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MathNet 2016-part-07 — 182 problems (EN–VI) Question 147

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

Question 147

Find the number of positive integers less than $1000000$ which are less than or equal to the sum of their proper divisors. If your answer is $X$ and the actual value is $Y$, your score will be $\max \left(0,20-80\left|1-\frac{X}{Y}\right|\right)$ rounded to the nearest integer.

Proposed by: Allen Liu