Catalina lived and worked exclusively in California until she retired on December $31,2022.$ She moved to Nevada on January $1,2023.$ Her former California employer pays its employees on the $5$th of every month. On January $10,2023,$ Catalina received in the mail her last paycheck of $$4,000$ from her former California employer. What amount of the compensation is taxable by California?

A$.$ $$0$

B$.$ $$1,000$

C$.$ $$2,000$

D$.$ $$4,000$