omega {numbers} | R Documentation |
Sum of all exponents of prime factors in the prime decomposition.
omega(n) Omega(n)
n |
Positive integer. |
Compute the number of prime factors of n
resp. the sum of their
exponents in the prime decomposition.
(-1)^Omega(n)
is the Liouville function.
Natural number.
Works well up to 10^9
.
omega(2*3*5*7*11*13*17*19) #=> 8 Omega(2 * 3^2 * 5^3 * 7^4) #=> 10