{"schema":"vela.problem-packet.v0.1","problem":673,"statement":"Let $1=d_1<\\cdots <d_{\\tau(n)}=n$ be the divisors of $n$ and\\[G(n) = \\sum_{1\\leq i<\\tau(n)}\\frac{d_i}{d_{i+1}}.\\]Is it true that $G(n)\\to \\infty$ for almost all $n$? Can one prove an asymptotic formula for $\\sum_{n\\leq X}G(n)$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}