matlab A perfect number is a positive integer that is expual to the sum of its factors other than itself. The finetors of $6$ are $1,2,3$ and $6$;$6=1+2+3,$ making $6$ the first perfect number. The second perfect number is $28=1+2+4+7+14.$ Write a function called perfect$\_$test that takes in one imput, a positive integer $n,$ and produces two outputs: 'The first is the sum of all factors of $n($other than itself$),$ and the second is a logical value representing whether $n$ is a perfect number. For example, perfect$\_$test $(6)$ should return the two outputs $6$ and true.