The number of prime factors of a given number, counting their multiplicity, is given by the upper case prime omega function, i.e., Ω. For example, Ω(12) = 3. Note that Ω(n) is synonymous with the sum of the exponents in the canonical prime factorization of n.

(The lower-case omega function gives the number of prime factors, IGNORING multiplicity.)

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[Mathematics]

[Number Theory]

[counting functions]

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