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Summary of Significant Accounting Policies - Reconciliation of Numerators and Denominators used in Computing Basic and Diluted Net Income Per Share (Detail) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2023
Sep. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Accounting Policies [Abstract]        
Net Income / (Loss) attributable to Odyssey Marine Exploration, Inc.   $ 6,772,417 $ 5,345,819 $ (22,079,859)
Basic net income (loss)     5,345,819 $ (22,079,859)
Denominator:        
Dilutive effect of options     $ 5,557  
Weighted average common shares outstanding – Basic 20,025,067 19,871,381 19,943,633 17,310,915
Dilutive effect of warrants     $ 169,687  
Dilutive effect of other convertible securities     $ 0  
Weighted average common shares outstanding – Diluted 20,025,067 21,536,962 20,118,877 17,310,915
Diluted net income (loss) available to stockholders     $ 5,341,008 $ (22,079,859)
Net (loss) income per share – basic $ (0.19) $ 0.68 $ 0.27 $ (1.28)
Net (loss) income per share – diluted $ (0.19) $ 0.46 $ 0.27 $ (1.28)