Friday, June 19, 2009

Digit Juggles that make you Giggle

Some of the strange revelations I have had and verified with my Mathematics Mentor, PI(who is PI? When the right time comes, I will let all know...!) are as follows:

  • 1089 x 9 = 9801. It is just the reverse of 1089.
  • 142857 - A Cyclic Number.
142857 × 1 = 142857
142857 × 2 = 285714
142857 × 3 = 428571
142857 × 4 = 571428
142857 × 5 = 714285
142857 × 6 = 857142

Being a 7 digit number, on multiplying by 7, it gives out an awesome number.
142857 × 7 = 999999

And now it gets strange, one of the digit splits.
142857 × 8 = 1142856------------7 got split into 1 & 6
142857 × 9 = 1285713------------4 got split into 1 & 3
142857 × 10 = nothing interesting
142857 × 11 = 1571427-----------8 got split into 1 & 7
142857 × 12 = 1714284-----------5 got split into 1 & 4
142857 × 13 = 1857141-----------2 got split into 1 & 1

Once again strange output. Well even at 7 it does the same weird output.
142857 × 14 = 1999998

For other multiples, please help yourself.

Another interesting fact about this number is it is omnipresent. Divide any number that is not a multiple of 7 or 10 and you always see it in the decimal part in recurring form. Don't believe me, try it.
By the way, I got this from my acquaintance, Piyu

  • Another one like 1089. 21978 x 4 = 87921
  • Forty, is the only number which has the letters arranged in alphabetical order
  • Square 13 = 169. Reverse it = 961, it is the square of 31
  • (1 x 9) + 2 = 11. (12 x 9) + 3 = 111. (123 x 9) + 4 = 1111. (1234 x 9) + 5 = 11111 and so on and so forth
  • 111,111,111 x 111,111,111 = 12,345,678,987,654,321. Funny isn't it?
  • 7641 - 1467 = 6174

1 comment:

Anonymous said...

Very Intriguing really. I did not have so much idea about Digits and hidden truth behind them, especially the magical number 142857, which shows at mantissa after division of any number by 7. Good! Keep up the good work!