The conjecture states that no matter which positive integer you start with, the sequence will always eventually reach the number 1. Despite its simple formulation, the Collatz conjecture remains ...

The number of steps that it takes for the sequence to reach 1 is called the length of the sequence. I was immediately intrigued by the Hailstone Sequence and the Collatz conjecture because of the ease ...

The regularity is surprising. The latter part concludes that the Collatz conjecture is correct for "almost" all numbers probabilistically, based on the assumption that all numbers eventually have an ...

The Collatz conjecture was first posed in 1937. It’s simple enough that an elementary school student can make their way through it. Start by picking a number. Designate that number ‘n’.