Saturday, December 28, 2024

INDIAN MATHEMATICIAN

D. R. Kaprekar
Indian mathematician D. R. Kaprekar is best remembered for his discovery of the Kaprekar constant in 1976. The constant is the number 6174.
Take any four-digit number in which not all digits are alike. Arrange the digits in descending order and then reverse them to make a new number. Subtract the new number from the first number. If this process is repeated with the difference, eventually in about eight steps, the constant 6174 is arrived at.
Example: 4527
7542 - 2457 = 5085
8550 - 0558 = 7992
9972 - 2799 = 7173
7731 - 1377 = 6354
6543 - 3456 = 3087
8730 - 0378 = 8352
8532 - 2358 = 6174
7641 - 1467 = 6174

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