Kaprekar numerology: the prediction of fascinating numbers!

November 30, 2008

Indian mathematician D.R. Kaprekar.

Some of the fascinating discoveries by the Indian mathematician D.R. Kaprekar (1905-1986):

  • The Kaprekar constant
  • In 1949 Kaprekar presented one of his most fascinating discoveries: the Kaprekar constant, or the number: 6174

    This number 6174 is reached, starting with any 4-digit number (not all the same), in the limit as one repeatedly subtracts the highest and lowest numbers that can be constructed.

    AN EXAMPLE:

    Thus, starting with 1234, we have:

    4321 – 1234 = 3087,

    then

    8730 – 0378 = 8352, and

    8532 – 2358 = 6174 …!!!

  • The Kaprekar numbers
  • The fascinating aspect of a ‘Kaprekar number’ is the interesting property that if it is squared, then two equal parts of this square also add up to the original number.

    SOME EXAMPLES:

    9^2 = 81 … 8+1 = 9

    45^2 = 2025 … 20+25 = 45

    55^2 = 3025 … 30+25 = 55

    99^2 = 9801 … 98+01 = 99

    703^2 = 494209 … 494+209 = 703

    999^2 = 998001 … 998+001 = 999

    MORE INDIAN NUMEROLOGY REPORTS:
    FREE NUMEROLOGY REPORTS
    FIND A NUMEROLOGIST IN INDIA

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