27 Aug 2013

Amicable Numbers: Lower Secondary Mathematics Competition Question

The sum of the proper divisors of a positive integer n, spd(n), is the sum of the factors that includes 1 but excludes n itself.

A pair of numbers, m and n, is said to be amicable if spd(n)=m and spd(m)=n. The smallest such pair of numbers is 220 and 284.

Which of the following numbers form another pair of amicable numbers?

1174, 1184, 1210, 2394, 2924.

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