SOLUTION: If n = (p1 )^α1 .(p2)^α2.(p3)^α3 .(p4)^α4 .....(pr)^αr where p1 , p2,
p3 , ...., pr are distinct prime numbers then prove the following result:
d(n) = infinite product of
Algebra ->
Sequences-and-series
-> SOLUTION: If n = (p1 )^α1 .(p2)^α2.(p3)^α3 .(p4)^α4 .....(pr)^αr where p1 , p2,
p3 , ...., pr are distinct prime numbers then prove the following result:
d(n) = infinite product of
Log On
Question 1172317: If n = (p1 )^α1 .(p2)^α2.(p3)^α3 .(p4)^α4 .....(pr)^αr where p1 , p2,
p3 , ...., pr are distinct prime numbers then prove the following result:
d(n) = infinite product of (αi + 1) [Note: Here ^ means power] Answer by ikleyn(52784) (Show Source):
Had the post be written correctly, d(n) would be a finite product, and d(n) would be called (be referred)
as the number of divisors of the number n, including 1 and the number n itself.
