4
4 is the smallest composite number, and is considered unlucky in Chinese, Japanese and Korean contexts.
Where 4 fits
Why 4 is special
4's mathematical simplicity (2²) contrasts with a well-documented, geographically specific unlucky association that Western tradition does not share.
4 connects to:
- 64 — is the cube of
- beryllium — has scientific association with
- human body biology facts — appears in
- numbers on earth — appears in
- numbers in physics — appears in
- numbers in space — appears in
- numbers and memory — appears in
- numbers in living things — appears in
Same number, different meanings
How 4 is understood across different contexts — never implying one meaning because of another.
- Mathematics
4's mathematical simplicity (2²) contrasts with a well-documented, geographically specific unlucky association that Western tradition does not share.
- Everyday life
There are 4 main blood groups in the ABO system (worldwide; frequencies differ sharply by population). A, B, AB and O, each either rhesus positive or negative. O negative is the universal donor for red cells because it carries none of the antigens the others would react to.
- History
Greek natural philosophy organised matter into four elements — earth, water, air and fire — a scheme set out by Empedocles and developed by Aristotle. It passed through Islamic scholarship into medieval European medicine and alchemy, where it was paired with the four humours, and it remained the dominant account of matter until early modern chemistry displaced it.
- Science
There are 4 bases in DNA (all known cellular life). Adenine, cytosine, guanine and thymine. Three bases specify one amino acid, which is why the genetic code has 64 codons for 20 amino acids and several spare.
- Technology & computing
There are about 4 billion addresses available in IPv4. Two to the power of 32, allocated out completely in 2011, which is why IPv6 exists.
- Culture
In Mandarin, Cantonese and other Chinese varieties, 4 (四, sì) is a near-homophone of the word for 'death' (死), leading to widespread avoidance of the number in building floor numbering, phone numbers and gifts across Chinese-speaking, and to a lesser extent Japanese and Korean, contexts.
- Religion & belief
In Hinduism, the Vedas are counted as four — Rigveda, Yajurveda, Samaveda and Atharvaveda. They were transmitted orally with extraordinary precision for centuries before being written down, using recitation schemes designed to make errors detectable.
- Geography
The age of the Earth is roughly 4 billion years. The accepted value is 4.54 billion, known to about one per cent. Dated from meteorites formed at the same time as the planet rather than from any Earth rock, because plate tectonics has recycled the oldest crust.
- Media & popular culture
There are 4 movements in a standard classical symphony (the Classical period; earlier and later symphonies vary). Fast, slow, dance, fast — a shape settled in Haydn's hands and broken freely afterwards. Several of the most performed symphonies have five movements or run their last two together.
Not just a mathematical number
4is also used in ways where ordinary arithmetic doesn't apply — each listed below with what genuinely does and doesn't follow from it.
- Mathematical number
A genuine quantity — its mathematical properties (prime, square, factors, and so on) are real facts about it.
A genuine quantity that ordinary arithmetic applies to — it can be prime, even, a perfect square, added to another number meaningfully, and so on.
- Quantity
Also used as a quantity — Adult human skeleton.
A genuine count or amount of something — closest to a pure mathematical number, but tied to what's being counted (12 eggs is a genuine amount of eggs, not an abstract mathematical fact about the number 12).
4 in Numbers Around Us
4 is part of
Factors & digit properties
- Divisors (3)
- 1, 2, 4
- Prime factorisation
- 2^2
- Digit sum
- 4
- Digital root
- 4
Representations
- Decimal
- 4
- Scientific notation
- 4.000 × 10^0
Roman numerals
I V
IV uses the subtractive pair IV: one before five — five minus one.
Binary
1 0 0
1 × 4 + 0 × 2 + 0 × 1 = 4
Octal
4
4 × 1 = 4
Hexadecimal
4
4 × 1 = 4
Read as powers of two: 4 = 4.
In historical numeral systems
Egyptian
4 strokes
4 × 1 = 4. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
4 vertical wedges
4 fits in a single sexagesimal place: 4 vertical wedges.
Greek (Ionic)
delta, marked as a numeral
delta + keraia
A single letter, delta, marked with a keraia to show it is a number rather than a word.
Hebrew numerals
dalet
dalet
Chinese numerals
sì
sì
The financial (anti-fraud) form is 肆.
