{"schema":"vela.problem-packet.v0.1","problem":414,"statement":"Let $h_1(n)=h(n)=n+\\tau(n)$ (where $\\tau(n)$ counts the number of divisors of $n$) and $h_k(n)=h(h_{k-1}(n))$. Is it true, for any $m,n$, there exist $i$ and $j$ such that $h_i(m)=h_j(n)$?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A064491","name":"a(1) = 1, a(n+1) = a(n) + tau(a(n)), where tau(n) (A000005) is the number of divisors of n.","terms":"1,2,4,7,9,12,18,24,32,38,42,50,56,64,71,73,75,81,86,90,102,110,118,122,126,138,146,150,162,172,178,182,190,198,210,226,2","url":"https://oeis.org/A064491"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}