Is there a limit to the sum of non-trivial factors of N divided by N

Asked Jul 03 '17 at 14:19

Active Jul 22 '17 at 22:07

Viewed 80 times

Is there an upper limit on the answer?

edited Jul 22 '17 at 22:07

Trevor Gunn

asked Jul 03 '17 at 14:19

Troy W

1

Does $\prod_p\left(1+\frac1p\right)$ converge? – Angina Seng Jul 03 '17 at 14:20
@LordSharktheUnknown see http://math.stackexchange.com/questions/349588/how-would-i-find-a-number-where-sum-d-mid-nd-100n/349783#349783 The sequence of primorials works for this. We get smaller numbers for a fixed large ratio with the Colossally Abundant numbers, at the price of intricate programs to get specific numbers. I found an explicit CA number with ratio just over 30. – Will Jagy Jul 03 '17 at 18:42
@LordSharktheUnknown why shark? – Will Jagy Jul 03 '17 at 18:43
If you repost your question "Wondering if this function exists, or can exist", I will post an answer. Sorry to hijack this question to post a message, but there's no other way. – MPW Jul 21 '17 at 18:17
Ok, I've reposted the question, thanks for your input. – Troy W Jul 21 '17 at 19:01

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