Maya
4 dots
4 fits in the bottom place: 4 dots, since a bar is five and a dot is one.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Palindromic number
- Deficient number
- Powerful number
- Highly composite number
- Narcissistic (Armstrong) number
- Semiprime
- Harshad (Niven) number
- Lucas number
Related numbers & connections
64 is the cube of 4 (4³ = 64), making it the smallest number above 1 that is both a perfect square and a perfect cube.
View 64 →4 is the atomic number of beryllium.
DNA is built from 4 nucleotide bases — adenine, thymine, cytosine, and guanine (A, T, C, G) — whose pairings encode genetic information.
Mathematically related
- is the cube of64
why?
Strength 0.50, confidence "high".
Scientific association
- has scientific association withBeryllium (chemical element)
why?
Strength 0.50, confidence "high".
Numbers Around Us
- appears inHuman body biology facts
why?
Strength 0.50, confidence "high".
- appears inEarth
why?
Strength 0.50, confidence "high".
- appears inPhysics
why?
Strength 0.50, confidence "high".
- appears inSpace and astronomy
why?
Strength 0.50, confidence "high".
- appears inHow people handle numbers
why?
Strength 0.50, confidence "high".
- appears inLiving things
why?
Strength 0.50, confidence "high".
- appears inTransport
why?
Strength 0.50, confidence "high".
- appears inCulture and belief
why?
Strength 0.50, confidence "high".
- appears inPowers of two
why?
Strength 0.50, confidence "high".
- appears inAspect ratio standards
why?
Strength 0.50, confidence "high".
- appears inAdult human skeleton
why?
Strength 0.50, confidence "high".
- appears inMusical time signatures
why?
Strength 0.50, confidence "high".
Culturally related
- is considered unlucky inChinese-, Japanese- and Korean-speaking contexts
why?
Strength 0.50, confidence "high".
Other connections
- contrasts with13
why?
Strength 0.50, confidence "high".
Everyday life
There are 4 main blood groups in the ABO system (worldwide; frequencies differ sharply by population). A, B, AB and O, each either rhesus positive or negative. O negative is the universal donor for red cells because it carries none of the antigens the others would react to.
DocumentedEveryday lifeGeography: worldwide; frequencies differ sharply by populationThe temperature a domestic fridge should hold is below 4 degrees Celsius (United Kingdom guidance). The danger zone runs from about 8 to 63 degrees, so the target is set well under it rather than at its edge.
DocumentedEveryday lifeGeography: United Kingdom guidance
History
Greek natural philosophy organised matter into four elements — earth, water, air and fire — a scheme set out by Empedocles and developed by Aristotle. It passed through Islamic scholarship into medieval European medicine and alchemy, where it was paired with the four humours, and it remained the dominant account of matter until early modern chemistry displaced it.
DocumentedHistoryCulture: Greek, Islamic and medieval European natural philosophyPeriod: 5th century BCE – 17th century CE
Science
There are 4 bases in DNA (all known cellular life). Adenine, cytosine, guanine and thymine. Three bases specify one amino acid, which is why the genetic code has 64 codons for 20 amino acids and several spare.
DocumentedScienceGeography: all known cellular lifeThere are 4 chambers in the human heart (humans and other mammals and birds).
DocumentedScienceGeography: humans and other mammals and birdsThere are 4 items in working memory under stricter modern estimates (later cognitive research). Nelson Cowan's review argued the limit is closer to four when rehearsal and chunking are controlled for.
DocumentedScienceGeography: later cognitive researchTypically, there are 4 items people can count at a glance without counting them (subitizing, across studies). Beyond about four, response time rises with each additional item, which is the signature of counting rather than perceiving.
DocumentedScienceGeography: subitizing, across studiesThere are 4 limbs on a tetrapod (tetrapods, including amphibians, reptiles, birds and mammals). Wings, flippers and hands are all modifications of the same four-limbed body plan.
DocumentedScienceGeography: tetrapods, including amphibians, reptiles, birds and mammalsThere are 4 fundamental interactions known in physics (modern physics). Gravity, electromagnetism, and the strong and weak nuclear forces. Electromagnetism and the weak force are already understood as two aspects of one electroweak interaction, so the count is a description of current theory rather than of nature.
