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(Q104155936)
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number of prime divisors
counting with multiplicity
Omega-function
prime divisors number
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Statements
instance of
completely additive function
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prime omega function
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defining formula
Ω
(
n
)
=
Ω
(
p
1
α
1
p
2
α
2
⋯
p
k
α
k
)
=
∑
k
α
k
{\displaystyle \Omega (n)=\Omega (p_{1}^{\alpha _{1}}p_{2}^{\alpha _{2}}\cdots p_{k}^{\alpha _{k}})=\sum _{k}\alpha _{k}}
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in defining formula
Ω
(
n
)
{\displaystyle \Omega (n)}
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calculated from
prime factor
in defining formula
p
i
{\displaystyle p_{i}}
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natural number
in defining formula
n
{\displaystyle n}
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greater than
number of distinct prime divisors
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less than
number of divisors
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maintained by WikiProject
WikiProject Mathematics
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is a number of
prime factor
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different from
number of divisors
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Identifiers
OEIS ID
A001222
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