Talk:Polydivisible number

Reliable sources / inline citations?
I noticed there are no citations for specific facts mentioned in this article -- for example, the claim of the exact number of all polydivisible numbers in existence, with no link to a proof that none larger exist or anything else substantial. The sources give a list of "all" polydivisible numbers (which is just a list of numbers, with no other text) and an article about the nine-digit problem. I attempted to find a better source on Google Scholar, but found no relevant results -- in fact almost no results at all for the term 'polydivisible number', indicating this is not even necessarily a standard mathematical term. I question therefore the reliability of this article and wonder if I should put flags on it indicating this -- but am going to double-check the relevant Wikipedia standards before doing so. (Whoops almost forgot my signature) Liger42 (talk) 20:08, 31 January 2014 (UTC)

(edit: I suppose it is "obvious" that every polydivisible number of length n>1 has as its start a polydivisible number of length n-1, indicating the number should decrease and eventually reach 0, but this is original research on my part, i.e. i just pulled it out of my head.) — Preceding unsigned comment added by Liger42 (talk • contribs) 20:11, 31 January 2014 (UTC)

Interesting numbers in different bases
With regards to 381654729 being the only solution in base 10 which uses every digit only once, I decided to generalise it to see what solutions exists in other bases.

E.g. in base 6 the only one polydivisible number which uses the numbers 1-5 is 14325_6..

Below are some more solutions

DC (talk) 10:39, 24 October 2016 (UTC)

See, there may be no solution for any base b > 14.

Besides, your list is not right: 123 is 510, which is not divisible by 2.