Assignment:
Statement of Problem: A perfect number is an integer that equals the sum of its proper positive factors. For example, the proper positive factors of 6 are 1, 2, and 3. Since 1 + 2 + 3 = 6, we refer to 6 as a perfect number. Similarly, 28 = 1 + 2 + 4 + 7 + 14, so it is also a perfect number. I intend to show that the sum of the reciprocals of the positive factors of a perfect number is equal to 2. Notice that for our two examples: 1 + 1/2 + 1/3 + 1/6 = 2 and 1 + 1/2 + 1/4 + 1/7 + 1/14 + 1/28 = 2.
Provide complete and step by step solution for the question and show calculations and use formulas.