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MATH / 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. Find the…

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problem

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 n.n. Find the sum of all the nice numbers in the set {2010,2011,2012,…,2019}.\{ 2010,2011,2012,\dots,2019 \}.
Plain-text mathematical notation (without MathML)
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. Find the sum of all the nice numbers in the set {2010,2011,2012,…,2019}.
Original LaTeX notation
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 $n.$ Find the sum of all the nice numbers in the set $\{ 2010,2011,2012,\dots,2019 \}.$

level

Level 5

type

Number Theory

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Source and history

task_id
895322d5-2939-5dc6-a391-0e847b398768
task_key
number~5ftheory--test--895322d5-2939-5dc6-a391-0e847b398768
task_revision_id
1
config / split
number_theory / test

Official source

initial import