No, I think dry Burr Oak weighs about 3768, again if memory serves me.
Funny thing Geo, wood will not dry out much until it's cut and split. We cleaned up some oaks that had been dropped about ten years earlier, with the bark completely off. The wood had a small amount of decay on the outside, about 1/4", but the center of the wood was solid as the day it was cut and just as moist.
Perhaps in different climates things are different, but here you need to cut and split wood for it to dry out, unless it's small branch wood. Bigger bodywood will decay, just won't dry out.