|Easton's Bible Dictionary|
The king's, the father of Jerahmeel, mentioned in Jeremiah 36:26. Some take this word as a common noun, "the king", and understand that Jerahmeel was Jehoiakim's son. Probably, however, it is to be taken as a proper name.
Int. Standard Bible Encyclopedia
ham'-e-lek (ha-melekh, "the king"): Wrongly translated as a proper name in the King James Version. It should be rendered "the king," as in the American Standard Revised Version (Jeremiah 36:26; Jeremiah 38:6).
Hammelech (2 Occurrences)
Jeremiah 36:26 But the king commanded Jerahmeel the son of Hammelech, and Seraiah the son of Azriel, and Shelemiah the son of Abdeel, to take Baruch the scribe and Jeremiah the prophet: but the LORD hid them. (KJV DBY WBS)
Jeremiah 38:6 Then took they Jeremiah, and cast him into the dungeon of Malchiah the son of Hammelech, that was in the court of the prison: and they let down Jeremiah with cords. And in the dungeon there was no water, but mire: so Jeremiah sunk in the mire. (KJV DBY WBS)