Kaprekar's Constant

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Kaprekar's Constant

Postby rjamil » Sat Aug 31, 2024 3:57 am

Who knows about the magical 4 digit number?

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Re: Kaprekar's Constant

Postby Yogi » Sat Aug 31, 2024 7:54 pm

What's magical about 6174 ?
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Re: Kaprekar's Constant

Postby rjamil » Sat Aug 31, 2024 10:10 pm

Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Continuing with this process of forming and subtracting, we will always arrive at the number 6174, in at most 7 iterations. Once 6174 is reached, the process will continue yielding 7641 – 1467 = 6174.

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