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G-Fact 21 | Collatz Sequence
  • Difficulty Level : Easy
  • Last Updated : 20 Oct, 2016

Starting with any positive integer N, we define the Collatz sequence corresponding to N as the numbers formed by the following operations:

N → N/2 ( if N is even)
N → 3N + 1 (if N is odd)

i.e. If N is even, divide it by 2 to get N/2. 
If N is odd, multiply it by 3 and add 1 to obtain 3N + 1.

It is conjectured but not yet proven that no matter which positive integer we start with; we always end up with 1.

For example, 10 → 5 → 16 → 8 → 4 → 2 → 1

A Coding Practice Question on Collatz Sequence

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