imfeelinglucky://anacron

Anacron isn't a daemon: when run, it runs any anacron-jobs whose start-times fell in the period since anacron last run. For machines which are switched on and off each day, and aren't usually up at midnight, this is what you want; for a server, or anything usually up 24/7, it isn't.

I'm not sure where anacron keeps its own list of anacron-jobs (it's not the same as cron's list of cron-jobs), but it looks as if the Debian folk set things up so that anacron-jobs are used for all the system tasks if anacron is installed (it probably runs during, or just after, system startup) -- and a parallel collection of plain cron-jobs do the work if anacron isn't installed.

Unless you explicitly use anacron for something, it sounds like this box just needs anacron de-installing.

Peter