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MathNet 2016-part-07 — 182 problems (EN–VI) Question 122

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 122

Let $d$ be a randomly chosen divisor of $2016$. Find the expected value of
$$
\frac{d^{2}}{d^{2}+2016}
$$