A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2n. What is the sum of the reciprocals of all the positive factors of the perfect number 28 ?
~$1 \over 4$~
~$56 \over 27$~
2
3
4
怎么感觉第一句话没什么用啊?
28的factors有1,28,2,14,4,7
reciprocal:1,1/28,1/2,1/14,1/4,1/7
相加以上倒数即为2
1/28∗(28+14+7+4+2+1)
= 1/28 ∗(2∗28) =2
= 2