{"schema":"vela.problem-packet.v0.1","problem":1052,"statement":"A unitary divisor of $n$ is $d\\mid n$ such that $(d,n/d)=1$. A number $n\\geq 1$ is a unitary perfect number if it is the sum of its unitary divisors (aside from $n$ itself).Are there only finite many unitary perfect numbers?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A002827","name":"Unitary perfect numbers: numbers k such that usigma(k) - k = k.","terms":"6,60,90,87360,146361946186458562560000","url":"https://oeis.org/A002827"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}