# 65,535

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Cardinal | sixty-five thousand five hundred thirty-five | |||

Ordinal |
65535th (sixty-five thousand five hundred thirty-fifth) | |||

Factorization | 3 × 5 × 17 × 257 | |||

Divisors | 16 total | |||

Greek numeral | ͵εφλε´ | |||

Roman numeral | LXVDXXXV | |||

Binary |
1111111111111111_{2} | |||

Ternary |
10022220020_{3} | |||

Quaternary |
33333333_{4} | |||

Quinary |
4044120_{5} | |||

Senary |
1223223_{6} | |||

Octal |
177777_{8} | |||

Duodecimal |
31B13_{12} | |||

Hexadecimal |
FFFF_{16} | |||

Vigesimal |
83GF_{20} | |||

Base 36 |
1EKF_{36} |

**65535** is the integer after 65534 and before 65536.

## In mathematics[edit]

65535 is the product of the first four Fermat primes: 65535 = (2 + 1)(4 + 1)(16 + 1)(256 + 1). Because of this property, it is possible to construct with compass and straightedge a regular polygon with 65535 sides. See constructible polygon.

65535 is the 15th 626-gonal number, the 5th 6555-gonal number, the 3rd 21846-gonal number.

## In computing[edit]

**65535**occurs frequently in the field of computing because it is (one less than 2 to the 16th power), which is the highest number that can be represented by an unsigned 16-bit binary number. Some computer programming environments may have predefined constant values representing 65535, with names like`MAX_UNSIGNED_SHORT`

.- In older computers with processors having a 16-bit address bus (such as the MOS Technology 6502 and the Zilog Z80), 65535 (FFFF
_{16}) is the highest addressable memory location, with 0 (0000_{16}) being the lowest. Such processors thus support at most 64 KiB of total byte-addressable memory. - In Internet protocols, 65535 is also the number of TCP and UDP ports available for use, since port 0 is reserved.
- A Java class or interface can have at most 65535 methods. The code of a constructor in Java is limited to 65535 bytes.
- The JavaScript (AKA ECMAScript) method .charCodeAt() will return a number which corresponds with the index of the passed parameter with a maximum possible value of 65535.
- In some implementations of Tiny BASIC, entering a command that divides any number by zero will return 65535.
- In an unpatched version of Microsoft Excel 2007, many mathematical computations evaluating to 65535 will display incorrectly. For example,
`=850*77.1`

displays as 100000 rather than 65535. Microsoft reports^{[1]}this to be a display-only bug for only 6 floating point numbers near 65535 and 65536. These display issues do not occur in editions of Excel that have been updated to Office 2007 service pack 2. - In Microsoft Word 2011 for Mac, 65535 is the highest line number that will be displayed.

## See also[edit]

## References[edit]

**^**Microsoft Excel: Calculation Issue Update Archived 2007-10-06 at the Wayback Machine.