{"schema":"vela.problem-packet.v0.1","problem":1053,"statement":"Call a number $k$-perfect if $\\sigma(n)=kn$, where $\\sigma(n)$ is the sum of the divisors of $n$. Must $k=o(\\log\\log n)$?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A007539","name":"a(n) = first n-fold perfect (or n-multiperfect) number.","terms":"1,6,120,30240,14182439040,154345556085770649600,141310897947438348259849402738485523264343544818565120000","url":"https://oeis.org/A007539"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}