This being a bit light for a fan also expect 8 32 or 10 32.
Ceiling fan mounting box screws.
First this has to be a properly installed ceiling fan box you can t put a fan on a lamp box because the dynamic forces of the vibration will tear it out of the ceiling.
You can also use a rod system adjusting the position of the box on the rods and then screwing the rods to the joists.
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Either way the front edge of the box should emerge through the ceiling flush.
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Most building codes require ceiling fans to be mounted on special fan rated boxes which are made of metal or strong plastic and have deep threaded holes for the mounting screws.
I would use 10 32 screws about 3 4 longer than the depth of the box so 2 5 or 3 long and screw them into the holes in the back of the box that lie behind the cover plate mounting ears they need to engage into the hanger bar behind the box in order to mount the fan correctly it appears in your case.
On normal electrical boxes screws are usually 6 32.
The box must be mounted firmly either by attaching it directly to a framing member or by using a fan rated brace.
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Ground screws are 10 32.