number of all positive divisors of a positive integer $n$ (including $1$ and $n$). Prove that there are infinitely many $n$ such that $\frac{n}{d(n)}$ is an integer.