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Sep 9, 2022 at 13:37 comment added Gerry Myerson I'm guessing we're being misled by only looking at small numbers, which don't have many factors. If you go far enough, you may find something that overtakes $15$ (proper) divisors, and then something that overtakes that number, and so on, ad infinitum.
Sep 9, 2022 at 1:17 comment added Prester John Thanks. That is a nice analysis. I had noticed the prefix going up (to 70, for example).
Sep 9, 2022 at 0:53 history edited Qiaochu Yuan CC BY-SA 4.0
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Sep 9, 2022 at 0:45 history edited Qiaochu Yuan CC BY-SA 4.0
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Sep 9, 2022 at 0:36 history answered Qiaochu Yuan CC BY-SA 4.0