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Code Golf

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Required fields*

Required fields*

Collatz Conjecture (OEIS A006577)

This is the Collatz Conjecture (OEIS A006577):

  • Start with an integer n> 1.
  • Repeat the following steps:
    • If n is even, divide it by 2.
    • If n is odd, multiply it by 3 and add 1.

It is proven that for all positive integers up to 5 * 260, or about 5764000000000000000, n will eventually become 1.

Your task is to find out how many iterations it takes (of halving or tripling-plus-one) to reach 1.

Relevant xkcd :)

Rules:

  • Shortest code wins.
  • If a number < 2 is input, or a non-integer, or a non-number, output does not matter.

Test cases

2 -> 1
16 -> 4
5 -> 5
7 -> 16

Answer*

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