olymmath

HMMT November 2016 U36

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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 XX and the actual value is YY, your score will be max⁡(0,20−80∣1−XY∣)\max \left(0,20-80\left|1-\frac{X}{Y}\right|\right) rounded to the nearest integer.

Dataset text NuminaMath olympiads. Quoted with source.

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