142857 is a cyclic number…
Multiply the number by any digit in 1 to 6. The result will be a number
having same digits as 142857 in the same order just rotated..
142857 * 1 = 142857
142857 * 2 = 285714
142857 * 3 = 428571
142857 * 4 = 571428
142857 * 5 = 714285
142857 * 6 = 857142
Re: something iteresting
nice. Never knew about cyclic numbers. Any others? and more importantly any special uses for them.
Re: something iteresting
Yup these are verry interesting numbers:
It has to an integer .. so any integer X when multiplied with any other integer between 1,2,3... ,X-1 produces the same number with digits shifted around.
another interesting property is that when the integer is multiplied by its generator then the result is astonishing :)
try it yoursefl
142857 * 1 = 142857
142857 * 2 = 285714
142857 * 3 = 428571
142857 * 4 = 571428
142857 * 5 = 714285
142857 * 6 = 857142
142857 * 7 = 999999 :) (7 is the generator here)
its a very fun magic trick :D
Re: something iteresting
seems to be iteresting theory… can you tell me what exactly it is called
Re: something iteresting
I just now checked at winkipedia … to find more about the cyclic numbers click on the link below