You don't need to say a thing Part 5

Logic Level 3

Think of a 4 digit positive integer with at least two distinct digits. Follow these steps:

Step 1) Arrange the digits in descending order, and also arrange the digits in ascending order to get two four-digit integers, adding the leading zeros when necessary.
Step 2) Find the absolute difference between the two numbers you've found in step 1.
Step 3) Repeat Steps 1 to 2 six more times.

I know what number you have. What must it be?

Details and Assumptions:

  • As an explicit example, if your original number is 2770. Then the two numbers are 7720 and 0277, with a difference of 7443.

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