Chains of Amicable Numbers

nth number in the link

17

framed labels

Amicable pairs are integers

a

and

b

for which the sum of the proper divisors of

a

equals

b

and vice versa. This is a chain of amicable numbers

a

i

. They are not amicable pairwise; rather, the sum of the proper divisors of

a

i

equals

a

i+1

, where

a

29

=

a

1

=14316

. Such chains appear very rarely.