It would depend, but probably not that long, depending entirely upon KarateGirl; she's basically the only person I have contact with in the Outside *peers suspiciously out the window at the woods, muttering about trees and birds having ears* If she's still around at such a time as I go missing, it probably wouldn't be more than a day or two. Maybe even just a few hours; there'd be phone calls, which I almost never miss, then texts, which I always reply to, then she'd probably show up at the apartment to see where I was. If I wasn't there, and wasn't working, she'd sound the alarm.
If KarateGirl were to be, say, deployed overseas at the time that I go missing? It could be months. My job would probably assume I moved away, and fire me for no-call/no-showing, which happens frequently with a lot of people.