The Collatz Conjecture Calculator

Explore the mesmerizing Collatz Conjecture (aka the 3n + 1 problem)—one of math's greatest unsolved problems. Enter any number and visualize its journey as it climbs, falls, and (supposedly) always reaches 1. 3n+1 Sequences

The 3n + 1 Sequence Calculator

About Collatz Conjecture

Collatz Conjecture Calculator is a JavaScript application that calculates reduced Collatz sequences and shows them on a graph. The Collatz sequence calculator also gathers some properties of these sequences such as the global maximum, the last local maximum reached by the Collatz sequence before it starts to monotonically decrease. It also shows the binary representations of some interesting numbers.

Collatz conjecture, also known as The Syracuse Problem, the 3n + 1 conjecture or the Hailstone sequence conjecture was first described by mathematician Lothar Collatz. This conjecture is strikingly simple to formulate and incredibly hard to prove or refute. It states the following: let n be a natural number greater than 1. If n is even then divide it by 2. If n is odd, then multiply it by 3 and add 1 to the product. Repeat this process, then the resulting number sequence always converges to cycle 4,2,1.