9853
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Sum of Powers of Divisors
This Demonstration plots the values
, where
indicates the sum is taken over the divisors
of
,
ranges from 1 to
, and you control the continuous exponent
. When
,
gives the number of divisors of
. When
,
gives the sum of the divisors of
.
Contributed by:
Jon Perry
SNAPSHOTS
RELATED LINKS
Divisor Function
(
Wolfram
MathWorld
)
DivisorSigma
(
Wolfram
Mathematica
Documentation Center
)
PERMANENT CITATION
"
Sum of Powers of Divisors
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SumOfPowersOfDivisors/
Contributed by:
Jon Perry
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Powers Modulo m
Jon Perry
Hasse Diagrams of Integer Divisors
Jaime Rangel-Mondragon
Divisors of a Number
Stephen Wolfram
Gaussian Divisors of an Integer
Stephen Wolfram
Using Zeta Zeros to Tally Squarefree Divisors
Robert Baillie
Square Spiral for a Given Number of Divisors
Michael Schreiber and George Beck
Powers in Modular Arithmetic
George Beck
Coincidences in Powers of Integers
Stephen Wolfram
State Transition Diagrams for Modular Powers
Stephen Wolfram
Fractional Parts of Powers of Numbers
Michael Trott
Related Topics
Number Theory
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+