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Manhattan address algorithm

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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.

Contents

• Algorithm

• Examples

• See also

• References

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:cite-ref-1[1]cite-ref-2[2]cite-ref-nyt-3-0[3]

|---|---|---|---|---|

| Avenue A | All | ÷ 20 {\displaystyle \div 20} | + 3 {\displaystyle +3} | |

| Avenue B | All | ÷ 20 {\displaystyle \div 20} | + 3 {\displaystyle +3} | |

| Avenue C | All | ÷ 20 {\displaystyle \div 20} | + 3 {\displaystyle +3} | |

| Avenue D | All | ÷ 20 {\displaystyle \div 20} | + 3 {\displaystyle +3} | |

| 1st Avenue | All | ÷ 20 {\displaystyle \div 20} | + 3 {\displaystyle +3} | |

| 2nd Avenue | All | ÷ 20 {\displaystyle \div 20} | + 3 {\displaystyle +3} | |

| 3rd Avenue | All | ÷ 20 {\displaystyle \div 20} | + 10 {\displaystyle +10} | |

| 4th Avenue | All | ÷ 20 {\displaystyle \div 20} | + 8 {\displaystyle +8} | |

| 5th Avenue | 63–108 | ÷ 20 {\displaystyle \div 20} | + 11 {\displaystyle +11} | 14.15–16.4 |

| 5th Avenue | 109–199 | ÷ 20 {\displaystyle \div 20} | + 13 {\displaystyle +13} | 18.45–23 |

| 5th Avenue | 200–399 | ÷ 20 {\displaystyle \div 20} | + 16 {\displaystyle +16} | 26.05–36 |

| 5th Avenue | 400–599 | ÷ 20 {\displaystyle \div 20} | + 18 {\displaystyle +18} | 38.05–48 |

| 5th Avenue | 600–774 | ÷ 20 {\displaystyle \div 20} | + 20 {\displaystyle +20} | 50.05–58.75 |

| 5th Avenue | 775–1286 | ÷ 10 {\displaystyle \div 10} | − 18 {\displaystyle -18} | 59.6–110.6 |

| 5th Avenue | 1287–1499 | ÷ 20 {\displaystyle \div 20} | + 45 {\displaystyle +45} | 110–120 |

| 5th Avenue | Above 1500 | ÷ 20 {\displaystyle \div 20} | + 24 {\displaystyle +24} | 124+ |

| 6th Avenue / Avenue of the Americas | All | ÷ 20 {\displaystyle \div 20} | − 12 {\displaystyle -12} | |

| 7th Avenue | 1–1800 | ÷ 20 {\displaystyle \div 20} | + 12 {\displaystyle +12} | 12.05–102 |

| 7th Avenue | Above 1800 | ÷ 20 {\displaystyle \div 20} | + 20 {\displaystyle +20} | 110+ |

| 8th Avenue | All | ÷ 20 {\displaystyle \div 20} | + 9 {\displaystyle +9} | |

| 9th Avenue | All | ÷ 20 {\displaystyle \div 20} | + 13 {\displaystyle +13} | |

| 10th Avenue | All | ÷ 20 {\displaystyle \div 20} | + 14 {\displaystyle +14} | |

| 11th Avenue | All | ÷ 20 {\displaystyle \div 20} | + 15 {\displaystyle +15} | |

| Amsterdam Avenue | All | ÷ 20 {\displaystyle \div 20} | + 59 {\displaystyle +59} | |

| Audubon Avenue | All | ÷ 20 {\displaystyle \div 20} | + 165 {\displaystyle +165} | |

| Columbus Avenue | All | ÷ 20 {\displaystyle \div 20} | + 60 {\displaystyle +60} [ 3 ] | |

| Broadway | 756–846 | ÷ 20 {\displaystyle \div 20} | − 29 {\displaystyle -29} | 8.8–13.3 |

| Broadway | 847–953 | ÷ 20 {\displaystyle \div 20} | − 25 {\displaystyle -25} | 17.35–22.65 |

| Broadway | Above 953 | ÷ 20 {\displaystyle \div 20} | − 31 {\displaystyle -31} | 16.65+ |

| Central Park West | All | ÷ 10 {\displaystyle \div 10} | + 60 {\displaystyle +60} | |

| Convent Avenue | All | ÷ 20 {\displaystyle \div 20} | + 127 {\displaystyle +127} | |

| East End Avenue | All | ÷ 20 {\displaystyle \div 20} | + 79 {\displaystyle +79} | |

| Edgecombe Avenue | All | ÷ 20 {\displaystyle \div 20} | + 134 {\displaystyle +134} | |

| Ft. Washington Avenue | All | ÷ 20 {\displaystyle \div 20} | + 158 {\displaystyle +158} | |

| Lenox Avenue | All | ÷ 20 {\displaystyle \div 20} | + 110 {\displaystyle +110} | |

| Lexington Avenue | All | ÷ 20 {\displaystyle \div 20} | + 22 {\displaystyle +22} | |

| Madison Avenue | All | ÷ 20 {\displaystyle \div 20} | + 27 {\displaystyle +27} | |

| Manhattan Avenue | All | ÷ 20 {\displaystyle \div 20} | + 100 {\displaystyle +100} | |

| Park Avenue | All | ÷ 20 {\displaystyle \div 20} | + 34 {\displaystyle +34} | |

| Park Avenue South | All | ÷ 20 {\displaystyle \div 20} | + 8 {\displaystyle +8} | |

| Pleasant Avenue | All | ÷ 20 {\displaystyle \div 20} | + 101 {\displaystyle +101} | |

| Riverside Drive | 1–567 | ÷ 10 {\displaystyle \div 10} | + 72 {\displaystyle +72} | 72.1–128.7 |

| Riverside Drive | Above 567 | ÷ 10 {\displaystyle \div 10} | + 78 {\displaystyle +78} | 134.7+ |

| St. Nicholas Avenue | All | ÷ 20 {\displaystyle \div 20} | + 110 {\displaystyle +110} | |

| Vanderbilt Avenue | All | ÷ 20 {\displaystyle \div 20} | + 42 {\displaystyle +42} | |

| Wadsworth Avenue | All | ÷ 20 {\displaystyle \div 20} | + 173 {\displaystyle +173} | |

| West End Avenue | All | ÷ 20 {\displaystyle \div 20} | + 59 {\displaystyle +59} | |

| York Avenue | All | ÷ 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 standard land lot on each avenue was originally 20 feet (6.1 m) wide,cite-ref-4[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.cite-ref-remarks-5-0[5] The exceptions are Riverside Drive, as well as Fifth Avenue and Central Park West between 59th and 110th streets, which use a divisor of 10.cite-ref-nyt-3-2[3] These avenues all have buildings only on one side of the street, with a park on the other side.cite-ref-nycitymap2-6-0[6]

The "tricky number" often corresponds to a street near the southern end of the avenue.cite-ref-nycitymap2-6-1[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.cite-ref-0-7-0[7]

• East End Avenue address numbers are continuations of Avenue B address numbers, since the avenue was originally called Avenue B.cite-ref-0-7-1[7]

• Sixth Avenue and Broadway start south of Houston Street, the southern boundary of the Manhattan street numbering system.cite-ref-nycitymap2-6-2[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).cite-ref-8[8]

Examples

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

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

If you are at 501 5th Avenue, 501 ÷ ÷ 20 ≈ ≈ 25 {\displaystyle 501\div 20\approx 25} , then add the "tricky number" 18 {\displaystyle 18} to give 43 {\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.