P2
Math 2984 - Fall 2017
Intro to Mathematical Problem Solving


Project Task #2: Write a MATLAB function to compute "sigma(n)", the sum of the divisors of the integer n.


COMMENT: For any integer n, sigma(n) is defined to be the sum of all the numbers i that are divisors of n, including 1 and n.

For instance, the divisors of 9 are 1, 3 and 9, and so sigma(9) is 13.

Although there are shortcuts to computing sigma(n), a simple procedure to compute sigma(n) is simply to consider each value i between 1 and n, and add it to the total if it is a divisor of n.


INSTRUCTIONS:

        Since we want to write a function, the filename must be "sigma.m".

        Write the appropriate function header.

          Initialize your total to zero.

          Loop
            If I is a divisor of N, add it to the total
          end

          return
        end
      


CHECK: Here is a table of the value of sigma(n) for N = 1 through 10.

        1    1
        2    3
        3    4
        4    7
        5    6
        6   12
        7    8
        8   15
        9   13
       10   18
      


SUBMIT: Your file should be called "sigma.m", and begin with:

        % sigma.m
        % YOUR NAME
        % This script (describe what it does)