Fun with Four Digits

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This could be a fun post if several of you participate – so give this a whirl!

1) Take any four-digit number, using at least two different digits. (eg., 4013)

2) Arrange the digits in ascending and then in descending order to get two four-digit numbers, adding leading zeros if necessary. (eg., 0134 & 4310)

3) Subtract the smaller number from the bigger number. (eg., 4310 – 0134 = 4176)

4) Go back to step 2 with your new number from step 3 above.

Follow these steps in a loop until your answer from step 3 starts to repeat.  Write that repeating number as a comment to this post.

Go!

4 thoughts on “Fun with Four Digits

  1. TheshoeboxKitchen's avatarTheshoeboxKitchen Post author

    Good job, y’all. As you may have discovered by now, 6174 is known as the Kaprekar Constant, named after the Indian mathematician who discovered this pattern with 4-digit numbers in 1949, along with many other interesting types of numbers throughout his career. Apparently Kaprekar obtained no postgraduate education and was a school teacher all his life. Looks like I have a lot of catching up to do if I’m going to be as cool as him and have a number named after me.

    Reply

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