Numberwise

621

621 BC is the year of Draco's law code in Athens.

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Where 621 fits

Where 621 fits: Mathematics, Everyday systems, Related numbersMathematics: Harshad (Niven) number, Lucky number (mathematical sieve). Everyday systems: Numbers assigned as identifiers. Related numbers: 627, 594, 950.MathematicsHarshad (Niven) numberLucky number (mathematical …Everyday systemsNumbers assigned as identif…Related numbers627594950621
621 connects to 3 worlds: mathematics, everyday systems, related numbers.

Why 621 is special

The penalties were so severe that the word draconian derives from his name. A later reformer replaced almost all of them, keeping only the homicide provisions.

621 connects to:

  • 627 appears alongside
  • assigned identifiers appears in
  • 594 developed from
  • 950 is associated with

Same number, different meanings

How 621 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (8)
1, 3, 9, 23, 27, 69, 207, 621
Prime factorisation
3^3 × 23
Digit sum
9
Digital root
9

Representations

Decimal
621
Scientific notation
6.210 × 10^2

Roman numerals

D C X X I

Binary

1 0 0 1 1 0 1 1 0 1

1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 621

Octal

1 1 5 5

1 × 512 + 1 × 64 + 5 × 8 + 5 × 1 = 621

Hexadecimal

2 6 d

2 × 256 + 6 × 16 + d × 1 = 621

Read as powers of two: 512 + 64 + 32 + 8 + 4 + 1 = 621.

In historical numeral systems

Egyptian

6 coils of rope, 2 hobbles, 1 stroke

6 × 100 + 2 × 10 + 1 × 1 = 621. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 corner wedge (sixties place), 2 corner wedges + 1 vertical wedge (units place)

10 × 60 + 21 = 621. Places are separated by a space on the tablet, with the higher place written first.

Greek (Ionic)

chi, then kappa, then alpha, marked as a numeral

chi-kappa-alpha + keraia

chi + kappa + alpha 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 kaf, then alef

tav-resh-kaf-alef

tav (400) + resh (200) + kaf (20) + alef (1) = 621, 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
Disodium guanylate is used with glutamate because the pair is far more effective than either alone.

Disodium guanylate is used with glutamate because the pair is far more effective than either alone.

View 627
Connection
Draco's code of 621 BC prescribed death for most offences; Solon repealed nearly all of it within thirty years, keeping only the homicide law.

Draco's code of 621 BC prescribed death for most offences; Solon repealed nearly all of it within thirty years, keeping only the homicide law.

View 594

Numbers Around Us

  • appears alongside627
    why?

    Strength 0.50, confidence "high".

  • appears inNumbers assigned as identifiers
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from594
    why?

    Strength 0.50, confidence "high".

  • is associated with950
    why?

    Strength 0.50, confidence "high".

How is 621 connected to another number? →

Everyday life

  • E621 monosodium glutamate has been the subject of controlled trials that have not reproduced the symptom cluster attributed to it. Glutamate occurs naturally in tomatoes, cheese and seaweed.

    DocumentedEveryday lifeGeography: European Union and states adopting the E number systemPeriod: 1962–
  • MSG's association with adverse effects derives largely from a 1968 letter and subsequent press coverage. Double-blind studies have repeatedly failed to reproduce the effect, and glutamate is abundant in ordinary foods.

    DocumentedEveryday lifeGeography: European Union and United Kingdom

Law & regulation

  • Draco's code of 621 BC prescribed death for a very wide range of offences and gave English the word draconian. Solon repealed nearly all of it within thirty years, retaining only the homicide law.

    DocumentedLaw & regulationGeography: AthensPeriod: 621 BC

Common questions

Is 621 a prime number?

No, 621 is not prime.

What are the factors of 621?

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621.

What is 621 in Roman numerals?

621 in Roman numerals is DCXXI.

About this page's data

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

Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026