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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-241-perfection-quotients.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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---
id: 5900f45d1000cf542c50ff70
title: 'Problem 241: Perfection Quotients'
challengeType: 5
forumTopicId: 301888
dashedName: problem-241-perfection-quotients
---
# --description--
For a positive integer n, let σ(n) be the sum of all divisors of n, so e.g. σ(6) = 1 + 2 + 3 + 6 = 12.
A perfect number, as you probably know, is a number with σ(n) = 2n.
Let us define the perfection quotient of a positive integer asp(n)= σ(n)n . Find the sum of all positive integers n ≤ 1018 for which p(n) has the form k + 12, where k is an integer.
# --hints--
`euler241()` should return 482316491800641150.
```js
assert.strictEqual(euler241(), 482316491800641150);
```
# --seed--
## --seed-contents--
```js
function euler241() {
return true;
}
euler241();
```
# --solutions--
```js
// solution required
```