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ἑκατόν (τό)

ΕΚΑΤΟΝ

LEXARITHMOS 446

The word hekaton, a fundamental numeral, often symbolizes not merely quantity but completeness, perfection, or a significant aggregate in ancient Greek thought. From the hecatombs of sacrifices to hundreds of citizens and soldiers, this number permeates social, religious, and military organization, underscoring scale and order. Its lexarithmos (446) reflects the balance and structure characteristic of arithmetic.

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Definition

Hekaton (ἑκατόν) is a primary cardinal number in Ancient Greek, denoting the quantity "one hundred." As a noun, "to hekaton" (τό ἑκατόν) could refer to a group of one hundred things or persons, such as "the hundred" citizens or soldiers. Its significance extends beyond a simple numerical value, often employed to imply a large, complete aggregate or a substantial quantity, without necessarily being precisely one hundred.

In the classical era, the number hekaton had practical applications in the organization of the city-state and the military. For instance, "hoi hekaton" (οἱ ἑκατόν) might refer to a body of officials or a military unit. Its use in religious contexts, such as in the "hekatombe" (ἑκατόμβη), a sacrifice of one hundred oxen, underscores its symbolic power as a large-scale and complete offering to the gods.

Beyond its literal usage, hekaton fits into the broader framework of Greek arithmosophy, where numbers were not merely quantities but also carriers of properties and symbols. Although it does not possess the same philosophical weight as single-digit numbers or the decad, its presence in multiples and compound words demonstrates its central position in the numerical system and the perception of order.

Etymology

ἑκατόν (Ancient Greek root belonging to the oldest stratum of the language)
The word ἑκατόν constitutes an Ancient Greek root belonging to the oldest stratum of the language, without the possibility of tracing it back to any external source. Its form is stable and maintained throughout the history of Greek, indicating its primary position in the numerical system. Its internal structure does not reveal a clear connection to other Greek roots, suggesting an autonomous development within the Greek lexicon.

From the root hekat- derive numerous compound words and derivatives that retain the meaning of "one hundred" or "a hundred." These include nouns denoting groups or periods, adjectives expressing multiples or temporal duration, and technical terms related to organization. The productivity of this root demonstrates its central importance in the Greek language for expressing large quantities and organization.

Main Meanings

  1. The cardinal number "one hundred" — The basic numerical value, denoting the quantity 100.
  2. A group of one hundred units — Used as a noun to refer to a collection of one hundred things or individuals, e.g., "οἱ ἑκατόν" citizens.
  3. Symbolism of completeness or a large number — Often used to express a large, complete quantity, even if not precisely 100.
  4. Unit of measurement or organization — In military or administrative contexts, as a basis for forming units (e.g., centurion).
  5. In religious ceremonies — As part of the "hekatombe," a large-scale sacrifice, symbolizing the completeness of the offering.
  6. As a multiplier — In compound words to denote "hundredfold" or "centennial."

Word Family

hekat- (root of the numeral ἑκατόν)

The root hekat- forms the basis for the cardinal number "one hundred" and a series of derivative words that express quantities, multiples, or organizational units based on this number. It is an Ancient Greek root belonging to the oldest stratum of the language, without apparent external connections, highlighting the autonomous development of the Greek numerical system. Its productivity demonstrates the central importance of one hundred as a reference point for large quantities and organization in various aspects of ancient Greek life.

ἑκατόν τό · noun · lex. 446
The cardinal number 'one hundred'. As a noun, it refers to a group of one hundred units or persons. In Herodotus (7.60), 'οἱ ἑκατόν' can denote a body of soldiers or officials.
ἑκατόμβη ἡ · noun · lex. 446
A sacrifice of one hundred oxen or other animals. In the Homeric era and throughout antiquity, it was a large and significant offering to the gods, signifying completeness and grandeur. Frequently mentioned in Homer, e.g., 'ἑκατόμβην ῥέζειν' (Iliad A 316).
ἑκατοντάς ἡ · noun · lex. 947
A group of one hundred units, a hundred, a century. Used to denote a total of one hundred, such as a hundred soldiers or a period of one hundred years. Plato (Laws 771e) mentions the hundred as an organizational unit.
ἑκατοντάρχης ὁ · noun · lex. 1655
The leader of a hundred, i.e., a military division of one hundred men, a centurion. The term is widely used in military texts and historical accounts, such as in Xenophon (Anabasis 5.2.12).
ἑκατονταετής adjective · lex. 1260
Lasting one hundred years or being one hundred years old. Describes temporal periods or age. Herodotus (1.133) refers to 'ἑκατονταετὴς βίος' for a lifespan.
ἑκατονταπλάσιος adjective · lex. 1338
A hundred times greater, hundredfold. Used to denote multiplication or increase by a factor of one hundred. In the New Testament (Matthew 13:8), it is mentioned 'καὶ ἐδίδου καρπὸν ἑκατονταπλασίονα'.
ἑκατοστός ὁ · adjective · lex. 1166
The hundredth, that which is in the hundredth position. The ordinal number corresponding to one hundred. Used to denote order or position in a sequence.

