256


256 < 255 \| 257 >

All Numbers
200	201	202	203	204	205	206	207	208	209
210	211	212	213	214	215	216	217	218	219
220	221	222	223	224	225	226	227	228	229
230	231	232	233	234	235	236	237	238	239
240	241	242	243	244	245	246	247	248	249
250	251	252	253	254	255	256	257	258	259
260	261	262	263	264	265	266	267	268	269
270	271	272	273	274	275	276	277	278	279
280	281	282	283	284	285	286	287	288	289
290	291	292	293	294	295	296	297	298	299

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[]

Its factors are 1, 2, 4, 8, 16, 32, 64, 128 and 256, making it a composite number.^[10]^[11]^[12]
256 is an even number^[13]^[14].
256 is an unhappy number.^[15]^[16]

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	H_ω(128)	H_ω(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]

Sources[]

↑ https://www.youtube.com/watch?v=umYvFdU54Po
↑ https://en.wikipedia.org/wiki/Pac-Man#Kill_screen
↑ Cockburn, Alistair. A fuga really big numbers (archived 2016-04-11).
↑ Saibian, Sbiis. The Fz, The Fuga & The Megafuga. Retrieved 2021-07-22.
↑ Cookiefonster. 2.5A. Googological prefixes and suffixes - Pointless Large Number Stuff. Retrieved 2021-07-22.
↑ Part 1 (LAN) - Aarex Googology
↑ https://sites.google.com/view/wlargenumbers/mixed-arrow-notation Retrieved 1/19/2021 6:23 PM EST
↑ BlankEntity's Googology - Celtchar of New World (Retrieved 31 July, 2022)
↑ binary googology stage 1 (retrieved 2024-12-08)
↑ OEIS A002808 - Composite numbers
↑ Wolfram Alpha Is 256 composite?
↑ Wolfram Alpha 256's factors
↑ OEIS A005843 - Even numbers
↑ Wolfram Alpha Is 256 even?
↑ Wolfram Alpha Unhappy Numbers
↑ OEIS A031177 - Unhappy Numbers
↑ OEIS A016754 - Centered octagonal numbers
↑ OEIS A005100 - Deficient numbers

See also[]

Large numbers in computers

Main article: Numbers in computer arithmetic

127 · 128 · 256 · 32767 · 32768 · 65536 · 2147483647 · 4294967296 · 9007199254740991 · 9223372036854775807 · FRACTRAN catalogue numbers
Bignum Bakeoff contestants: pete-3.c · pete-9.c · pete-8.c · harper.c · ioannis.c · chan-2.c · chan-3.c · pete-4.c · chan.c · pete-5.c · pete-6.c · pete-7.c · marxen.c · loader.c
Channel systems: lossy channel system · priority channel system
Concepts: Recursion

Numbers named with the fuga- family of prefixes

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

Tiaokhiao's circle notation numbers

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

[1] ttps://www.youtube.com/watch?v=umYvFdU54Po

[2] ttps://en.wikipedia.org/wiki/Pac-Man#Kill_screen

[3] Cockburn, Alistair. A fuga really big numbers (archived 2016-04-11).

[4] Saibian, Sbiis. The Fz, The Fuga & The Megafuga. Retrieved 2021-07-22.

[5] Cookiefonster. 2.5A. Googological prefixes and suffixes - Pointless Large Number Stuff. Retrieved 2021-07-22.

[6] Part 1 (LAN) - Aarex Googology

[7] ttps://sites.google.com/view/wlargenumbers/mixed-arrow-notation Retrieved 1/19/2021 6:23 PM EST

[8] BlankEntity's Googology - Celtchar of New World (Retrieved 31 July, 2022)

[9] ry googology stage 1 (retrieved 2024-12-08)

[10] OEIS A002808 - Composite numbers

[11] Wolfram Alpha Is 256 composite?

[12] Wolfram Alpha 256's factors

[13] OEIS A005843 - Even numbers

[14] Wolfram Alpha Is 256 even?

[15] Wolfram Alpha Unhappy Numbers

[16] OEIS A031177 - Unhappy Numbers

[17] OEIS A016754 - Centered octagonal numbers

[18] OEIS A005100 - Deficient numbers

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]