# 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.

## 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 | $\div 20$ | $+60$ | |
| Broadway | 1–754 | (few numbered streets south of 8th) | (few numbered streets south of 8th) | (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.