I asked the following question in MSE four ($4$) days ago, but so far nobody has posted an answer.

The gist of the question is as follows:

Are all known $k$-multiperfect numbers (for $k > 2$)

notsquarefree?

From my own computational verifications using WolframAlpha, it appears that a *closely related* question is:

Are all known (

even) $k$-multiperfect numbers (for $k > 2$)divisibleby $4$?

Thank you!