---
id: 5900f4181000cf542c50ff2a
title: >-
  Problem 171: Finding numbers for which the sum of the squares of the digits is a square
challengeType: 5
forumTopicId: 301806
dashedName: >-
  problem-171-finding-numbers-for-which-the-sum-of-the-squares-of-the-digits-is-a-square
---

# --description--

For a positive integer n, let f(n) be the sum of the squares of the digits (in base 10) of n, e.g.

f(3) = 32 = 9,

f(25) = 22 + 52 = 4 + 25 = 29,

f(442) = 42 + 42 + 22 = 16 + 16 + 4 = 36

Find the last nine digits of the sum of all n, 0 < n < 1020, such that f(n) is a perfect square.

# --hints--

`euler171()` should return 142989277.

```js
assert.strictEqual(euler171(), 142989277);
```

# --seed--

## --seed-contents--

```js
function euler171() {

  return true;
}

euler171();
```

# --solutions--

```js
// solution required
```