21 June 2015

142857 is an interesting number

  • 142857 × 2 = 285714
  • 142857 × 3 = 428571
  • 142857 × 4 = 571428
  • 142857 × 5 = 714285
  • 142857 × 6 = 857142
The pattern can also be visualized this way:

1|4|2|8|5|7|1|4|2|8|5|7|1|
 | |2|8|5|7|1|4| | | | | |
 | | | | | | |4|2|8|5|7|1|
 | | | |5|7|1|4|2|8| | | |
 | | | | |7|1|4|2|8|5| | |
 | | |8|5|7|1|4|2| | | | |

Discussed at Reddit.

3 comments:

  1. MargaretJune 22, 2015 at 9:07 AM

    I haven't a clue what this is all about. I guess that proves how un-mathematically oriented I am.

    ReplyDelete
  2. AnonymousJune 24, 2015 at 12:38 PM

    fibonacci's are interesting when you start looking at the difference between two of them, and the diffs between the diffs, etc.

    I-)

    ReplyDelete
  3. DubyaDJune 24, 2015 at 8:07 PM

    It's divisible by 9.

    You're welcome. :-)

    Multiples of 9 have all kinds of crazy features. Like all the digits that make up a multiple of nine add up to a multiple of 9. ex: 27, 45, 90, 2457... and the number listed above adds up to 27.

    ReplyDelete