Originally posted by Brathahn How long would the K-3 III allow me lets say 1/15 sec shutterspeed?
With how long, I'm guessing you mean up to what focal length? After all it largely depends on the lens you mount as well.
Specs say 5.5 stops, so that's 1/15 > 1/30 > 1/60 > 1/125 > 1/250 > 1/500 > 1/750. On APS-C 1/750 would be the shutter speed advised (using the 1/(f*1.5) rule) for a 500mm lens without SR. So there's your "official" answer: 500mm.
Is that possible in practice? Depends on many other factors. Perhaps it will be sitting down and your arms fixed against your body, but probably not so much standing up on a windy hilltop after an hours long hike up the mountain. Still you might get a few properly stabilised shots in a burst...
Also, it's personal. Not everybody has the same camera holding technique, some shake a bit more than others, etc... I even find that wearing different shoes can make a difference...
Wim