Collatz Conjecture

Also known as the Ulam Conjecture, Kakutani Problem, Syracuse Problem or simply 3x+1

Pick a positive number x:

The x sequence

The log(x) sequence

The rules →

Take any positive integer number. If the number is odd, multiply it by 3 and add 1. If the number is even, divide by 2. Repeat with every new number to get a sequence of numbers.

The conjecture →

EVERY positive integer, if you apply these rules, will end up in a 4 → 2 → 1 loop. This is commonly called the Collatz Conjecture after German mathematician Luther Collatz.