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#Post#: 385576--------------------------------------------------
Kaprekar's Constant
DIR By: LabPartner
Date: April 19, 2026, 8:46 pm
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6174
6174 is known as Kaprekar's constant, a mathematical curiosity
discovered by Indian mathematician D.R. Kaprekar in 1949. It
acts as a "mathematical black hole" for four-digit numbers:
taking any 4-digit number (with at least two different digits),
rearranging its digits in descending and ascending order, and
subtracting the smaller from the larger repeatedly will always
yield 6174 in at most seven steps.
Example:
9753
3579
6174
#Post#: 385579--------------------------------------------------
Re: Kaprekar's Constant
DIR By: MidwestmikkiJ
Date: April 19, 2026, 10:01 pm
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But it turns out you have to follow directions.
#Post#: 385589--------------------------------------------------
Re: Kaprekar's Constant
DIR By: kkt
Date: April 20, 2026, 12:16 am
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So, I take for instance 2026.
Digits in descending order: 6220
Digits in ascending order: 0226
Subtracted: 5994
in descending order: 9954
in ascending order: 4599
subtracted: 5355
descending order: 5553
ascending order: 3555
subtracted: 1998
descending order: 9981
ascending order: 1899
subtracted: 8082
descending order: 8820
ascending order: 0288
subtracted: 8532
already in descending order
in ascending order: 2358
subtracted: 6174
damn.
#Post#: 385634--------------------------------------------------
Re: Kaprekar's Constant
DIR By: MidwestmikkiJ
Date: April 20, 2026, 10:04 am
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My question is how do people figure stuff like this out in the
first place? Just playing round with numbers?
While I understand the importance of mathematics in explaining
things I don’t understand how you come to be playing with
numbers and discover something like this. Sorry Buttercup, but
numbers were always hard for me and the idea of doing it for fun
still doesn’t compute even though it got easier by my twenties -
I’m guessing brain development.
#Post#: 385704--------------------------------------------------
Re: Kaprekar's Constant
DIR By: acl-ny
Date: April 20, 2026, 12:17 pm
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Math!
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