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Old 2020-09-29, 09:26   #1
enzocreti
 
Mar 2018

10000011112 Posts
Default sigma(n)=x*(x+1)^3

let be sigma(n) the sum of the divisors of n




something is known about numbers n such that


sigma(n)=x*(x+1)^3 with x positive integer?




for example n=69660, sigma(69660)=21*(22^3)




are there infinitely many examples?
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