Washington, D.C. uses Eastern Time (UTC−5 standard, UTC−4 daylight).
Wake Island uses Wake Island Time (UTC+12) year-round.
The difference is 16 hours (when D.C. is on standard time) or 17 hours (when D.C. is on daylight time). This spans many time zones—far more than three or four.
For example, when it's noon Monday in D.C. (EST), it's 4:00 AM Tuesday on Wake Island.