I’m trying understand the prophets of islam and their genealogical relations as a christian who knows nearly nothing about islam. According to “Family Tree of Muhammad” on wikipedia Arfakhshad was the Son of Sam who is the Son of Noah. He is important to me because he is an ancestor of Abraham and I also have no clue who his brother Iram is. They seem like they are important as they split two trees of prophets. I’m guessing that their names are simply a different spelling and that’s what’s making this so difficult.
Hopefully this very short answer will be acceptable, but you're right, they are just spelled slightly differently in the Bible and the Qur'an. Arfakhshad is Arpachshad (or various other spellings - Arphaxad, Arphachshad), and Iram is Aram. Arpachshad was supposed to be the ancestor of the Babylonians while Aram was the ancestor of the Aramaeans.