🔼The name Melchi in the Bible
There are two men named Melchi in the Bible and both are mentioned only in the Lucan genealogy of Christ through David's son Nathan. One is the great-great-grandfather of Joseph, Jesus' father-by-law (Luke 3:24) and the other is the great-grandfather of Zerubbabel, the leader of the massive repatriation movement of Jews from Babylon (Luke 3:28).
🔼Etymology of the name Melchi
Although we have the name Melchi only in Greek, it's obviously a transliteration of a common Hebrew name, which would be spelled מלכי. And that name would be based on the noun מלך (melek), meaning king:
The letter י (yod) upon which our Hebrew name would end, may either create an adjective (king-like, or royal), a possessive form (my king, or king of), or may be a remnant of יה (Yah), which is short for יהוה, which is the name YHWH, or Yahweh.
The name Melchi means My King or Royal.