Numberwise

666

666 is the number called the 'number of the beast' in the Book of Revelation, where some early manuscripts instead read 616.

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Where 666 fits

Where 666 fits: Mathematics, Culture & belief, Related numbersMathematics: Triangular number, Palindromic number, Repdigit, Harshad (Niven) number. Culture & belief: Culture and belief, "Number of the Beast" (Book of Revelation). Related numbers: 616, 13, 1982, 777.MathematicsTriangular numberPalindromic numberRepdigitHarshad (Niven) numberCulture & beliefCulture and belief"Number of the Beast" (Book…Related numbers616131982777666
666 connects to 3 worlds: mathematics, culture & belief, related numbers.

Why 666 is special

666's notoriety comes from four verses of Revelation and everything built on them since — including a US highway renumbered in 2003 to escape the association. Its arithmetic is quietly better than its reputation suggests: it is the 36th triangular number, which is also why a roulette wheel numbered 0 to 36 adds up to it, and it is the sum of the squares of the first seven primes.

666 connects to:

  • numbers in culture and belief appears in
  • 616 contrasts with
  • number of the beast is associated with
  • 13 is associated with
  • 1982 is associated with
  • 777 contrasts with

Same number, different meanings

How 666 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (12)
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Prime factorisation
2 × 3^2 × 37
Digit sum
18
Digital root
9

Representations

Decimal
666
Scientific notation
6.660 × 10^2

Roman numerals

D C L X V I

Binary

1 0 1 0 0 1 1 0 1 0

1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 666

Octal

1 2 3 2

1 × 512 + 2 × 64 + 3 × 8 + 2 × 1 = 666

Hexadecimal

2 9 a

2 × 256 + 9 × 16 + a × 1 = 666

Read as powers of two: 512 + 128 + 16 + 8 + 2 = 666.

In historical numeral systems

Egyptian

6 coils of rope, 6 hobbles, 6 strokes

6 × 100 + 6 × 10 + 6 × 1 = 666. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 corner wedge + 1 vertical wedge (sixties place), 6 vertical wedges (units place)

11 × 60 + 6 = 666. Places are separated by a space on the tablet, with the higher place written first.

Greek (Ionic)

chi, then xi, then stigma, marked as a numeral

chi-xi-stigma + keraia

chi + xi + stigma written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.

Hebrew numerals

tav, then resh, then samekh, then vav

tav-resh-samekh-vav

tav (400) + resh (200) + samekh (60) + vav (6) = 666, written in descending order.

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

Related numbers & connections

Documented appearance
666 appears in Numbers in culture and belief, the topic covering numbers that carry a documented cultural fact.

666 appears in Numbers in culture and belief, the topic covering numbers that carry a documented cultural fact.

Connection
The oldest surviving fragment of Revelation gives 616, and both readings are attested in antiquity.

The oldest surviving fragment of Revelation gives 616, and both readings are attested in antiquity.

View 616

Numbers Around Us

  • appears inCulture and belief
    why?

    Strength 0.50, confidence "high".

Other connections

  • contrasts with616
    why?

    Strength 0.50, confidence "high".

  • is associated with"Number of the Beast" (Book of Revelation)
    why?

    Strength 0.50, confidence "high".

  • is associated with13
    why?

    Strength 0.50, confidence "high".

  • is associated with1982
    why?

    Strength 0.50, confidence "high".

  • contrasts with777
    why?

    Strength 0.50, confidence "medium".

How is 666 connected to another number? →

History

  • The oldest surviving fragment of Revelation, Papyrus 115, gives the number as 616 rather than 666. Both readings are attested in antiquity, and the variant is generally explained by different transliterations of the same name into Hebrew letters.

    DocumentedHistoryGeography: Eastern Mediterranean manuscript traditionPeriod: 3rd century–
  • Many biblical scholars read 666 as a gematria — a sum of Hebrew letter values — encoding 'Neron Caesar', which would make the passage a veiled reference to the emperor Nero rather than a prophecy about a future figure. The variant reading 616 found in some manuscripts fits the alternative spelling 'Nero Caesar', which is often cited as support. This is a scholarly interpretation of the text, widely held but not universally accepted.

    DocumentedHistoryPeriod: 1st century CE

Culture

  • Avoidance of 666 shows up in concrete public decisions, not only in folklore: in 2003 the United States highway numbered 666 — a branch of Route 66 nicknamed the 'Devil's Highway' — was formally renumbered 491 after requests from residents and state officials who objected to the association.

    DocumentedCultureGeography: United States (Arizona, Colorado, New Mexico, Utah)Period: 2003

Everyday life

  • The numbers on a European roulette wheel run 0 to 36 and add up to 666, which is the same triangular-number fact as 666 being the sum of 1 to 36 — the zero contributes nothing. The coincidence gave rise to the wheel's nickname as 'the devil's game', a piece of casino folklore rather than anything about its origin: the modern layout is generally credited to eighteenth-century France and no contemporary source connects the total to the name.

    Widely documentedEveryday life

Religion & belief

  • In the Book of Revelation, the number of the beast is given as six hundred and sixty-six. Some early manuscripts, including Papyrus 115, read 616. The most widely held scholarly reading is gematria for Nero Caesar written in Hebrew letters, which also explains the variant: the Latin spelling gives 616. This is a scholarly account rather than the tradition's own framing.

    DocumentedReligion & beliefCulture: the Book of Revelation
  • 666 is referred to as the 'number of the beast' in the Book of Revelation (13:18) of the Christian New Testament; some early manuscripts instead give 616. Its later association with the occult and popular superstition is a separate, later cultural development distinct from the original text.

    DocumentedReligion & beliefCulture: Christian tradition

Media & popular culture

  • Iron Maiden's 1982 album took the number as its title, and it has since been used across heavy metal, horror film and branding as immediate shorthand. The commercial use is a deliberate inversion of the religious association.

    DocumentedMedia & popular cultureGeography: Widely used in Western popular culturePeriod: 1982–

Mathematics

  • 2² + 3² + 5² + 7² + 11² + 13² + 17² = 4 + 9 + 25 + 49 + 121 + 169 + 289 = 666. The identity is real and checkable, and it is a coincidence in the strict sense: no theorem connects the primes to this total, and taking six or eight primes gives nothing of interest. It is recorded here because it is genuinely surprising arithmetic, not because it means anything.

    DocumentedMathematics
  • 666 is the 36th triangular number: it is the sum of every whole number from 1 to 36 (36 × 37 ÷ 2 = 666). It is also a repdigit in base 10. Both are ordinary arithmetical properties, entirely independent of the number's religious associations.

    DocumentedMathematics

Common questions

Is the number of the beast 666 or 616?

Both readings are genuinely ancient. The oldest surviving fragment of Revelation, Papyrus 115, gives 616, and other early manuscripts give 666. The usual explanation is that the figure encodes a name in Hebrew letter values and the two readings match two spellings of the same one — 'Neron Caesar' gives 666 and 'Nero Caesar' gives 616. Most modern editions print 666 and note the variant.

Why does a roulette wheel add up to 666?

Because the numbers run 0 to 36, and 1 + 2 + … + 36 = 666 — the zero adds nothing. It is the same fact as 666 being the 36th triangular number. The wheel's nickname as 'the devil's game' comes from the coincidence, but no contemporary source connects the total to the layout's eighteenth-century French origin.

Is 666 a prime number?

No, 666 is not prime.

What are the factors of 666?

The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666.

What is 666 in Roman numerals?

666 in Roman numerals is DCLXVI.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 9 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026