DocumentedScienceGeography: modern physicsThere are 4 Galilean moons of Jupiter (the Solar System). Io, Europa, Ganymede and Callisto, seen by Galileo in 1610. Jupiter's full moon count has been revised upward many times and will be again; these four are the durable answer.
DocumentedScienceGeography: the Solar SystemThere are 4 compartments in a cow's stomach (cattle and other ruminants). Usually described as four stomachs, and it is one stomach with four chambers — rumen, reticulum, omasum and abomasum. Only the last digests in the way a human stomach does; the others ferment.
DocumentedScienceGeography: cattle and other ruminantsThe distance to Proxima Centauri is about 4 light-years (the Solar neighbourhood). Light leaving it today arrives here in the mid-2020s plus four years, which is as close as another star gets.
DocumentedScienceGeography: the Solar neighbourhoodThe concrete produced per person each year is about 4 tonnes. Figure as of 2023. Concrete is the most used manufactured material on Earth by mass, and cement production accounts for roughly 8 per cent of global carbon dioxide emissions.
DocumentedScienceGeography: worldwideThere are about 4 billion tonnes of cement made worldwide annually. Figure as of 2023. Making it accounts for roughly seven per cent of global carbon dioxide emissions, most of that from the chemistry of the process rather than the fuel.
DocumentedScienceGeography: worldwideThe average distance from the Sun to Neptune is about 4 billion kilometres (the Solar System). 4.5 billion kilometres, thirty astronomical units. Neptune takes about 165 Earth years to go round once, so it has completed one orbit since its discovery in 1846.
DocumentedScienceGeography: the Solar SystemThe altitude of the International Space Station is about 4 hundred kilometres (low Earth orbit). Low enough that the remaining trace of atmosphere slows it down, so the station has to be boosted back up several times a year.
DocumentedScienceGeography: low Earth orbitThe power output of the Sun is about 4 × 10²⁶ watts (the Solar System). 3.8 × 10²⁶ watts, of which the Earth intercepts about half a billionth.
DocumentedScienceGeography: the Solar System4 is the atomic number of beryllium, a light, stiff metal that is transparent to X-rays — which is why it is used for the windows of X-ray tubes. Its dust is seriously toxic, so it is handled under tight controls.
DocumentedScience
Technology & computing
There are about 4 billion addresses available in IPv4. Two to the power of 32, allocated out completely in 2011, which is why IPv6 exists.
DocumentedTechnology & computingGeography: worldwideThere are 4 inks in the CMYK process used for most colour printing.
DocumentedTechnology & computingGeography: worldwideThere are 4 letters in an ICAO airport code (worldwide, ICAO). The codes used by air traffic control, and regionally structured where the IATA codes are not: the first letter is a world region, so every airport in the United Kingdom begins EG.
DocumentedTechnology & computingGeography: worldwide, ICAOThere are about 4 billion airline passenger journeys flown each year. Figure as of 2023. Journeys rather than people: a return trip with a connection counts as four. Somewhere between five and fifteen per cent of the world's population has ever flown.
DocumentedTechnology & computingGeography: worldwide
Culture
In Mandarin, Cantonese and other Chinese varieties, 4 (四, sì) is a near-homophone of the word for 'death' (死), leading to widespread avoidance of the number in building floor numbering, phone numbers and gifts across Chinese-speaking, and to a lesser extent Japanese and Korean, contexts.
Widely documentedCultureCulture: Chinese, Japanese and KoreanGeography: East AsiaFour beats to the bar is so dominant in Western popular music that 4/4 is called common time and can be written simply as C. Rock, pop and most dance music assume it, which is why a listener can usually clap along to an unfamiliar song without being told.
DocumentedCultureCulture: Western musical notation4 July is Independence Day, observed in the United States. Commemorates the adoption of the Declaration of Independence by the Second Continental Congress on 4 July 1776. The vote for independence itself was taken on 2 July; the 4th is the date on the adopted document.
DocumentedCultureGeography: the United StatesA superstition in Chinese-, Japanese- and Korean-speaking cultures holds that four is avoided because its spoken form is close to the word for death, and buildings often omit a fourth floor (East Asia and its diasporas). Tetraphobia is documented in building numbering, phone numbers, hospital rooms and product model numbers. The homophony is real in Mandarin, Cantonese, Japanese and Korean, which is why the avoidance crosses all four languages rather than following one. This is a scholarly account rather than the tradition's own framing.
