Maths Olympiad Prep

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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.

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

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