# Manhattan address algorithm

The Manhattan address algorithm refers to the formulas used to estimate the closest east–west cross street for building numbers on north–south avenues in the New York City borough of Manhattan.[1][2]

## Algorithm

To find the approximate number of the closest cross street, divide the building number by a divisor (generally 20) and add (or subtract) the "magic number" from the table below:

Street/Avenue Building No.  Divisor Magic No.  (unrounded result)
Avenue A All ${\displaystyle \div 20}$ ${\displaystyle +3}$
Avenue B All ${\displaystyle \div 20}$ ${\displaystyle +3}$
Avenue C All ${\displaystyle \div 20}$ ${\displaystyle +3}$
Avenue D All ${\displaystyle \div 20}$ ${\displaystyle +3}$
1st Avenue All ${\displaystyle \div 20}$ ${\displaystyle +3}$
2nd Avenue All ${\displaystyle \div 20}$ ${\displaystyle +3}$
3rd Avenue All ${\displaystyle \div 20}$ ${\displaystyle +10}$
4th Avenue All ${\displaystyle \div 20}$ ${\displaystyle +8}$
5th Avenue 63–108 ${\displaystyle \div 20}$ ${\displaystyle +11}$ 14.15–16.4
5th Avenue 109–199 ${\displaystyle \div 20}$ ${\displaystyle +13}$ 18.45–23
5th Avenue 200–399 ${\displaystyle \div 20}$ ${\displaystyle +16}$ 26.05–36
5th Avenue 400–599 ${\displaystyle \div 20}$ ${\displaystyle +18}$ 38.05–48
5th Avenue 600–774 ${\displaystyle \div 20}$ ${\displaystyle +20}$ 50.05–58.75
5th Avenue 775–1286 ${\displaystyle \div 10}$ ${\displaystyle -18}$ 59.6–110.6
5th Avenue 1287–1499 ${\displaystyle \div 20}$ ${\displaystyle +45}$ 110–120
5th Avenue Above 1500 ${\displaystyle \div 20}$ ${\displaystyle +24}$ 124+
6th Avenue All ${\displaystyle \div 20}$ ${\displaystyle -12}$
7th Avenue 1–1800 ${\displaystyle \div 20}$ ${\displaystyle +12}$ 12.05–102
7th Avenue Above 1800 ${\displaystyle \div 20}$ ${\displaystyle +20}$ 110+
8th Avenue All ${\displaystyle \div 20}$ ${\displaystyle +9}$
9th Avenue All ${\displaystyle \div 20}$ ${\displaystyle +13}$
10th Avenue All ${\displaystyle \div 20}$ ${\displaystyle +14}$
11th Avenue All ${\displaystyle \div 20}$ ${\displaystyle +15}$
Amsterdam Avenue All ${\displaystyle \div 20}$ ${\displaystyle +59}$
Audubon Avenue All ${\displaystyle \div 20}$ ${\displaystyle +165}$
Avenue of the Americas All ${\displaystyle \div 20}$ ${\displaystyle -12}$
Columbus Avenue All ${\displaystyle \div 20}$ ${\displaystyle +60}$[3]
Broadway 1–754 (few numbered streets south of 8th)
Broadway 756–846 ${\displaystyle \div 20}$ ${\displaystyle -29}$ 8.8–13.3
Broadway 847–953 ${\displaystyle \div 20}$ ${\displaystyle -25}$ 17.35–22.65
Broadway Above 953 ${\displaystyle \div 20}$ ${\displaystyle -31}$ 16.65+
Central Park West All ${\displaystyle \div 10}$ ${\displaystyle +60}$
Convent Avenue All ${\displaystyle \div 20}$ ${\displaystyle +127}$
East End Avenue All ${\displaystyle \div 20}$ ${\displaystyle +79}$
Edgecombe Avenue All ${\displaystyle \div 20}$ ${\displaystyle +134}$
Ft. Washington Avenue All ${\displaystyle \div 20}$ ${\displaystyle +158}$
Lenox Avenue All ${\displaystyle \div 20}$ ${\displaystyle +110}$
Lexington Avenue All ${\displaystyle \div 20}$ ${\displaystyle +22}$
Madison Avenue All ${\displaystyle \div 20}$ ${\displaystyle +27}$
Manhattan Avenue All ${\displaystyle \div 20}$ ${\displaystyle +100}$
Park Avenue All ${\displaystyle \div 20}$ ${\displaystyle +34}$
Park Avenue South All ${\displaystyle \div 20}$ ${\displaystyle +8}$
Pleasant Avenue All ${\displaystyle \div 20}$ ${\displaystyle +101}$
Riverside Drive 1–567 ${\displaystyle \div 10}$ ${\displaystyle +72}$ 72.1–128.7
Riverside Drive Above 567 ${\displaystyle \div 10}$ ${\displaystyle +78}$ 134.7+
St. Nicholas Avenue All ${\displaystyle \div 20}$ ${\displaystyle +110}$
Vanderbilt Avenue All ${\displaystyle \div 20}$ ${\displaystyle +42}$
Wadsworth Avenue All ${\displaystyle \div 20}$ ${\displaystyle +173}$
West End Avenue All ${\displaystyle \div 20}$ ${\displaystyle +59}$
York Avenue All ${\displaystyle \div 20}$ ${\displaystyle +4}$