---
id: 5900f3ab1000cf542c50febe
challengeType: 5
title: 'Problem 63: Powerful digit counts'
forumTopicId: 302175
---

## Description
<section id='description'>

The 5-digit number, 16807 = 7<sup>5</sup>, is also a fifth power. Similarly, the 9-digit number, 134217728 = 8<sup>9</sup>, is a ninth power.

How many <var>n</var>-digit positive integers exist which are also an <var>n</var>th power?

</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>powerfulDigitCounts()</code> should return a number.
    testString: assert(typeof powerfulDigitCounts() === 'number');
  - text: <code>powerfulDigitCounts()</code> should return 49.
    testString: assert.strictEqual(powerfulDigitCounts(), 49);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function powerfulDigitCounts() {

  return true;
}

powerfulDigitCounts();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>