---
id: 5900f52c1000cf542c51003d
title: 'Problem 446: Retractions B'
challengeType: 5
forumTopicId: 302118
dashedName: problem-446-retractions-b
---

# --description--

For every integer n>1, the family of functions fn,a,b is defined

by fn,a,b(x)≡ax+b mod n for a,b,x integer and 0

F(N)=∑R(n4+4) for 1≤n≤N. F(1024)=77532377300600.

Find F(107) (mod 1 000 000 007)

# --hints--

`euler446()` should return 907803852.

```js
assert.strictEqual(euler446(), 907803852);
```

# --seed--

## --seed-contents--

```js
function euler446() {

  return true;
}

euler446();
```

# --solutions--

```js
// solution required
```