Belief / interpretationCultureCulture: Chinese-, Japanese- and Korean-speaking culturesGeography: East Asia and its diasporasPresented as belief or tradition, not as an established fact.
Folklore in Irish and British folk belief holds that a four-leaf clover is said to bring luck, being a rare variant of a three-leaf plant. The rarity is real and roughly one in five thousand, which is unusual for a superstition: the thing said to be lucky is genuinely uncommon rather than merely designated. This is a scholarly account rather than the tradition's own framing.
Tradition / practiceCultureCulture: Irish and British folk beliefPresented as belief or tradition, not as an established fact.
Religion & belief
In Hinduism, the Vedas are counted as four — Rigveda, Yajurveda, Samaveda and Atharvaveda. They were transmitted orally with extraordinary precision for centuries before being written down, using recitation schemes designed to make errors detectable.
DocumentedReligion & beliefCulture: HinduismIn Buddhism, the teaching opens with four noble truths. Suffering, its origin, its cessation, and the path to its cessation. The fourth truth is itself the eightfold path, so the two counts are nested rather than alternatives.
Tradition / practiceReligion & beliefCulture: BuddhismPresented as belief or tradition, not as an established fact.
In Hinduism, life is divided into four stages and society described in four varnas. The ashramas are student, householder, forest-dweller and renunciant. The varna scheme is a textual category and maps only loosely onto jati, the thousands of actual endogamous groups — conflating the two is the commonest error made about it.
Tradition / practiceReligion & beliefCulture: HinduismPresented as belief or tradition, not as an established fact.
Geography
The age of the Earth is roughly 4 billion years. The accepted value is 4.54 billion, known to about one per cent. Dated from meteorites formed at the same time as the planet rather than from any Earth rock, because plate tectonics has recycled the oldest crust.
DocumentedGeographyGeography: worldwideThe highest wind speed recorded at the surface is about 4 hundred kilometres per hour (worldwide, excluding tornadoes). 408 km/h in a tropical cyclone at Barrow Island, Australia, in 1996. Tornado winds are estimated higher but are measured indirectly, by radar rather than by an instrument that survives.
DocumentedGeographyGeography: worldwide, excluding tornadoes
Media & popular culture
There are 4 movements in a standard classical symphony (the Classical period; earlier and later symphonies vary). Fast, slow, dance, fast — a shape settled in Haydn's hands and broken freely afterwards. Several of the most performed symphonies have five movements or run their last two together.
DocumentedMedia & popular cultureGeography: the Classical period; earlier and later symphonies vary4:3 — four units wide to three tall — was the standard screen shape for most of the twentieth century, inherited from 35mm silent film and carried into broadcast television and early computer displays. Its replacement by 16:9 widescreen is why archive television shows black bars at the sides on a modern set.
DocumentedMedia & popular culture
Mathematics
Four colours suffice to colour any map drawn on a plane so that no two regions sharing a border take the same colour. Stated in 1852 and unproved for over a century, the four colour theorem was settled by Appel and Haken in 1976 — the first major theorem whose proof depended on computer checking of cases, which made it contested on methodological grounds for years afterwards.
DocumentedMathematicsPeriod: 1852 – 1976
Common questions
Why is 4 written IV rather than IIII?
Subtractive notation: a smaller symbol before a larger one is subtracted, so IV is five minus one. IIII never disappeared entirely — it is still the conventional form on most clock faces, where it balances the VIII opposite it.
Why is 4 considered unlucky in parts of East Asia?
In Chinese, Japanese and Korean the word for four sounds close to the word for death. The avoidance is practical rather than abstract: buildings in the region often skip the fourth floor, and some products avoid four-item packs. The pattern is called tetraphobia, and it is regional rather than universal.
Is 4 a prime number?
No, 4 is not prime.
What are the factors of 4?
The factors of 4 are 1, 2, 4.
What is 4 in Roman numerals?
4 in Roman numerals is IV. IV is subtractive: one before five — five minus one. Written additively it would be IIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
Is 4 a lucky number?
4 is considered unlucky in Chinese-, Japanese- and Korean-speaking contexts — a documented cultural association, not a mathematical property.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 35 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026