2018-09-30 22:01:58 +00:00
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---
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id: 5900f4fd1000cf542c51000f
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challengeType: 5
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title: 'Problem 401: Sum of squares of divisors'
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---
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## Description
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<section id='description'>
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The divisors of 6 are 1,2,3 and 6.
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The sum of the squares of these numbers is 1+4+9+36=50.
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Let sigma2(n) represent the sum of the squares of the divisors of n.
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Thus sigma2(6)=50.
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Let SIGMA2 represent the summatory function of sigma2, that is SIGMA2(n)=∑sigma2(i) for i=1 to n.
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The first 6 values of SIGMA2 are: 1,6,16,37,63 and 113.
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Find SIGMA2(1015) modulo 109.
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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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2018-10-04 13:37:37 +00:00
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tests:
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- text: <code>euler401()</code> should return 281632621.
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2018-10-20 18:02:47 +00:00
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testString: assert.strictEqual(euler401(), 281632621, '<code>euler401()</code> should return 281632621.');
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2018-09-30 22:01:58 +00:00
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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 euler401() {
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// Good luck!
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return true;
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}
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euler401();
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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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