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Answer by Sarvesh Ravichandran Iyer for Finding the sum of the reciprocals of...

Your answer is correct, but there's a much simpler way as the comments show.The key idea is that if $\{d_1,\ldots,d_k\}$ is the set of divisors of $n$ then $\{\frac n{d_1},\ldots,\frac n{d_k}\} =...

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Finding the sum of the reciprocals of the positive divisors of a number

Let $d_1, d_2, \dots , d_k$ be all the positive factors of a positive integer $n$ including $1$ and $n$. If $d_1+d_2+ \dots+d_k=72$, then find the value of...

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