The discussion centers on proving that the sum of the reciprocals of all divisors of a perfect number equals 2, utilizing Euclid's formula for perfect numbers. The approach involves listing the divisors of a perfect number \( n \) and recognizing that the sum of these divisors is \( 2n \). By pairing each divisor \( d_i \) with its corresponding divisor \( d_{k-i+1} \), the relationship \( \frac{1}{d_i} + \frac{1}{d_{k-i+1}} = \frac{2}{n} \) is established, leading to the conclusion that the total sum of the reciprocals is indeed 2.
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