Amicable numbers

Two numbers are said to be amicable when each one is the sum of the divisors of the other.
For instance 220 and 284
Sum of divisors of 220=2²×5×11 is 1+2+4+5+10+11+20+22+44+55+110=284
Sum of divisors of 284=4×71 is 1+2+4+71+142=220

Other related problems and relations about divisors :
perfect numbers, multiperfect numbrs, aliquot sequence...

 

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