▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Map
▾ Operation
▾ N-operation
▾ Binary operation
▾ Enclosed binary operation
▾ Groupoid
▾ Ringoid
▾ Semiring
▾ Ring
▾ Factor
▾ Divisor
▾ Two-sided divisor
▾ Prime element
▾ Set of prime elements
▾ Prime factorisation
▾ Prime integer factorisation
▾ Prime integer power factorisation
Prime factor counting function
Formulation 0
The prime factor counting function is the D5406: Positive integer function \begin{equation} \{ 2, 3, 4, \ldots \} \to \{ 1, 2, 3, \ldots \}, \quad \prod_{n = 1}^N p_n^{a_n} \mapsto \sum_{n = 1}^N a_n \end{equation}
Child definitions
» D1579: Distinct prime factor counting function