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ORGANIZATION (Narrative) (Details) - shares
Sep. 30, 2016
Sep. 30, 2015
Common stock, shares outstanding 5,820,746 5,819,494
Treasury stock, shares 102,996 104,248
Treasury Stock [Member]    
Ownership of Maygar Bancorp, Inc. (percentage) 1.80%  
Treasury stock, shares 104,248  
Hungaria Urban Renewal [Member]    
Ownership of subsidiaries 100.00%  
Magyar Bank [Member]    
Ownership of Maygar Bancorp, Inc. (percentage) 44.20%  
Common stock, shares outstanding 2,620,296  
Magyar Bancorp, MHC [Member]    
Ownership of subsidiaries 100.00%  
Ownership of Maygar Bancorp, Inc. (percentage) 54.00%  
Common stock, shares outstanding 3,200,450