# Amicable Triplet/Examples/1980-2016-2556

## Example of Amicable Triplet

$\left({1980, 2016, 2556}\right)$ form an amicable triplet.

## Proof

We have

 $\displaystyle \sigma \left({1980}\right)$ $=$ $\displaystyle 6552$ $\sigma$ of $1980$ $\displaystyle \sigma \left({2016}\right)$ $=$ $\displaystyle 6552$ $\sigma$ of $2016$ $\displaystyle \sigma \left({2556}\right)$ $=$ $\displaystyle 6552$ $\sigma$ of $2556$ $\displaystyle$ $=$ $\displaystyle 1980 + 2016 + 2556$

Hence the result, by definition of amicable triplet.

$\blacksquare$