Philosophical Journey

The word ἑκατόν, as a fundamental numeral, has a consistent presence in the Greek language from the earliest sources, with its usage evolving from simple quantity to complex concepts of organization and symbolism.

Mycenaean Era (c. 1450-1200 BCE)
Early Usage
Probable presence in Linear B tablets (e-ka-to-ne), indicating the early use of the number in administrative and economic records.
Homeric Era (c. 8th century BCE)
Appearance in Epics
Appears in the Iliad and Odyssey to describe large numbers, such as ships or warriors, and in "hekatombe" as a sacrifice.
Archaic Era (c. 8th-6th century BCE)
Establishment
Used in inscriptions and early legal texts for recording quantities and organizing cities.
Classical Era (5th-4th century BCE)
Practical Applications
Established as a basic number in mathematical, philosophical, and historical texts (e.g., Herodotus, Thucydides), as well as in political and military organization (e.g., "hekatontarches").
Hellenistic Era (3rd-1st century BCE)
Scientific Use
Continuous use in scientific works (Euclid, Archimedes), administrative documents, and literature, with expansion into complex numerical terms.
Roman/Byzantine Era (1st century BCE - 15th century CE)
Diachronic Presence
Retains its significance as a basic number, incorporated into Christian texts, and continues to be used in every aspect of life and science.

Lexarithmic Analysis

The lexarithmos of the word ΕΚΑΤΟΝ is 446, from the sum of its letter values:

Ε = 5
Epsilon
Κ = 20
Kappa
Α = 1
Alpha
Τ = 300
Tau
Ο = 70
Omicron
Ν = 50
Nu
= 446
Total
5 + 20 + 1 + 300 + 70 + 50 = 446

446 decomposes into 400 (hundreds) + 40 (tens) + 6 (units).

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΕΚΑΤΟΝ:

MethodResultMeaning
Isopsephy446Base lexarithmos
Decade Numerology54+4+6 = 14 → 1+4 = 5 — The Pentad, the number of life and harmony, signifying the completeness of one hundred.
Letter Count66 letters — The Hexad, the number of balance and creation, reflecting the structure of the numerical system.
Cumulative6/40/400Units 6 · Tens 40 · Hundreds 400
Odd/EvenEvenFeminine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonE-K-A-T-O-NExtensive Knowledge of Arithmetic, Thorough Order, and Nuance (interpretive)
Grammatical Groups3V · 3C · 0A3 vowels, 3 consonants, 0 aspirates — indicating a balanced phonetic structure.
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephyJupiter ♃ / Gemini ♊446 mod 7 = 5 · 446 mod 12 = 2

Isopsephic Words (446)

Words from the Liddell-Scott-Jones lexicon with the same lexarithmos (446) as ἑκατόν, but of different roots:

ἑκατόμβη
This word, although sharing the same lexarithmos (446) and root as ἑκατόν, is a distinct noun denoting a sacrifice of one hundred animals, highlighting the religious and ceremonial significance of the number.
ὁμογενής
Meaning "of the same race or kind." Its isopsephy with ἑκατόν is an interesting coincidence, as one word refers to quantity and the other to the quality of kinship.
νεοκράς
Describes something "newly mixed" or "recently blended." Its numerical value coincides with ἑκατόν, yet without any conceptual connection, illustrating the accidental nature of isopsephies.
πρόπειρα
Means "first trial, preliminary examination." Its isopsephy with ἑκατόν is an example of how words with entirely different meanings and roots can possess the same numerical value.
τέρμα
Refers to "end, limit, goal." Its isopsephy with ἑκατόν can be considered a numerical coincidence, without implying any deeper relationship between quantity and boundary.
τοξεία
Means "the art of archery, shooting with a bow." Its numerical value (446) is identical to that of ἑκατόν, offering another example of the diversity of words sharing the same lexarithmos.

The LSJ lexicon contains a total of 67 words with lexarithmos 446. For the full catalog and AI semantic filtering, see the interactive tool.

Sources & Bibliography

  • Liddell, H. G., Scott, R., Jones, H. S.A Greek-English Lexicon. Oxford University Press, 9th ed., 1940.
  • HomerIliad and Odyssey. Edited by D. B. Monro and T. W. Allen. Oxford University Press.
  • HerodotusHistories. Edited by C. Hude. Oxford University Press.
  • ThucydidesHistory of the Peloponnesian War. Edited by H. Stuart Jones. Oxford University Press.
  • XenophonAnabasis. Edited by E. C. Marchant. Oxford University Press.
  • PlatoLaws. Edited by J. Burnet. Oxford University Press.
  • Bauer, W., Arndt, W. F., Gingrich, F. W., Danker, F. W.A Greek-English Lexicon of the New Testament and Other Early Christian Literature. University of Chicago Press, 3rd ed., 2000.
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