Find-the-natural-number-n-such-n-7-a-17-b-a-N-b-N-and-the-sum-of-all-its-divisors-1-and-n-included-is-2456-

Question Number 183998 by JDamian last updated on 01/Jan/23

Find the natural number n s u c h

n = 7^{a} \cdot 17^{b} a \in N, b \in N

and the sum of all its divisors (1 and

n included) is 2456 .

Commented by Rasheed.Sindhi last updated on 01/Jan/23

\begin{matrix} n = 2023 = 7^{1} \cdot 17^{2} \end{matrix}

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Answered by Rasheed.Sindhi last updated on 01/Jan/23

\begin{matrix} \underset{\underset{\underset{= 2456}{1 + 7 + 17 + 119 + 289 + 2023}}{S u m O f D i v i s o r s}}{n = 2023 = 7^{1} \cdot 17^{2}} \end{matrix}