Arithmetic & Number Theory
Collatz Steps
Steps to reach 1 under the Collatz map.
Formula
Formula
n → n2 (even) or 3n+1 (odd)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| n | starting integer | integer (ℤ) | — | input |
| steps | iterations to reach 1 | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenn = 27
Result111
Example 2
Givenn = 6
Result8