These are the hits on the word "years" in IIKings. Once again I only keyed on Judah. Also I removed all hits that were not needed for our calculations.
2Kgs:8:17: Thirty and two years old was he when he began to reign; and he reigned eight years in Jerusalem.
8 years
2Kgs:8:26: Two and twenty years old was Ahaziah when he began to reign; and he reigned one year in Jerusalem. And his mother's name was Athaliah, the daughter of Omri king of Israel.
1 years
2Kgs:11:3: And he was with her hid in the house of the LORD six years. And Athaliah did reign over the land.
6 years
2Kgs:12:1: In the seventh year of Jehu Jehoash began to reign; and forty years reigned he in Jerusalem. And his mother's name was Zibiah of Beer-sheba.
40 years
2Kgs:14:2: He was twenty and five years old when he began to reign, and reigned twenty and nine years in Jerusalem. And his mother's name was Jehoaddan of Jerusalem.
29 years
2Kgs:15:2: Sixteen years old was he when he began to reign, and he reigned two and fifty years in Jerusalem. And his mother's name was Jecholiah of Jerusalem.
52 years
2Kgs:15:33: Five and twenty years old was he when he began to reign, and he reigned sixteen years in Jerusalem. And his mother's name was Jerusha, the daughter of Zadok.
16 years
2Kgs:16:2: Twenty years old was Ahaz when he began to reign, and reigned sixteen years in Jerusalem, and did not that which was right in the sight of the LORD his God, like David his father.
16 years
2Kgs:18:2: Twenty and five years old was he when he began to reign; and he reigned twenty and nine years in Jerusalem. His mother's name also was Abi, the daughter of Zachariah.
29 years
2Kgs:21:1: Manasseh was twelve years old when he began to reign, and reigned fifty and five years in Jerusalem. And his mother's name was Hephzi-bah.
55 years
2Kgs:21:19: Amon was twenty and two years old when he began to reign, and he reigned two years in Jerusalem. And his mother's name was Meshullemeth, the daughter of Haruz of Jotbah.
2 years
2Kgs:22:1: Josiah was eight years old when he began to reign, and he reigned thirty and one years in Jerusalem. And his mother's name was Jedidah, the daughter of Adaiah of Boscath.
31 yeras
2Kgs:23:31: Jehoahaz was twenty and three years old when he began to reign; and he reigned three months in Jerusalem. And his mother's name was Hamutal, the daughter of Jeremiah of Libnah.
3 months
2Kgs:23:36: Jehoiakim was twenty and five years old when he began to reign; and he reigned eleven years in Jerusalem. And his mother's name was Zebudah, the daughter of Pedaiah of Rumah.
11 years
2Kgs:24:8: Jehoiachin was eighteen years old when he began to reign, and he reigned in Jerusalem three months. And his mother's name was Nehushta, the daughter of Elnathan of Jerusalem.
3 months
2Kgs:24:18: Zedekiah was twenty and one years old when he began to reign, and he reigned eleven years in Jerusalem. And his mother's name was Hamutal, the daughter of Jeremiah of Libnah.
11 years
The total time is 307 years. We add that to the 3438 years from our previous studies.