Amicable triple
An amicable triple is a set of three different numbers so related that the restricted sum of the divisors of each is equal to the sum of other two numbers.
In another equivalent characterization, an amicable triples is a set of three different numbers so related that the sum of the divisors of each is equal to the sum of the three numbers.
So a triple of natural numbers is called amicable if s = b + c, s = a + c and s = a + b, or equivalently if σ = σ = σ = a + b + c. Here σ is the sum of all positive divisors, and s = σ - n is the aliquot sum.
