Collatz Conjecture Analyzer
Analyze Collatz sequences (3n+1 problem) with detailed statistics and visualization
About this calculator
The Collatz Conjecture Analyzer explores one of mathematics' most famous unsolved problems by calculating and visualizing the 3n+1 sequence for any starting number. This calculator shows how numbers follow the Collatz rule (multiply odd numbers by 3 and add 1, divide even numbers by 2) until reaching 1. It provides detailed statistics including sequence length, maximum value reached, and step-by-step progression, making this fascinating mathematical mystery accessible to students, researchers, and math enthusiasts.
How to use
Enter any positive integer as your starting number and click calculate. The analyzer will compute the complete Collatz sequence, showing each step of the process. View detailed statistics including total steps, highest number reached, and sequence visualization to understand the behavior of your chosen number.
Frequently asked questions
What is the Collatz Conjecture?
An unsolved mathematical problem stating that every positive integer eventually reaches 1 when following the 3n+1 rule repeatedly.
Why do some numbers take longer sequences?
Different starting numbers create varying sequence lengths and peak values, with no predictable pattern discovered yet.
Has the conjecture been proven?
No, despite verification for extremely large numbers, no mathematical proof exists that all numbers eventually reach 1.