Mathlean · Online math workspace
Möbius function calculator
Evaluate the Möbius function from the prime-factor structure of a positive integer.
How to use this calculator
Replace 30 in MoebiusMu. Three distinct prime factors give −1; a repeated prime factor gives zero.
Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.
Try it here
Interactive tools require JavaScript. You can read the guide and example without it.
What to know
Use positive integers. This arithmetic function is not a Möbius transformation of the complex plane.
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