My name is Two Twenty.
I am in search of my friend.
Find the sum of my proper divisors to bring my journey to an end.
What is my friend's name?
To find the sum of proper divisors, you first need to determine the factors of the number. In your case, Two Twenty, or 220, you will find that the factors are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110. Proper divisors are all the factors excluding the number itself.
To calculate the sum of the proper divisors, you add up all the proper divisors: 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110 = 284.
Now, to find your friend's name, we need to find a number whose sum of proper divisors is 220. You can do this by checking each number one by one, finding the sum of their proper divisors until you reach 220. For example, you can start with 1, then 2, then 3, and continue until you find a number whose sum equals 220.
However, I regret to inform you that there is no number whose sum of proper divisors is exactly 220. Therefore, it seems that your friend's name cannot be determined solely based on this information.