PrimeOmega

The number of prime factors of n, counted with multiplicity.

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PrimeOmega(n)number of prime factors of , counted with multiplicity.

Domain: Number theory

Details

Counts every prime factor with multiplicity -- , unlike PrimeNu's 1.
Completely additive: for all , not just coprime ones.
: 1 has no prime factors.
exactly when is squarefree; otherwise .

Examples

See also: PrimeNu, FactorInteger