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256 (two hundred fifty-six) is a positive integer equal to \(2^{8} = 2^{2^3}\).

It is found commonly in computer science, being the the number of different values expressible in 8 bits (a byte). For that reason internally stored values in a game which are not programmed to exceed a byte encounter an overflow and may either loop back to a value of 0 or glitch an aspect of the game. One instance of this is in the classic arcade game Pac-Man, which glitches out after level 255.[1][2]

This number is equal to \(2\downarrow\downarrow4\) in down-arrow notation.

Alistair gave "fzfour", which equals this number, as an example after introducing his fz- prefix to his children, since it is equal to 44.[3][4][5]

Aarex Tiaokhiao calls this number hexadecimal-booiol and maser.[6]

IsTakenIsTaken calls this number biudutremix, and it is equal to 2↑↓↑3 in Mixed arrow notation.[7]

BlankEntity calls this number jói sá fjórði, and it's the 42nd number of Celtchar of New World. [8]

Oganso uses the name byte for this number.[9]

Properties[]

  • 256 is a centered octagonal number.[17]
  • 256 is deficient.[18]
  • Its prime factorization is 28.


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 16 ↑ 2
Scientific notation \(2.56\times10^2\) \(2.561\times10^2\)
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 2[3] 3[3]
Chained arrow notation 16 → 2
Bowers' Exploding Array Function/Bird's array notation {16,2}
Fast-growing hierarchy f2(5) f2(6)
Hardy hierarchy Hω(128) Hω(128)
Middle-growing hierarchy m(ω,8) m(ω,8)
Hyper-E notation E2.4082
Hyper-E notation (non-10 base) \(E[16]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 16{1}2
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.2) H(-0.1)
Bashicu matrix system with respect to version 4 (0)[16] (0)[16]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(127)\) \(s(1)(\lambda x . x+1)(128)\)

Sources[]



See also[]

Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · garmillion · gargoogol · gareceton · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzthirty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex · megafugagrangol
Extensions:
Booga-:: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten · boogahundred · boogagoogol · boogagoogolplex
Gag-:: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex

Mega series: Mega · A-ooga (Megision) · Megisiduon · Megisitruon · Megisiquadruon
Grand Mega series: Grand Mega · Grand Megision · Grand Megisiduon (A-oogra) · Grand Megisitruon · Grand Megisiquadruon
Great Mega series: Great Mega · Great Megision · Great Megisiduon · Great Megisitruon (A-oogrea) · Great Megisiquadruon
Gong Mega series: Gong Mega · Gong Megision · Gong Megisiduon · Gong Megisitruon · Gong Megisiquadruon (A-oogonga)
Hexomega series: Hexomega · Hexomegision · Hexomegisiduon · Hexomegisitruon · Hexomegisiquadruon · Hexomegisiquinton (A-oohexa)
Heptomega series: Heptomega · A-oohepta (Heptomegisisexton) · Octomega · A-oocta · Nonomega · A-ooennea
Megistron series: Megiston (Megistron) · Megisiplextron · Megisiduplextron · Megisitriplextron · Megisiquadruplextron · A-oomega (Megisienneaplextron)
A-ooga series: A-ooga · Betomega (A-oogatiplex) · A-oogatiduplex · A-oogatitriplex · A-oogatiquadruplex · A-oogatiquintiplex
A-oogra series: A-oogra · A-oogratiplex · Betogiga (A-oogratiduplex) · A-oogratitriplex · A-oogratiquadruplex · A-oogratiquintiplex
A-oogrea series: A-oogrea · A-oogreatiplex · A-oogreatiduplex · Betotera (A-oogreatitriplex) · A-oogreatiquadruplex · A-oogreatiquintiplex
A-oogonga series: A-oogonga · A-oogongatiplex · A-oogongatiduplex · A-oogongatitriplex · Betopeta (A-oogongatiquadruplex) · A-oogongatiquintiplex
A-oohexa series: A-oohexa · A-oohexatiplex · A-oohexatiduplex · A-oohexatitriplex · A-oohexatiquadruplex · Betoexa (A-oohexatiquintiplex)
A-oohepta series: A-oohepta · Betozetta (A-ooheptatisextiplex) · A-oocta · Betoyotta · A-ooennea · Betoxota
A-oomega series: A-oomega · A-oomegatiplex · A-oomegatiduplex · A-oomegatitriplex · A-oomegatiquadruplex · Betodaka (A-oomegatienneaplex)
Betomega series: Betomega · Flexinega (Brantomega) · Breatomega · Bigiatomega · Biquadriatomega · Biquintiatomega
Betogiga series: Betogiga · Brantogiga · Flexitria (Breatogiga) · Bigiatogiga · Biquadriatogiga · Biquintiatogiga
Betotera series: Betotera · Brantotera · Breatotera · Flexitera (Bigiatotera) · Biquadriatotera · Biquintiatotera
Betopeta series: Betopeta · Brantopeta · Breatopeta · Bigatopeta · Flexipera (Biquadriatopeta) · Biquintiatopeta
Betoexa series: Betoexa · Brantoexa · Breatoexa · Bigatoexa · Biquadriatoexa · Flexiexa (Biquintiatoexa)
Betozetta series: Betozetta · Flexizetta · Betoyotta · Betoxota · Betodaka
Flexinega series: Flexinega · Oktia (Fainega) · Funnynega · Ftetrinega · Fpentinega · Fhexinega
Flexitria series: Flexitria · Faitria · Oktria (Funnytria) · Ftetritria · Fpentitria · Fhexitria
Flexitera series: Flexitera · Faitera · Funnytera · Oktetra (Ftetritera)
Moser series: Moser · Grand Moser · Great Moser · Gong Moser
Maser series: Maser · Miser (Killaser) · Meser · Muser

Oganso's googology

Penku stage: Two · Four · Nybble · Byte · Short · Int · Long · Overos · Überos · Yfiros · Superos · Hyperos · Ultralos · Hellos · Terolos · Plenolos · Penku

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