N

```
/*
* Author: Akshay Dubey (https://github.com/itsAkshayDubey)
* Liouville Function: https://en.wikipedia.org/wiki/Liouville_function
* For any positive integer n, define λ(n) as the sum of the primitive nth roots of unity.
* It has values in {−1, 1} depending on the factorization of n into prime factors:
* λ(n) = +1 if n positive integer with an even number of prime factors.
* λ(n) = −1 if n positive integer with an odd number of prime factors.
*/
/**
* @function liouvilleFunction
* @description -> This method returns λ(n) of given number n
* returns 1 when number has even number of prime factors
* returns -1 when number has odd number of prime factors
* @param {Integer} number
* @returns {Integer} 1|-1
*/
import { PrimeFactors } from './PrimeFactors.js'
export const liouvilleFunction = (number) => {
if (number <= 0) {
throw new Error('Number must be greater than zero.')
}
return PrimeFactors(number).length % 2 === 0 ? 1 : -1
}
```