- #1
AlexHall
- 7
- 0
Hi
I have the harmonic mean H(n) of the divisors of a positive integer n. I need to show that if n is perfect number, then H(n) must be an integer.
1/H(n)={1/τ(n)}Σ(1/d)
I have found that
H(n)=nτ(n)/σ(n)
H(n)=τ(n)/2
How can I conclude that this is an integer?
Thank you
I have the harmonic mean H(n) of the divisors of a positive integer n. I need to show that if n is perfect number, then H(n) must be an integer.
1/H(n)={1/τ(n)}Σ(1/d)
I have found that
H(n)=nτ(n)/σ(n)
H(n)=τ(n)/2
How can I conclude that this is an integer?
Thank you