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 Ave All ${\displaystyle \div 20}$ ${\displaystyle +3}$
2nd Ave All ${\displaystyle \div 20}$ ${\displaystyle +3}$
3rd Ave All ${\displaystyle \div 20}$ ${\displaystyle +10}$
4th Ave All ${\displaystyle \div 20}$ ${\displaystyle +8}$
5th Ave 63–108 ${\displaystyle \div 20}$ ${\displaystyle +11}$ 14.15–16.4
5th Ave 109–199 ${\displaystyle \div 20}$ ${\displaystyle +13}$ 18.45–23
5th Ave 200–399 ${\displaystyle \div 20}$ ${\displaystyle +16}$ 26.05–36
5th Ave 400–599 ${\displaystyle \div 20}$ ${\displaystyle +18}$ 38.05–48
5th Ave 600–774 ${\displaystyle \div 20}$ ${\displaystyle +20}$ 50.05–58.75
5th Ave 775–1286 ${\displaystyle \div 10}$ ${\displaystyle -18}$ 59.6–110.6
5th Ave 1287–1499 ${\displaystyle \div 20}$ ${\displaystyle +45}$ 110–120
5th Ave Above 1500 ${\displaystyle \div 20}$ ${\displaystyle +24}$ 124+
6th Ave All ${\displaystyle \div 20}$ ${\displaystyle -12}$
7th Ave 1–1800 ${\displaystyle \div 20}$ ${\displaystyle +12}$ 12.05–102
7th Ave Above 1800 ${\displaystyle \div 20}$ ${\displaystyle +20}$ 110+
8th Ave All ${\displaystyle \div 20}$ ${\displaystyle +9}$
9th Ave All ${\displaystyle \div 20}$ ${\displaystyle +13}$
10th Ave All ${\displaystyle \div 20}$ ${\displaystyle +14}$
11th Ave All ${\displaystyle \div 20}$ ${\displaystyle +15}$
Amsterdam Ave All ${\displaystyle \div 20}$ ${\displaystyle +59}$
Audubon Ave All ${\displaystyle \div 20}$ ${\displaystyle +165}$
Ave of the Americas All ${\displaystyle \div 20}$ ${\displaystyle -12}$
Columbus Ave 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 Ave All ${\displaystyle \div 20}$ ${\displaystyle +127}$
East End Ave All ${\displaystyle \div 20}$ ${\displaystyle +79}$
Edgecombe Ave All ${\displaystyle \div 20}$ ${\displaystyle +134}$
Ft. Washington Ave All ${\displaystyle \div 20}$ ${\displaystyle +158}$
Lenox Ave All ${\displaystyle \div 20}$ ${\displaystyle +110}$
Lexington Ave All ${\displaystyle \div 20}$ ${\displaystyle +22}$
Madison Ave All ${\displaystyle \div 20}$ ${\displaystyle +27}$
Manhattan Ave All ${\displaystyle \div 20}$ ${\displaystyle +100}$
Park Ave All ${\displaystyle \div 20}$ ${\displaystyle +34}$
Park Ave South All ${\displaystyle \div 20}$ ${\displaystyle +8}$
Pleasant Ave 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 Ave All ${\displaystyle \div 20}$ ${\displaystyle +110}$
Vanderbilt Ave All ${\displaystyle \div 20}$ ${\displaystyle +42}$
Wadsworth Ave All ${\displaystyle \div 20}$ ${\displaystyle +173}$
West End Ave All ${\displaystyle \div 20}$ ${\displaystyle +59}$
York Ave All ${\displaystyle \div 20}$ ${\displaystyle +4}$