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Manhattan address algorithm

From Wikipedia, the free encyclopedia
Algorithm for estimating cross-street number

TheManhattan address algorithm is a series of formulas used to estimate the closest east–west cross street forbuilding numbers on north–south avenues in theNew York City borough ofManhattan.

Algorithm

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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:[1][2][3]

Street/AvenueBuilding No. DivisorTricky No. (unrounded result)
Avenue AAll÷20{\displaystyle \div 20}+3{\displaystyle +3}
Avenue BAll÷20{\displaystyle \div 20}+3{\displaystyle +3}
Avenue CAll÷20{\displaystyle \div 20}+3{\displaystyle +3}
Avenue DAll÷20{\displaystyle \div 20}+3{\displaystyle +3}
1st AvenueAll÷20{\displaystyle \div 20}+3{\displaystyle +3}
2nd AvenueAll÷20{\displaystyle \div 20}+3{\displaystyle +3}
3rd AvenueAll÷20{\displaystyle \div 20}+10{\displaystyle +10}
4th AvenueAll÷20{\displaystyle \div 20}+8{\displaystyle +8}
5th Avenue63–108÷20{\displaystyle \div 20}+11{\displaystyle +11}14.15–16.4
5th Avenue109–199÷20{\displaystyle \div 20}+13{\displaystyle +13}18.45–23
5th Avenue200–399÷20{\displaystyle \div 20}+16{\displaystyle +16}26.05–36
5th Avenue400–599÷20{\displaystyle \div 20}+18{\displaystyle +18}38.05–48
5th Avenue600–774÷20{\displaystyle \div 20}+20{\displaystyle +20}50.05–58.75
5th Avenue775–1286÷10{\displaystyle \div 10}18{\displaystyle -18}59.6–110.6
5th Avenue1287–1499÷20{\displaystyle \div 20}+45{\displaystyle +45}110–120
5th AvenueAbove 1500÷20{\displaystyle \div 20}+24{\displaystyle +24}124+
6th Avenue / Avenue of the AmericasAll÷20{\displaystyle \div 20}12{\displaystyle -12}
7th Avenue1–1800÷20{\displaystyle \div 20}+12{\displaystyle +12}12.05–102
7th AvenueAbove 1800÷20{\displaystyle \div 20}+20{\displaystyle +20}110+
8th AvenueAll÷20{\displaystyle \div 20}+9{\displaystyle +9}
9th AvenueAll÷20{\displaystyle \div 20}+13{\displaystyle +13}
10th AvenueAll÷20{\displaystyle \div 20}+14{\displaystyle +14}
11th AvenueAll÷20{\displaystyle \div 20}+15{\displaystyle +15}
Amsterdam AvenueAll÷20{\displaystyle \div 20}+59{\displaystyle +59}
Audubon AvenueAll÷20{\displaystyle \div 20}+165{\displaystyle +165}
Columbus AvenueAll÷20{\displaystyle \div 20}+60{\displaystyle +60}[3]
Broadway1–754(few numbered streets south of 8th)
Broadway756–846÷20{\displaystyle \div 20}29{\displaystyle -29}8.8–13.3
Broadway847–953÷20{\displaystyle \div 20}25{\displaystyle -25}17.35–22.65
BroadwayAbove 953÷20{\displaystyle \div 20}31{\displaystyle -31}16.65+
Central Park WestAll÷10{\displaystyle \div 10}+60{\displaystyle +60}
Convent AvenueAll÷20{\displaystyle \div 20}+127{\displaystyle +127}
East End AvenueAll÷20{\displaystyle \div 20}+79{\displaystyle +79}
Edgecombe AvenueAll÷20{\displaystyle \div 20}+134{\displaystyle +134}
Ft. Washington AvenueAll÷20{\displaystyle \div 20}+158{\displaystyle +158}
Lenox AvenueAll÷20{\displaystyle \div 20}+110{\displaystyle +110}
Lexington AvenueAll÷20{\displaystyle \div 20}+22{\displaystyle +22}
Madison AvenueAll÷20{\displaystyle \div 20}+27{\displaystyle +27}
Manhattan AvenueAll÷20{\displaystyle \div 20}+100{\displaystyle +100}
Park AvenueAll÷20{\displaystyle \div 20}+34{\displaystyle +34}
Park Avenue SouthAll÷20{\displaystyle \div 20}+8{\displaystyle +8}
Pleasant AvenueAll÷20{\displaystyle \div 20}+101{\displaystyle +101}
Riverside Drive1–567÷10{\displaystyle \div 10}+72{\displaystyle +72}72.1–128.7
Riverside DriveAbove 567÷10{\displaystyle \div 10}+78{\displaystyle +78}134.7+
St. Nicholas AvenueAll÷20{\displaystyle \div 20}+110{\displaystyle +110}
Vanderbilt AvenueAll÷20{\displaystyle \div 20}+42{\displaystyle +42}
Wadsworth AvenueAll÷20{\displaystyle \div 20}+173{\displaystyle +173}
West End AvenueAll÷20{\displaystyle \div 20}+59{\displaystyle +59}
York AvenueAll÷20{\displaystyle \div 20}+4{\displaystyle +4}

