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Source: Puzzle Critic

Pick a number. Call it \(n\). Write down all the numbers from \(n+1\) to \(2n\) (inclusive). For example, if you picked 7, you would write:

$$8,9,10,11,12,13,14$$
Below each number, write down its largest odd factor. Add these factors up. What is the result? Why?

If you enjoyed this puzzle, check out Sunday Afternoon Maths LIX,

puzzles about shapes, or a random puzzle.

puzzles about shapes, or a random puzzle.