Maths Olympiad Prep

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HMMT February

Number theory Difficulty 4.7 AIME Find the answer

Let AA be as in problem 33. Let WW be the sum of all positive integers that divide AA. Find WW.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Problems 31-33 go together. See below.

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Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.