Competition problem — Number theory

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Number theory Difficulty 5.3 AIME, harder Find the answer

12. A positive integer $m$ is called a perfect number if $\sigma(m)=2 m$ . Try to find the two smallest perfect numbers.

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

12. 6,28 .

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.