freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-221-alexandrian-integers.english.md

id	challengeType	title
5900f4491000cf542c50ff5c	5	Problem 221: Alexandrian Integers

Description

We shall call a positive integer A an "Alexandrian integer", if there exist integers p, q, r such that: A = p · q · r and 1/A = 1/p + 1/q + 1/r

For example, 630 is an Alexandrian integer (p = 5, q = −7, r = −18). In fact, 630 is the 6th Alexandrian integer, the first 6 Alexandrian integers being: 6, 42, 120, 156, 420 and 630.

Find the 150000th Alexandrian integer.

Instructions

Tests

tests:
  - text: <code>euler221()</code> should return 1884161251122450.
    testString: assert.strictEqual(euler221(), 1884161251122450);

Challenge Seed

function euler221() {
  // Good luck!
  return true;
}

euler221();

Solution

// solution required