I would like to know if 142857 is the only Cyclic Number?

Question

142857 is a cyclic number - its digits always appear in the

same order but will rotate around when multiplied by any number from

1 to 6:

142857 x 1 = 142857

142857 x 2 = 285714

142857 x 3 = 428571

142857 x 4 = 571428

142857 x 5 = 714285

142857 x 6 = 857142

Pretty cool, huh? Now multiply 142857 by 7.

Answer 1

love it... lol. it amazes me how people find this out - geius ... im not a  genius so i dnt no ne more sorryl

Answer 2

http://en.wikipedia.org/wiki/Cyclic_numb...

142857x7= 9999999

Answer 3

if you check the reciprocals of the integers from 1 onwards, apart from the exact and trivial e.g 1/2, 1/4, 1/5, 1/10 etc

then for 1/7 there are 6 infinitely recurring numbers in the decimal expansion of the reciprocal of 7

1/11 is 0.0909090909.....  which has 2 recurring numbers in the decimal expansion

1/13 is  0.076923076923076923... with 6 recurring numbers

1/17 has 16 recurring numbers and is

0.05882352941176470588235294117647.......

and 1/19 is 0.052631578947368421052631578947368421.....

maybe you could check out more numbers in this way

incidentally

1/27 = 0.037037037...

and 1/37= 0.027027027....

and 27 x 37= 999

and 1/999= 0.001001001001......

also 1/9= 0.11111111....

and 1/11= 0.090909...

and 9 x 11 =99

and 1/99= 0.010101.....

taking 13 as an example, multiply the reciprocal of 13 by each of the numbers from 2 to 12 and see what set of numbers recur in the decimal expansion.

Answer 4

thats cool!!! there will be more due to probabilty ,it'll have some sort of rule to it . but i can tbe aresed working it out lol   good q tho.

Answer 5

No there are other cyclic numbers like:

588235294117647

52631578947368421

434782608695652173913

344827586206896551724137931

21276595744680851063829787234042553191...  

Answer 6

i dont think there arent much cylic numbers

nice trick though...

wow 999999

and now i love it...

Answer 7

Pretty good, especially when you multiply by 7.  

What do you get when you divide 1 by 7?.......Now there's a surprise!

Answer 8

Bilky A pretty much answered your question. Or should i say wikipedia? lols

Answer 9

Yes - unless you allow 0 as a leading number - which most people won't ;).