AMC 10 Step by Step
2013 AMC 10BProblem 24P21-25~8 minPrint

A positive integer nn is nice if there is a positive integer mm with exactly four positive divisors (including 11 and mm ) such that the sum of the four divisors is equal to nn . How many numbers in the set {2010,2011,2012,,2019}\{ 2010,2011,2012,\dotsc,2019 \} are nice?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.