65535 (number)

(Redirected from 65535)
 ← 65534 65535 65536 →
Cardinal sixty-five thousand five hundred and thirty-five
Ordinal 65535th
(sixty-five thousand five hundred and thirty-fifth)
Factorization 3 · 5 · 17 · 257
Divisors 16 total
Roman numeral LXVDXXXV
Binary 11111111111111112
Ternary 100222200203
Quaternary 333333334
Octal 1777778
Duodecimal 31B1312
Vigesimal 83GF20
Base 36 1EKF36

65535 is the integer after 65534 and before 65536.

In mathematics

65535 is a Mersenne number, being $2^{16}-1$. It 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

65535 is a frequently occurring number in the field of computing because it is the highest number which can be represented by an unsigned 16 bit binary number. Some computer programming environments may have pre-defined constant values representing 65535, with names like "MAX_UNSIGNED_SHORT". In older computers with processors operating with a 16-bit address bus (such as the MOS Technology 6502 and the Zilog Z80), 65535 was the highest addressable memory location. Such processors thus supported at most 64 kibibytes (64 KiB) of total memory. Of course, this is assuming byte-addressed memory. In Internet protocols, 65535 is also the number of TCP and UDP ports available at an IP address, since port 0 is reserved.

A Java class or interface can have, at maximum, 65535 number of methods. The code of a constructor in Java is limited to 65535 bytes. In some implementations of Tiny BASIC, inputting 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.

65535 is also the limit for many player variables in video games, such as attack damage in the game "StarCraft", experience points in Dragon Warrior, character stats for Mu Online, maximum enchant of items in Lineage 2, maximum enemy HP in Final Fantasy IX, money carried in Phantasy Star and Dark Cloud, elemental attribute points in "Castlevania: Order of Ecclesia", score in Star Wars: TIE Fighter, several limits in Harvest Moon DS, the maximum experience per level in Devil Survivor, the maximum amount of saved fights in The World Ends with You, the trainer's maximum possible ID number in the Pokémon series, the maximum item stack number in RuneScape Classic, and the health points of the final boss in Legend of Legaia.