US States

U.S. state is any one of the fifty subnational entities of the United States that share sovereignty with the federal government (four states use the official title of commonwealth rather than state). Because of this shared sovereignty, an American is a citizen both of the federal entity and of his or her state of domicile. However, state citizenship is very flexible, and no government approval is required to move between states (with the exception of convicts on parole).

National capital :

Washington, DC has been the national capital of the United States since 1800.

In 32 of the 50 U.S. states, the state capital is currently not the state's most populous city.
The dates listed in the following table indicate the year since which the current capital has continuously served as the sole capital. In nine states, as noted below, the current capital had served as capital previously, but one or more other cities were capital in the interim.
Also, the states that are italicized denote that the capital city is not in a metropolitan area:

State Capitals city of the Fifty States

Alabama - Montgomery
Alaska - Juneau
Arizona - Phoenix
Arkansas - Little Rock
California - Sacramento
Colorado - Denver
Connecticut - Hartford
Delaware - Dover
Florida - Tallahassee
Georgia - Atlanta
Hawaii - Honolulu
Idaho - Boise
Illinois - Springfield
Indiana - Indianapolis
Iowa - Des Moines
Kansas - Topeka
Kentucky - Frankfort
Louisiana - Baton Rouge
Maine - Augusta
Maryland - Annapolis
Massachusetts - Boston
Michigan - Lansing
Minnesota - St. Paul
Mississippi - Jackson
Missouri - Jefferson City
Montana - Helena
Nebraska - Lincoln
Nevada - Carson City
New Hampshire - Concord
New Jersey - Trenton
New Mexico - Santa Fe
New York - Albany
North Carolina - Raleigh
North Dakota - Bismarck
Ohio - Columbus
Oklahoma - Oklahoma City
Oregon - Salem
Pennsylvania - Harrisburg
Rhode Island - Providence
South Carolina - Columbia
South Dakota - Pierre
Tennessee - Nashville
Texas - Austin
Utah - Salt Lake City
Vermont - Montpelier
Virginia - Richmond
Washington - Olympia
West Virginia - Charleston
Wisconsin - Madison
Wyoming - Cheyenne