Polydivisible number: Difference between revisions

Revision as of 07:37, 31 August 2020

Revision as of 05:44, 12 October 2020

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# The number formed by its first three digits ''abc'' is a multiple of 3.

# The number formed by its first four digits ''abcd'' is a multiple of 4.

# etc.<ref name="moloy_de">{{Citation|url=https://www.researchgate.net/profile/Moloy_De/publication/317116429_Second_collection_of_my_hundred_posts_in_the_Facebook_Group_Math's_Believe_It_Or_Not/links/5926e024aca27295a80029f9/Second-collection-of-my-hundred-posts-in-the-Facebook-Group-Maths-Believe-It-Or-Not.pdf317116429|title=MATH’SMATH'S BELIEVE IT OR NOT|last=De|first=Moloy}}</ref>

==Definition==

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| [[base 5|5]] || 40220 42200 || 10

|-

| [[base 10|10]] || 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#v=onepage&q&f=false}}</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#v=onepage&q&f=false}}</ref> || 25<ref name="Parker" /><ref name="Wells"/><ref name="Lines" />

|-

| [[base 12|12]] || 6068 903468 50BA68 00B036 206464 || 28

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==Related problems==

Polydivisible numbers represent a generalization of the following well-known<ref name="Parker">{{Citation|last=Parker|first=Matt|title=Things to Make and Do in the Fourth Dimension|chapter=Can you digit?|pages=7-87–8|year=2014|publisher=Particular Books|isbn=9780374275655|via=Google Books|chapter-url=https://books.google.com/books?id=veIxBQAAQBAJ&pg=PA8#v=onepage&q&f=false}}</ref> problem in [[recreational mathematics]] :

: ''Arrange the digits 1 to 9 in order so that the first two digits form a multiple of 2, the first three digits form a multiple of 3, the first four digits form a multiple of 4 etc. and finally the entire number is a multiple of 9.''