If any person is delinquent in the payment of the amount required to be paid by him or her or if a determination has been made against him or her that remains unpaid, the board may, not later than five years after the payment became delinquent, give notice thereof personally or by first-class mail to all persons, including any officer or department of the state or any political subdivision or agency of the state, having in their possession or under their control any credits or other personal property belonging to the delinquent, or any person against whom a determination has been made that remains unpaid or owing any debts to the delinquent or that person. In the case of any state officer, department, or agency, the notice shall be given to that officer, department, or agency prior to the time it presents the claim of the delinquent to the State Controller.