The Kaprekar constant is 6174. For any 4-digit number, repeatedly arranging digits in ascending and descending order, subtracting smaller from larger, and iterating the process will always reach 6174 in a maximum of 7 steps.
Class 6 Mathematics Ganita Prakash Number Play
Class 6 Mathematics Chapter 3 Number Play question answer
The Kaprekar constant, 6174, is a fascinating number discovered by mathematician D.R. Kaprekar. Start with any 4-digit number (not all digits identical), arrange its digits in descending and ascending order, subtract the smaller from the larger, and repeat. For example, starting with 3524:
4325 − 2345 = 1976, then
9761 − 1679 = 8082, and
8820 − 0288 = 8532, until
7641 − 1467 = 6174.
This process always leads to 6174 within a maximum of seven iterations.
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