64 lines
1.1 KiB
Markdown
64 lines
1.1 KiB
Markdown
---
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id: 5900f45d1000cf542c50ff70
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challengeType: 5
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title: 'Problem 241: Perfection Quotients'
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---
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## Description
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<section id='description'>
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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.
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A perfect number, as you probably know, is a number with σ(n) = 2n.
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Let us define the perfection quotient of a positive integer asp(n)=
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σ(n)n
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.
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Find the sum of all positive integers n ≤ 1018 for which p(n) has the form k + 1⁄2, where k is an integer.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler241()</code> should return 482316491800641150.
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testString: 'assert.strictEqual(euler241(), 482316491800641150, "<code>euler241()</code> should return 482316491800641150.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler241() {
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// Good luck!
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return true;
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}
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euler241();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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