To you math people!

Discussion in 'Off Topic Chat' started by Mitica100, Apr 24, 2006.

  1. Mitica100

    Mitica100 Moderator Staff Member Supporting Member

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    Here is a gem:

    Take a four digit number (this works best if the digits are all different) such as 3967.

    Now, rearrange the digits from the highest to the lowest...

    9763

    Subtract from this the reverse:

    9763-
    3679
    -------
    5084

    Repeat the same operation, rearranging the digits from the highest to the lowest and subtract the reverse from it:

    8540-
    0458
    -------
    7082

    Do this as many times as you can, the end result will invariably be 6174. When you get to this number and do the same operation it gets you the same number, 6174:

    7641-
    1467
    -------
    6174

    Any explanation to this magic number?
     
  2. nvr2low

    nvr2low TPF Noob!

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    not sure, but im sure there is a proof for it somewhere
     
  3. mentos_007

    mentos_007 The Freshmaker!

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    Kaprekar's constant ???
     

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