Problem 53125. Easy Sequences 54: Product of Products of Proper Divisors

Created by Ramon Villamangca
Appears in Sequences and Series VI

Difficulty:Rate

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A divisor of a number that is less than the number is called a "proper divisor". 
For a given positive integer n, we are asked to evaluate the following summation:
             
This is equivalent to finding the product of the products of proper divisors of all integers from 2 to n.
For example for , we have:
                            
Please present your output modulo .

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Last Solution submitted on Aug 20, 2023

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GeeTwo on 17 Aug 2023

Really pretty simple, once you figure out which way to run the problem.

GeeTwo on 19 Aug 2023

It's been two days, but my solution isn't showing up. It is size 37, but it is a real solution, no cheats apart from using an implicit ans to save four points, and an exploit of conversion from logical to numeric yielding 0 or 1. Any clues as to why it isn't showing up?

Christian Schröder on 20 Aug 2023

@GeeTwo I've had this happen once as well, a week or two ago. Some problem with the Cody servers, perhaps; I ended up resubmitting my solution, and the second one showed up.

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Problem 53125. Easy Sequences 54: Product of Products of Proper Divisors

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Problem 53125. Easy Sequences 54: Product of Products of Proper Divisors

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Last 200 Solutions

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