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As the year closes, the armed forces of the United States reach a strength of more than 680,000 men

Federal Government and Politics, iconic image
The official figures for the strength of the United States armed forces at the end of 1861 indicated a total army of 660, 971 men.  The Regular Army made up 20,334 of this number, with the remaining 640,637 were Volunteers.  The U.S. Navy numbered 20,000 men in 246 warships.  (By John Osborne)
Source Citation: 
E.J. Burrows (ed.), The Great Rebellion of 1861 ... (Philadelphia, PA: C. Sherman and Son, 1862), 60.