Comments on: Cyclic Number

By: kartik maurya

kartik maurya — Thu, 05 May 2011 10:24:31 +0000

the next number is 0588235294117647 which on the 16th multiplication will give 9999999999999999

By: REX JOSEPH

REX JOSEPH — Sat, 05 Mar 2011 12:23:10 +0000

OBVIOUSLY 142857
THIS IS HOW I GUESSED THE ANSWER;
ACCORDING TO THE QUESTION WHEN THE NUMBER IS ADDED AFTER 6 TIMES THE ANSWER IS 999999;IF THE NUMBER WERE ADDED IN DECIMAL THE ANSWER WOULD BE 0.999999 APPROXIMATELY 1
THERE FORE USING THE 1 ST CONCLUSION I AND 1/7*7=1
1/7*1000000 IS THE ANSWER;
WHICH IS 142857

By: REX JOSEPH

REX JOSEPH — Sat, 05 Mar 2011 12:17:26 +0000

OBVIOUSLY THE ANSWER IS 142857
THIS IS HOW I GUESSED IT;
ACCORDING TO THE QUESTION AFTER THE 6 TH ADDITION THE NUMBER WE GET IS 999999;
IF DIVIDED BY 100000 WE GET O.999999 APPROXIMATELY 1
THEREFORE 1/7*7=1
CORRELATING IT WITH THE 1ST CONCLUSION WE GET THE NUMBER TO BE 1/7*1000000=142857

By: How to express fractions as decimals or percentage

How to express fractions as decimals or percentage — Fri, 04 Mar 2011 08:54:18 +0000

[...] One-seventh is an interesting number. Read the comments on Cyclic Numbers [...]

By: athira

athira — Mon, 29 Nov 2010 14:54:45 +0000

thank you smilu

By: athira

athira — Mon, 29 Nov 2010 14:53:25 +0000

thanks for this nice explanation. try to add more another examples for cyclic numbers

By: vishal palapure

vishal palapure — Tue, 14 Sep 2010 07:21:31 +0000

how to get that number..?

By: Amazing Symmetric Numers

Amazing Symmetric Numers — Tue, 07 Sep 2010 12:58:42 +0000

[...] one of my earlier post named cyclic number you will find similar very interesting of numbers. Pay attention to the comments over [...]

By: Vineet Patawari

Vineet Patawari — Wed, 25 Aug 2010 10:55:31 +0000

Very nicely explained. Appreciate your knowledge and observation. Keep commenting!!

By: SmiluThomas

SmiluThomas — Tue, 24 Aug 2010 13:49:44 +0000

Take the number 142857 and multiply it by any number from 2 to 6. The result always has the same digits in the same order, if we say the first digit comes after the last.

For instance, we have 142857 * 2 = 285714. Note that in this number, just like in 142857, the digit 1 is followed by 4, which is followed by 2, which is followed by 8, which is followed by 5, which is followed by 7, which is followed again by 1. Such an arrangement of digits is called a cyclic permutation. For this reason, the number 142857 is called a cyclic number.

The other products, with the same property, are
3 * 142857 = 428571,
4 * 142857 = 571428,
5 * 142857 = 714285, and
6 * 142857 = 857142.

What about 7 * 142857? If you perform this multiplication, you’ll get another surprise, namely 142857 * 7 = 999999!