That is far greater than the 250,000 confirmed cases of the virus itself that the state has recorded.

It would also mean that the fatality rate from the virus was relatively low, about 0.5 percent, Mr. Cuomo said.

[Get the latest news and updates on the coronavirus in the New York region.]

Death toll among homeless New Yorkers reaches 51.

Fifty-one people in the care of the city’s Department of Homeless Services have died of complications related to the coronavirus, which has now spread to more than a third of the city’s 450 shelters, the agency reported on Thursday.

The overall toll rose on Wednesday when officials learned of the deaths of three men who had been living in shelters meant for single adults and who died after being hospitalized with the virus, officials said.

Nearly three out of every four homeless people who have died of the virus and were being tracked by the homeless services agency were adults living in shelters where multiple people share rooms and bathrooms.

At a meeting on Thursday, the City Council’s general welfare committee took up legislation that, among other things, would require that single homeless adults be provided with private rooms.

[Coronavirus in New York: A map and the case count.]

N.Y.C. jail officers sue over long hours in a “cesspool of illness.”

New York City’s jails, where inmates and correction officers are crammed together in cell blocks that are unsanitary even in normal times, have been among the most vulnerable workplaces during the pandemic.