For the north–south avenues, there are typically 20 address numbers between consecutive east–west streets (10 on either side of the avenue). A standardland lot on each avenue was originally 20 feet (6.1 m) wide,[4] and there is about 200 feet (61 m) between each pair of east–west streets, for ten land lots between each pair of streets.[5] The exceptions areRiverside Drive, as well asFifth Avenue andCentral Park West between 59th and 110th streets, which use a divisor of 10.[3] These avenues all have buildings only on one side of the street, with a park on the other side.[6]

The "tricky number" often corresponds to a street near the southern end of the avenue.[6] There are some notable exceptions:

  • York Avenue address numbers are continuations of Avenue A address numbers, since the avenue was originally called Avenue A.[7]
  • East End Avenue address numbers are continuations of Avenue B address numbers, since the avenue was originally called Avenue B.[7]
  • Sixth Avenue and Broadway start south ofHouston Street, the southern boundary of the Manhattan street numbering system.[6]
  • Although Park Avenue's southern terminus is at 32nd Street, a homeowner at 34th Street wanted the address "1 Park Avenue" (this was later changed).[8]

Examples

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For example, if you are at 62Avenue B,62÷203{\displaystyle 62\div 20\approx 3}, then add the "tricky number"3{\displaystyle 3} to give6{\displaystyle 6}. The nearest cross street to 62 Avenue B isEast 6th Street.

If you are at 78Riverside Drive,78÷108{\displaystyle 78\div 10\approx 8}, then add the "tricky number"72{\displaystyle 72} to give80{\displaystyle 80}. The nearest cross street to 78 Riverside Drive isWest 80th Street.

If you are at 5015th Avenue,501÷2025{\displaystyle 501\div 20\approx 25}, then add the "tricky number"18{\displaystyle 18} to give43{\displaystyle 43}. The nearest cross street to 501 5th Avenue is actually42nd Street, not43rd Street, as the Manhattan address algorithm only gives approximate answers.

See also

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References

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  1. ^"Street Locator for New York City".www.ny.com. RetrievedApril 22, 2024.
  2. ^"Neighborhoods in Brief in New York City | Frommer's".www.frommers.com. RetrievedApril 22, 2024.
  3. ^abc"Address Finder; Arithmetic of the Avenues".The New York Times. September 27, 1998. RetrievedSeptember 1, 2015.
  4. ^Ballon, Hilary, ed. (2013).The Greatest Grid: The Master Plan of Manhattan 1811-2011. New York:Museum of the City of New York andColumbia University Press. p. 87.ISBN 978-0-231-15990-6.
  5. ^Morris, Gouverneur,De Witt, Simeon, andRutherford, John [sic] (March 1811)"Remarks Of The Commissioners For Laying Out Streets And Roads In The City Of New York, Under The Act Of April 3, 1807". Accessed May 7, 2008.
  6. ^abcFor a map of address numbers, see:"NYCityMap".NYC.gov.New York City Department of Information Technology and Telecommunications.Archived from the original on May 24, 2015. RetrievedMarch 20, 2020.
  7. ^abHughes, C. J. (June 25, 2013)."East End Avenue: A Gated State of Mind".The New York Times.ISSN 0362-4331. RetrievedJuly 1, 2025.
  8. ^Gray, Christopher (November 7, 2008)."History Lessons by the Numbers".The New York Times.ISSN 0362-4331. RetrievedJuly 1, 2025.
North–south
Major avenues
Financial District
Lower East Side
Lower West Side
East Village /Gramercy
Midtown
Upper East /Upper West
Harlem /Wash. Hts.
East–west
Financial District
Downtown
Midtown
Uptown
Intersections
Circles
Squares
  • 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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