Polydivisible number: Difference between revisions

Revision as of 13:04, 24 October 2020

Revision as of 13:12, 24 October 2020

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===Maximum polydivisible number===

AllThe numbersfollowing aretable representedlists inmaximum basepolydivisible <math>numbers for some bases ''b</math>'', usingwhere {{math|A−Z to}} represent digit values 10 to 35.

{| class="wikitable"

|-

! Base <math>b</math>

! Maximum polydivisible number ({{OEIS2C|A109032}})

! Number of base-''b'' digits ({{OEIS2C|A109783}})

|-

| [[base 2|2]] || {{math|10₂}} || 2

|-

| [[base 3|3]] || {{math|20 0220₃}} || 6

|-

| [[base 4|4]] || {{math|222 0301₄}} || 7

|-

| [[base 5|5]] || {{math|40220 42200₅}} || 10

|-

| [[base 10|10]] || {{math|36085 28850 36840 07860 36725}}<ref name="Parker" /><ref name="Wells">{{Citation|last=Wells|first=David|title=The Penguin Dictionary of Curious and Interesting Numbers|page=197|publisher=Penguin Books|year=1986|isbn=9780140261493|via=Google Books|url=https://books.google.com/books?id=kQRPkTkk_VIC&pg=PA197}}</ref><ref name="Lines">{{Citation|last=Lines|first=Malcolm|title=A Number for your Thoughts|chapter=How Do These Series End?|page=90|publisher=Taylor and Francis Group|year=1986|isbn=9780852744956|chapter-url=https://books.google.com/books?id=Am9og6q_ny4C&pg=PA90}}</ref> || 25<ref name="Parker" /><ref name="Wells"/><ref name="Lines" />

|-

| [[base 12|12]] || {{math|6068 903468 50BA68 00B036 206464₁₂}} || 28

|-

|}