KöMaL 2024 B5395

Let $d(k)$ denote the number of positive divisors of a positive integer $k$, and let $1<n$ be an integer. Which sum is larger: $d(2)+d(4)+\dots+d(2n)$ or $(d(1)+d(3)+\dots+d(2n-1))+(d(1)+d(2)+\dots+d(n))$?