62 lines
2.0 KiB
Markdown
62 lines
2.0 KiB
Markdown
---
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id: 5900f3811000cf542c50fe94
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challengeType: 5
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title: 'Problem 21: Amicable numbers'
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videoUrl: ''
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localeTitle: 'Problema 21: números amistosos'
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---
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## Description
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<section id="description"> Sea d ( <var>n</var> ) definido como la suma de los divisores propios de <var>n</var> (números menores que <var>n</var> que se dividen uniformemente en <var>n</var> ). Si d ( <var>a</var> ) = <var>b</var> y d ( <var>b</var> ) = <var>a</var> , donde <var>a</var> ≠ <var>b</var> , entonces <var>a</var> y <var>b</var> son un par amigable y cada uno de <var>a</var> y <var>b</var> se llama números amistosos. Por ejemplo, los divisores propios de 220 son 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 y 110; por lo tanto, d (220) = 284. Los divisores propios de 284 son 1, 2, 4, 71 y 142; entonces d (284) = 220. Evalúa la suma de todos los números amistosos bajo <var>n</var> . </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>sumAmicableNum(1000)</code> debe devolver 504.
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testString: 'assert.strictEqual(sumAmicableNum(1000), 504, "<code>sumAmicableNum(1000)</code> should return 504.");'
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- text: <code>sumAmicableNum(2000)</code> debe devolver 2898.
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testString: 'assert.strictEqual(sumAmicableNum(2000), 2898, "<code>sumAmicableNum(2000)</code> should return 2898.");'
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- text: <code>sumAmicableNum(5000)</code> debe devolver 8442.
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testString: 'assert.strictEqual(sumAmicableNum(5000), 8442, "<code>sumAmicableNum(5000)</code> should return 8442.");'
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- text: <code>sumAmicableNum(10000)</code> debe devolver 31626.
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testString: 'assert.strictEqual(sumAmicableNum(10000), 31626, "<code>sumAmicableNum(10000)</code> should return 31626.");'
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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 sumAmicableNum(n) {
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// Good luck!
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return n;
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}
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sumAmicableNum(10000);
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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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