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
If you like GeeksforGeeks and would like to contribute, you can also write an article and mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
- Program to print Collatz Sequence
- GFact 22 | (2^x + 1 and Prime)
- GFact 23 | (Brocard’s problem)
- Program to implement Collatz Conjecture
- Sum of the sequence 2, 22, 222, .........
- k-th number in the Odd-Even sequence
- Golomb sequence
- Sylvester's sequence
- Increasing sequence with given GCD
- Gould's Sequence
- Connell Sequence
- Aronson's Sequence
- Alcuin's Sequence
- Gijswijt's Sequence
- Farey Sequence