Troy is a city in the U.S. state of New York and the county seat of Rensselaer County. The city is located on the western edge of Rensselaer County and on the eastern bank of the Hudson River. Troy has close ties to the nearby cities of Albany and Schenectady, forming a region popularly called the Capital District. The city is one of the three major centers for the Albany metropolitan statistical area, which has a population of 1,170,483. At the 2020 census, the population of Troy was 51,401. Troy's motto is Ilium fuit, Troja est, which means "Ilium was, Troy is".