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---
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id: 5900f52c1000cf542c51003d
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challengeType: 5
title: 'Problem 446: Retractions B'
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videoUrl: ''
localeTitle: 'Problema 446: Retracciones B'
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---
## Description
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< section id = "description" > Para cada entero n> 1, la familia de funciones fn, a, b está definida por fn, a, b (x) ≡ax + b mod n para a, b, x entero y 0 < p > F (N) = ∑R (n4 + 4) para 1≤n≤N. F (1024) = 77532377300600. < / p > < p > Encuentre F (107) (mod 1 000 000 007) < / p > < / section >
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## Instructions
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< section id = "instructions" >
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< / section >
## Tests
< section id = 'tests' >
```yml
tests:
- text: < code > euler446()</ code > debe devolver 907803852.
testString: 'assert.strictEqual(euler446(), 907803852, "< code > euler446()< / code > should return 907803852.");'
```
< / section >
## Challenge Seed
< section id = 'challengeSeed' >
< div id = 'js-seed' >
```js
function euler446() {
// Good luck!
return true;
}
euler446();
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```
< / div >
< / section >
## Solution
< section id = 'solution' >
```js
// solution required
```
< / section >