The most compelling case I’ve read (years ago) was that he was born in Vancouver, Can. You can google it. Of course they had no idea 50+ years ago that he would overthrow the US govt and become potus. I’d bet $200K he was NOT born in Hawaii.
That seems most plausible with his mother showing up in Washington state so shortly after.
His grandmother probably registered his birth in Hawaii to preserve US citizenship for him, knowing how lax Hawaii was with how they handed out birth certificates.
Regardless, if he claims a foreign national father, he is not a natural born citizen.