HMMT 2009 U17

How many positive integers $n \leq 2009$ have the property that $\left\lfloor\log _{2}(n)\right\rfloor$ is odd?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

682

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.