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WOLFRAM|DEMONSTRATIONS PROJECT

Sum of Powers of Divisors

​
exponent k
1
range R
50
This Demonstration plots the values
σ
k
(n)=
∑
d|n
k
d
, where
d|n
indicates the sum is taken over the divisors
d
of
n
,
n
ranges from 1 to
R
, and you control the continuous exponent
k
. When
k=0
,
σ
0
(n)=τ(n)
gives the number of divisors of
n
. When
k=1
,
σ
1
(n)=σ(n)
gives the sum of the divisors of
n
.
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