Tracks
/
Delphi Pascal
Delphi Pascal
/
Exercises
/
Collatz Conjecture
Collatz Conjecture

Collatz Conjecture

Easy

Instructions

The Collatz Conjecture or 3x+1 problem can be summarized as follows:

Take any positive integer n. If n is even, divide n by 2 to get n / 2. If n is odd, multiply n by 3 and add 1 to get 3n + 1. Repeat the process indefinitely. The conjecture states that no matter which number you start with, you will always reach 1 eventually.

Given a number n, return the number of steps required to reach 1.

Examples

Starting with n = 12, the steps would be as follows:

  1. 12
  2. 6
  3. 3
  4. 10
  5. 5
  6. 16
  7. 8
  8. 4
  9. 2
  10. 1

Resulting in 9 steps. So for input n = 12, the return value would be 9.

Last updated 6 October 2021
Edit via GitHub The link opens in a new window or tab
Delphi Pascal Exercism

Ready to start Collatz Conjecture?

Sign up to Exercism to learn and master Delphi Pascal with 76 exercises, and real human mentoring, all for free.