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curriculum/challenges/english/10-coding-interview-prep/rosetta-code/iterated-digits-squaring.md

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+---
+title: Iterated digits squaring
+id: 5a23c84252665b21eecc7ec1
+challengeType: 5
+forumTopicId: 302291
+---
+
+## Description
+<section id='description'>
+If you add the square of the digits of a Natural number (an integer bigger than zero), you always end with either 1 or 89:
+<pre>
+15 -> 26 -> 40 -> 16 -> 37 -> 58 -> 89
+7 -> 49 -> 97 -> 130 -> 10 -> 1
+</pre>
+</section>
+
+## Instructions
+<section id='instructions'>
+Write a function that takes a number as a parameter and returns 1 or 89 after performing the mentioned process.
+</section>
+
+## Tests
+<section id='tests'>
+
+```yml
+tests:
+  - text: <code>iteratedSquare</code> should be a function.
+    testString: assert(typeof iteratedSquare=='function');
+  - text: <code>iteratedSquare(4)</code> should return a number.
+    testString: assert(typeof iteratedSquare(4)=='number');
+  - text: <code>iteratedSquare(4)</code> should return <code>89</code>.
+    testString: assert.equal(iteratedSquare(4),89);
+  - text: <code>iteratedSquare(7)</code> should return <code>1</code>.
+    testString: assert.equal(iteratedSquare(7),1);
+  - text: <code>iteratedSquare(15)</code> should return <code>89</code>.
+    testString: assert.equal(iteratedSquare(15),89);
+  - text: <code>iteratedSquare(20)</code> should return <code>89</code>.
+    testString: assert.equal(iteratedSquare(20),89);
+  - text: <code>iteratedSquare(70)</code> should return <code>1</code>.
+    testString: assert.equal(iteratedSquare(70),1);
+  - text: <code>iteratedSquare(100)</code> should return <code>1</code>.
+    testString: assert.equal(iteratedSquare(100),1);
+
+```
+
+</section>
+
+## Challenge Seed
+<section id='challengeSeed'>
+
+<div id='js-seed'>
+
+```js
+function iteratedSquare(n) {
+
+}
+```
+
+</div>
+
+
+
+</section>
+
+## Solution
+<section id='solution'>
+
+
+```js
+function iteratedSquare(n) {
+	var total;
+	while (n != 89 && n != 1) {
+		total = 0;
+		while (n > 0) {
+			total += Math.pow(n % 10, 2);
+			n = Math.floor(n/10);
+		}
+		n = total;
+	}
+	return n;
+}
+
+```
+
+</section>