Manhattan address algorithm

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.^[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 "tricky number" from the table below:

Street/Avenue	Building No.	Divisor	Tricky 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 Avenue	All	$\div 20$	$+3$
2nd Avenue	All	$\div 20$	$+3$
3rd Avenue	All	$\div 20$	$+10$
4th Avenue	All	$\div 20$	$+8$
5th Avenue	63–108	$\div 20$	$+11$	14.15–16.4
5th Avenue	109–199	$\div 20$	$+13$	18.45–23
5th Avenue	200–399	$\div 20$	$+16$	26.05–36
5th Avenue	400–599	$\div 20$	$+18$	38.05–48
5th Avenue	600–774	$\div 20$	$+20$	50.05–58.75
5th Avenue	775–1286	$\div 10$	$-18$	59.6–110.6
5th Avenue	1287–1499	$\div 20$	$+45$	110–120
5th Avenue	Above 1500	$\div 20$	$+24$	124+
6th Avenue	All	$\div 20$	$-12$
7th Avenue	1–1800	$\div 20$	$+12$	12.05–102
7th Avenue	Above 1800	$\div 20$	$+20$	110+
8th Avenue	All	$\div 20$	$+9$
9th Avenue	All	$\div 20$	$+13$
10th Avenue	All	$\div 20$	$+14$
11th Avenue	All	$\div 20$	$+15$
Amsterdam Avenue	All	$\div 20$	$+59$
Audubon Avenue	All	$\div 20$	$+165$
Avenue of the Americas	All	$\div 20$	$-12$
Columbus Avenue	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 Avenue	All	$\div 20$	$+127$
East End Avenue	All	$\div 20$	$+79$
Edgecombe Avenue	All	$\div 20$	$+134$
Ft. Washington Avenue	All	$\div 20$	$+158$
Lenox Avenue	All	$\div 20$	$+110$
Lexington Avenue	All	$\div 20$	$+22$
Madison Avenue	All	$\div 20$	$+27$
Manhattan Avenue	All	$\div 20$	$+100$
Park Avenue	All	$\div 20$	$+34$
Park Avenue South	All	$\div 20$	$+8$
Pleasant Avenue	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 Avenue	All	$\div 20$	$+110$
Vanderbilt Avenue	All	$\div 20$	$+42$
Wadsworth Avenue	All	$\div 20$	$+173$
West End Avenue	All	$\div 20$	$+59$
York Avenue	All	$\div 20$	$+4$

Examples

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

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

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

References

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

Streets of Manhattan

North–south

Major avenues	1st Av 2nd Av 3rd Av Lexington Av Park Av Madison Av 5th Av Broadway 6th Av (Av of the Americas) Lenox Av 7th Av (Fashion Av) 8th Av 9th Av 10th Av 11th Av 12th Av
Financial District	South Pearl Broad William Nassau Theatre Alley Whitehall Canyon of Heroes State West
Lower East Side	Allen Pike Baxter Centre Market Pl Bowery Centre Division Chrystie Coenties Slip Eldridge Elizabeth Essex Forsyth Lafayette Doyers Rivington Ludlow Mott Mulberry Orchard Park Row Spring Cherry
Lower West Side	Cortlandt Alley Trinity Pl Church Greenwich Hudson Jones MacDougal Patchin Pl Sullivan Gay Thompson Varick Washington W Broadway LaGuardia Pl Weehawken West Side Hwy Bank 13th Av
East Village / Gramercy	Ave D Ave C Ave B Ave A Asser Levy Pl Shevchenko Pl Irving Pl 4th Av Union Square E Park Av S University Pl Union Square W
Midtown	Beekman Pl Sutton Pl Park Av Viaduct Park Av Tunnel Vanderbilt Av Rockefeller Plz 6½ Av Great White Way Shubert Alley Dyer Av Hudson Blvd
Upper East / Upper West	East End Av York Av Museum Mile East Dr Center Dr West Dr Central Park W Columbus Av Amsterdam Av West End Av Riverside Dr
Harlem / Wash. Hts.	Pleasant Av Lenox Av (Malcolm X Blvd) Powell Blvd Douglass Blvd Morningside Dr Audubon Av St. Nicholas Av (Duarte Blvd) Claremont Av Ft. Washington Av Cabrini Blvd Sylvan Pl Tiemann Pl

East–west

Financial District	Bridge Stone Marketfield Beaver Exchange Pl Wall Albany Liberty Cortlandt St/Wy Maiden La Dey Fulton Vesey Ann
Downtown	Spruce Roosevelt Chambers E Broadway Henry Madison Cherry Worth N Moore Broome Canal Hester Grand Delancey Stanton Houston Vandam Bleecker Bond Great Jones 4th Waverly Pl Washington Square N Astor Pl Washington Mews Stuyvesant Macdougal Alley 8th St. Mark's Pl Greenwich Av Christopher Charles 14th
Midtown	23rd 34th 42nd 45th (George Abbott Way) 47th 50th 51st 52nd (Swing Alley / St of Jazz) 53rd 54th 55th 57th 59th (Central Park S)
Uptown	66th / Peter Jennings Way 72nd 74th 79th 85th 86th 89th 93rd 95th 96th 110th (Cathedral Pkwy / Central Park N) 116th 125th (Martin Luther King Jr. Blvd) 130th (Astor Row) 132nd 133rd 139th (Strivers' Row) 145th 155th Bogardus Pl Dyckman Plaza Lafayette

Intersections

Circles	Columbus Duke Ellington Frederick Douglass
Squares	Chatham Cooper Duarte Duffy Foley Gramercy Park Grand Army Plz Hanover Herald Hudson Jackson Lincoln Madison Mulry Pershing Petrosino Sherman Stuyvesant Times Tompkins Union Verdi Washington Zuccotti Park

Italics indicate streets no longer in existence.
All entries are streets, circles, or squares unless otherwise noted
See also: Manhattan address algorithm

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