142857 - My Pet Number - Comments and Discussion

142857 - Number theory, classroom projects, exploration, and activities surrounding an unusual number with mysterious properties.
 
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142857 - My Pet Number - Comments and Discussion

Humphrey Nowlin says:
You said that you've found some larger numbers (ie, the one with so many digits it has every 4-digit combination in it) that do the same thing as your pet number 142857.

How in the WORLD do you go about getting those numbers?
 
 
zaphod says:
the special and unique feature that makes 142857 work this way is that it is the repeating portion of 1/7, and it has six (7 minus 1) digits.

so look for integers x such that 1/x repeats every (x - 1) digits.

one example is 1/19 = 0.052631578947368421...

2/19 = 0.105263157894736842...

and so on.
 
 
Humphrey Nowlin says:
I'm guessing it would be helpful if I was a software developer, huh?
 
 
Douglas Twitchell says:
In case you missed it, I've added a "142857 calculator" to my Online Playground.

Link: 142857 Calculator
 
 
Tharcide says:
Quote
the special and unique feature that makes 142857 work this way is that it is the repeating portion of 1/7, and it has six (7 minus 1) digits.

so look for integers x such that 1/x repeats every (x - 1) digits.

one example is 1/19 = 0.052631578947368421...

2/19 = 0.105263157894736842...

and so on.[/quote

Untrue.
Try 1/13

0.076923076923076923...

769230 overlaps with 153846 when doing the multiplication thing though. (compare 1/26)

 
 
albertodc says:
Talking about this whole numerology thing, check out this site:

http://www.yourluckyip.com

It seems they apply the "numerology system" to your computer's IP address and give you a numerology reading on it. I thought it was at least pretty interesting...
 
 
albertodc says:
Talking about this whole numerology thing, check out this site:

http://www.yourluckyip.com

It seems they apply the "numerology system" to your computer's IP address and give you a numerology reading on it. I thought it was at least pretty interesting...



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