Collatz Sequence Calculator
Trace a Collatz sequence from any positive safe integer.
How the collatz sequence calculator works
The Collatz process uses an intentionally simple rule: halve an even integer, but multiply an odd integer by three and add one. Repeating the rule creates paths that can rise sharply before falling. This calculator records every term until one, counts the transitions, and tracks the highest value. The still-unproved conjecture says every positive integer eventually reaches the familiar 4, 2, 1 loop.
Starting with the default 6 produces 6, 3, 10, 5, 16, 8, 4, 2, 1. The verified path takes 8 steps and reaches a peak of 16. Counting steps means counting arrows between terms, so the displayed sequence has 9 terms but only 8 operations. That distinction prevents a common off-by-one result in Collatz tables.
Reading collatz sequence calculator results privately
A generated sequence is evidence for one starting value, not a proof of the Collatz conjecture. The page stops after 10,000 steps and rejects an intermediate value that exceeds safe-integer precision. Large starts can have unexpectedly high peaks, so the safe-integer guard matters even when the original input itself looks modest. Only positive whole numbers are valid. This collatz sequence calculator calculation runs entirely in your browser, so the numbers you enter never leave your device.
Frequently Asked Questions
Why are there fewer steps than displayed terms?
The starting value is a term but not a step. Each transition to the next value counts as one step.
Does reaching one prove the Collatz conjecture?
No. It verifies the sequence only for the chosen starting integer. The claim for every positive integer remains unproved.
Is the collatz sequence calculator private?
Yes. Its inputs and results stay in your browser. Bushe.co does not upload or store the values used in this calculation.
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