USING MATLAB

Perfect Numbers A perfect number is a number that is equal to the sum of its proper divisors. For example, 6 is perfect because 6 1+2 +3. The number 12 is not perfect because 1+2+3+4+6- 16 > 12. The number 10 is not perfect because 1 +2+5>hw2 H 2 ow many perfect numbers do you want? 6 is a perfect number 28 is a perfect number Use your program to find the first four perfect numbers. The largest should be less than 10000, so if you want to have a safeguard you could tell your program to automatically halt if it ever reachesn10000 Warning! Some people may have divisors or some similar function in their Matlab toolkit. While convenient, this function is rather slow. You would do better to find the sum of the divisors yourself by using a for loop, like so: sumOfDivisors 0; for i- 1: (n/2) % do something here en The code should not take more than a few seconds, but you can also get it to run faster by making the loop run from 1 to n and taking advantage of the fact that if d is a divisor of n then so is n/d. But be careful not to double-count Vn when is a square number if you do this