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According to the United States Census Bureau, the town has a total area of 7.4 km² (2.9 mi²). 7.3 km² (2.8 mi²) of it is land and 0.1 km² (0.04 mi²) of it is water. The total area is 1.05% water.
As of the census of 2000, there are 1,821 people, 803 households, and 517 families residing in the town. The population density is 248.4/km² (644.6/mi²). There are 903 housing units at an average density of 123.2/km² (319.6/mi²). The racial makeup of the town is 76.22% White, 21.47% African American, 0.16% Native American, 0.05% Asian, 0.00% Pacific Islander, 0.38% from other races, and 1.70% from two or more races. 1.37% of the population are Hispanic or Latino of any race.
There are 803 households out of which 26.3% have children under the age of 18 living with them, 45.1% are married couples living together, 15.2% have a female householder with no husband present, and 35.6% are non-families. 33.0% of all households are made up of individuals and 18.4% have someone living alone who is 65 years of age or older. The average household size is 2.27 and the average family size is 2.85.
In the town the population is spread out with 22.8% under the age of 18, 7.9% from 18 to 24, 22.9% from 25 to 44, 25.3% from 45 to 64, and 21.0% who are 65 years of age or older. The median age is 42 years. For every 100 females there are 85.6 males. For every 100 females age 18 and over, there are 80.4 males.
The median income for a household in the town is $24,694, and the median income for a family is $32,311. Males have a median income of $26,797 versus $17,054 for females. The per capita income for the town is $13,693. 24.6% of the population and 18.6% of families are below the poverty line. Out of the total people living in poverty, 38.9% are under the age of 18 and 18.2% are 65 or older.
Victoria was the location of a large equipment maintenance operation on the Virginian Railroad. It was strategically located about half way between the coal mines of western Virginia and the shipping centers of eastern Virginia.