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The Manhattan address algorithm is a series of 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.

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 "tricky number" from the table below:

Street/Avenue	Building No.	Divisor	Tricky 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	${\displaystyle \div 20}$	${\displaystyle +60}$
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	${\displaystyle \div 20}$	${\displaystyle +4}$

Examples

For example, if you are at 62 Avenue B, ${\displaystyle 62\div 20\approx 3}$, then add the "tricky number" ${\displaystyle 3}$ to give ${\displaystyle 6}$. The nearest cross street to 62 Avenue B is East 6th Street.

If you are at 78 Riverside Drive, ${\displaystyle 78\div 10\approx 8}$, then add the "tricky number" ${\displaystyle 72}$ to give ${\displaystyle 80}$. The nearest cross street to 78 Riverside Drive is West 80th Street.

If you are at 501 5th Avenue, ${\displaystyle 501\div 20\approx 25}$, then add the "tricky number" ${\displaystyle 18}$ to give ${\displaystyle 43}$. The nearest cross street to 501 5th Avenue is actually 42nd Street, not 43rd Street, as the Manhattan address algorithm only gives approximate answers.

See also

• House numbering
• List of numbered streets in Manhattan
• Numbered street

References

1. "Street Locator for New York City". www.ny.com. Retrieved 2024-04-22.
2. "Neighborhoods in Brief in New York City | Frommer's". www.frommers.com. Retrieved 2024-04-22.
3. "Address Finder; Arithmetic of the Avenues". The New York Times. September 27, 1998. Retrieved September 1, 2015.

• Streets in Manhattan
• Algorithms