3n+1Collatz
MathematicsOverview
Interactive Collatz tool for mathematics exploration
🚀 Intermediate
Collatz Sequence Explorer
Sequence Heatmap
Sequence Information
Current Step
1 / 112
Current Value
27
Starting Number
27
Total Steps
112
About the Collatz Conjecture
The Collatz Conjecture is one of the most famous unsolved problems in mathematics. The problem is simple to state: take any positive integer n. If n is even, divide it by 2. If n is odd, multiply it by 3 and add 1. Repeat the process. The conjecture states that no matter what number you start with, you will always reach 1.
Rules
- If n is even, the next term is n/2
- If n is odd, the next term is 3n+1
- Continue until reaching 1
Historical Context
First proposed by German mathematician Lothar Collatz in 1937, this problem remains unsolved despite being deceptively simple to state. It has been verified for all starting values up to 2^68, but no general proof exists.