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Hancock is a city in Houghton County in the U.S. state of Michigan. It is across the Keweenaw Waterway from the city of Houghton on the Keweenaw Peninsula. The population was 4,634 at the 2010 census. The Weather Channel has consistently ranked Hancock as the third-snowiest city in the U.S. Hancock was named after U.S. Founding Father John Hancock.