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MathNet 2015-part-03 — 191 problems (EN–VI) Question 172

Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)

Question 172

Consider the following operation you can perform on any positive integer $n$:
Remove the lowest digit of $n$ and add to the resulting number 4 times the removed digit.
For example, if $n = 1234$ we get $123+16 = 139$, and if $n = 7$ then we get $0+28 = 28$.
If we start with $25^{2015}$ and keep on applying the operation above 10000 times, what is the number you obtain at the end?