How perfect are the reciprocals of the factors??

If \(n\) is a perfect number and \(d_1,d_2,....,d_k\) denote all the divisors of \(n\) including \(n\) itself,find the value of \[\frac{1}{d_1} + \frac{1}{d_2} + ........... + \frac{1}{d_k}.\]

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