Amicable Numbers
First pair of amicable numbers is (220, 284) because: The sum of the proper divisors of 220 = 1+2+4+5+10+11+20+22+44+55+110 = 284
The sum of the proper divisors of 284 = 1+2+4+71+142 = 220
Now have a look at this relationship to 114 :)
220 = C172 = AC114
284 = C222 = AC150
150 = C114 = AC73
where C# means the #th composite
and AC# means the #th additive composite [composite and its digit sum is also composite]
Alhamdu liAllah infinitely ...
Ali