Thursday, June 18, 2009

142857 is an Interesting Number

A couple of days ago a colleague sent me this interesting number, 142857, via email. I performed a Google search on the number and I was surprised to see so many returns - 190,000. It even has its own wiki page. For additional information, here is the wiki page for this cyclic number - 142857.

Below is the email.

Subject: Interesting Numbers

Roy,

I want to let you know a weird number which is 142857.

Why?

142857 X 1 = 142857
142857 X 2 = 285714
142857 X 3 = 428571
142857 X 4 = 571428
142857 X 5 = 714285
142857 X 6 = 857142

See, the answers show all same numbers with different position.

142857 X 7 = 999999

142 + 857 = 999
14 + 28 + 57 = 99

142857 X 142857 = 20408122449
20408 + 122449 = 142857

Interesting, huh?

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8 comments:

bogdan said...

Really nice numbers. But maths have fascinating things if you search for them.

esofthub said...

You're right bogdan, math is very fascinating and pure

kemitche said...

1/7 = 0.142857 (repeating)
Which "explains" some of the interesting facets of that number. It's still fascinating that 1/7 would be so cyclical, though.

Chris said...

Cool! interesting stuff!

vdsAdmin said...

WOW.. ! very interesting ! this is a magic number !)
Thanks..

fan of subscribemonkey said...

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http://www.youtube.com/subscribemonkey

pp said...

i was going through divisions of 360 and got curious about 360/7=51.(428571)

since dividing 360 by any other number from 1 to 10 besides 7, i started wondering if this could be related to a "higher 'dimensional' oddity"

since string theory uses 10+16 dimensions for ((3+1)+6)+16 i ran a few quick caluclations using base-16 instead of base-10, and lo and behold:

360(DEC)=168(HEX)
168/7=33

22(DEC)=16(HEX)
16/7=3

probably just us humans picking the "wrong" base (10) to describe a reality which is of 10+16=26 dimension

360(DEC)=DM(base-26)
DM/7=1P

pp said...

disregard my comment, my calculator lied to me when it stated it could to decimals in any base *sigh*