65,535

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← 65534 65535 65536 →
List of numbers — Integers ← 0 10k 20k 30k 40k 50k 60k 70k 80k 90k →
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	${\displaystyle {\stackrel {\digamma }{\mathrm {M} }}}$͵εφλε´
Roman numeral	LXVDXXXV
Binary	11111111111111112
Ternary	100222200203
Octal	1777778
Duodecimal	31B1312
Hexadecimal	FFFF16

65535 is the integer after 65534 and before 65536.

In mathematics[]

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 sum of 2⁰ to 2¹⁵ (2⁰+2¹+2²...2¹⁵)

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

In computing[]

• 65535 occurs frequently in the field of computing because it is ${\displaystyle 2^{16}-1}$ (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 (FFFF₁₆) is the highest addressable memory location, with 0 (0000₁₆) 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.
• 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[]

• 4,294,967,295
• 255 (number)

References[]