Ok. thank for the clarification. I guess overall that one can't really(!) tell the shutter count based on the exif info. Nor the folder and image #'s as those are easily set to whatever you want. Would the x100 series have the same issues? The later models store the shutter count which is accessible thru the menu (though rounded to the hundred'th position).
I've read somewhere else that the 1st bit is always a one, so it's half that, i.e. 32768. I think I also got in the same trap. The EXIF data said 48. But the camera was in mint condition with no visible signs of use. Same story from the seller, i.e. hardly used, sitting on a shelf for months. Best case, it is a capacitor issue. 😞