Additive function: Difference between revisions

Revision as of 22:47, 11 July 2013

Revision as of 23:12, 11 July 2013

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::''a''₀(20,802,650,704,327,415) = 1240681

* The function Ω(''n''), defined as the total number of [[prime factor#Omega functions|prime factors]]s of ''n'', counting multiple factors multiple times, sometimes called the "Big Omega function" {{OEIS|A001222}}. For example;

::Ω(1) = 0, since 1 has no prime factors

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Example of arithmetic functions which are additive but not completely additive are:

* ω(''n''), defined as the total number of ''different'' [[prime factor#Omega functions|prime factors]]s of ''n'' {{OEIS|A001221}}. For example:

::ω(4) = 1