It’s a dogma of the Faith that Jesus’ entire humanity came from Mary since God the Father is utterly incorporeal. This doesn’t necessarily deny the possibility of divine intervention in his heredity, especially when we consider that his sex determination must’ve come from somewhere outside of Mary (assuming she was a 46-XX female). That Y chromosome couldn’t have come from her unless something even more miraculous happened: she had a Y chromosome herself that was totally silenced in every single cell of her body. If we’re allowing for miracles such as virgin births why not allow for further miracles? Rather than a truly parthenogenic birth (where the child is essentially a clone of the mother) God could’ve stepped in and shuffled up the autosomal DNA in the developing Jesus Fetus making it appear as if he had a human paternal influence in his DNA. If he’s providing a non-hereditary Y chromosome why not a whole set of non-hereditary autosomal chromosomes?
In other words: we have no idea. The possibilities are endless once we invoke a miraculous conception.