255 (number)

Source: Wikipedia, the free encyclopedia.
← 254 255 256 →
Cardinaltwo hundred fifty-five
Ordinal255th
(two hundred fifty-fifth)
Factorization3 × 5 × 17
Greek numeralΣΝΕ´
Roman numeralCCLV
Binary111111112
Ternary1001103
Senary11036
Octal3778
Duodecimal19312
HexadecimalFF16

255 (two hundred [and] fifty-five) is the natural number following 254 and preceding 256.

In mathematics

Its factorization makes it a

Mersenne number[2] (though not a pernicious one), and the fourth such number not to be a prime number. It is a perfect totient number
, the smallest such number to be neither a power of three nor thrice a prime.

Since 255 is the product of the first three

Fermat primes, the regular 255-gon is constructible
.

In base 10, it is a self number.

255 is a repdigit in base 2 (11111111), in base 4 (3333), and in base 16 (FF).

In computing

255 is a special number in some tasks having to do with computing. This is the maximum value representable by an eight-digit

0 to 255, which is 256
total values.

For example, 255 is the maximum value of

The use of eight bits for storage in older video games has had the consequence of it appearing as a hard limit in many video games. For example, in the original

kill screen" seen after clearing level 255 of Pac-Man.[4]

This number could be interpreted by a computer as

−1 if a programmer is not careful about which 8-bit values are signed and unsigned, and the two's complement
representation of −1 in a signed byte is equal to that of 255 in an unsigned byte.

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A007304 (Sphenic numbers: products of 3 distinct primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ "PDF" (PDF). American Mathematical Society. Retrieved 12 March 2015.
  3. ^ Hoovler, Evan. "The History of Annoying Side-Quests in Videogames Archived 2010-04-10 at the Wayback Machine." GameSpy. 2009-12-04.
  4. ^ Clewett, James. "255 and Pac-Man". Numberphile. 2007-17-11.