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2013 AMC 10B Problem 24

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2013 AMC 10B Problem 24AMC 10 Step by Step

Name: Date: September 13, 2026

Divisibility & Factors · difficulty 4 of 5 · about 8 min · position P21-25

A positive integer $n$ is nice if there is a positive integer $m$ with exactly four positive divisors (including $1$ and $m$ ) such that the sum of the four divisors is equal to $n$ . How many numbers in the set $\{ 2010,2011,2012,\dotsc,2019 \}$ are nice?

A)
$1$
B)
$2$
C)
$3$
D)
$4$
E)
$5$

2013 AMC 10B Problem 24

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