Merry Christmas and a Happy New Year!!
I made equations related with next year.
2007^6=4015148^3+855417^3+23314^3
If k=(Sigma(Sigma(2007)))^(1/2)/(GCD(2007,Sigma(Sigma(2007)))^(1/2) then
Sigma(k)=2*k
Yasutoshi
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