MathDB
2023 CUBRMC Team #1 n-(sum of digits of n)

Source:

March 8, 2024
number theorycubrmc

Problem Statement

Ben starts with an integer greater than 99 and subtracts the sum of its digits from it to get a new integer. He repeats this process with each new integer he gets until he gets a positive 11-digit integer. Find all possible 11-digit integers Ben can end with from this process.