Question 15
For a positive integer n, f(n) is the exponent of the largest power of 2 dividing n. The source gives the example “f(40)=3 as $20=2^3\times 5$”. Find f(N) for $N=1\times 2\times\cdots\times 2023$.
Editorial note: the displayed factorisation in the example has a typographical error; use the stated definition of f.
Editorial note: the displayed factorisation in the example has a typographical error; use the stated definition of f.