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	$\div 20$	$+3$
Avenue B	All	$\div 20$	$+3$
Avenue C	All	$\div 20$	$+3$
Avenue D	All	$\div 20$	$+3$
1st Ave	All	$\div 20$	$+3$
2nd Ave	All	$\div 20$	$+3$
3rd Ave	All	$\div 20$	$+10$
4th Ave	All	$\div 20$	$+8$
5th Ave	63–108	$\div 20$	$+11$	14.15–16.4
5th Ave	109–199	$\div 20$	$+13$	18.45–23
5th Ave	200–399	$\div 20$	$+16$	26.05–36
5th Ave	400–599	$\div 20$	$+18$	38.05–48
5th Ave	600–774	$\div 20$	$+20$	50.05–58.75
5th Ave	775–1286	$\div 10$	$-18$	59.6–110.6
5th Ave	1287–1499	$\div 20$	$+45$	110–120
5th Ave	Above 1500	$\div 20$	$+24$	124+
6th Ave	All	$\div 20$	$-12$
7th Ave	1–1800	$\div 20$	$+12$	12.05–102
7th Ave	Above 1800	$\div 20$	$+20$	110+
8th Ave	All	$\div 20$	$+9$
9th Ave	All	$\div 20$	$+13$
10th Ave	All	$\div 20$	$+14$
11th Ave	All	$\div 20$	$+15$
Amsterdam Ave	All	$\div 20$	$+59$
Audubon Ave	All	$\div 20$	$+165$
Ave of the Americas	All	$\div 20$	$-12$
Columbus Ave	All	$\div 20$	$+60$ ^[3]
Broadway	1–754	(few numbered streets south of 8th)
Broadway	756–846	$\div 20$	$-29$	8.8–13.3
Broadway	847–953	$\div 20$	$-25$	17.35–22.65
Broadway	Above 953	$\div 20$	$-31$	16.65+
Central Park West	All	$\div 10$	$+60$
Convent Ave	All	$\div 20$	$+127$
East End Ave	All	$\div 20$	$+79$
Edgecombe Ave	All	$\div 20$	$+134$
Ft. Washington Ave	All	$\div 20$	$+158$
Lenox Ave	All	$\div 20$	$+110$
Lexington Ave	All	$\div 20$	$+22$
Madison Ave	All	$\div 20$	$+27$
Manhattan Ave	All	$\div 20$	$+100$
Park Ave	All	$\div 20$	$+34$
Park Ave South	All	$\div 20$	$+8$
Pleasant Ave	All	$\div 20$	$+101$
Riverside Drive	1–567	$\div 10$	$+72$	72.1–128.7
Riverside Drive	Above 567	$\div 10$	$+78$	134.7+
St. Nicholas Ave	All	$\div 20$	$+110$
Vanderbilt Ave	All	$\div 20$	$+42$
Wadsworth Ave	All	$\div 20$	$+173$
West End Ave	All	$\div 20$	$+59$
York Ave	All	$\div 20$	$+4$