KöMaL 2025 K876
Think of a positive integer. If the number is even, divide it by 2, if odd, add 1 to it. Continue in the same manner with the result: if it's even, divide it by 2, if it's odd, add 1 to it. Is it true that if the initial number is less than 2025, we will get 1 in less than 25 steps?
Official text KöMaL. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.