336
336 BC is the year Alexander became king of Macedon.
- Even
- Composite
Where 336 fits
Why 336 is special
He was twenty and had conquered from Greece to the Indus within twelve years. The empire did not survive his death, which is the usual outcome for conquests organised around one person.
Factors & digit properties
- Divisors (20)
- 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
- Prime factorisation
- 2^4 × 3 × 7
- Digit sum
- 12
- Digital root
- 3
Representations
- Decimal
- 336
- Scientific notation
- 3.360 × 10^2
Roman numerals
C C C X X X V I
Binary
1 0 1 0 1 0 0 0 0
1 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 336
Octal
5 2 0
5 × 64 + 2 × 8 + 0 × 1 = 336
Hexadecimal
1 5 0
1 × 256 + 5 × 16 + 0 × 1 = 336
Read as powers of two: 256 + 64 + 16 = 336.
In historical numeral systems
Egyptian
3 coils of rope, 3 hobbles, 6 strokes
3 × 100 + 3 × 10 + 6 × 1 = 336. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
5 vertical wedges (sixties place), 3 corner wedges + 6 vertical wedges (units place)
5 × 60 + 36 = 336. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
tau, then lambda, then stigma, marked as a numeral
tau-lambda-stigma + keraia
tau + lambda + stigma written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
shin, then lamed, then vav
shin-lamed-vav
shin (300) + lamed (30) + vav (6) = 336, written in descending order.
Maya
3 bars + 1 dot (upper, twenties place) over 3 bars + 1 dot (lower, units place)
16 × 20 + 16 = 336. Places stack vertically with the smallest at the bottom, so the upper group is worth twenty times the lower.
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
- Abundant number
- Harshad (Niven) number
Related numbers & connections
Alexander became king in 336 BC and died in 323, having conquered from Greece to the Indus in twelve years. Nothing had been built to outlast him personally.
View 323 →Other connections
- developed from323
why?
Strength 0.50, confidence "high".
History
Alexander's conquests took twelve years and his empire fragmented within decades of his death in 323 BC. Nothing had been built to outlast him personally.
DocumentedHistoryGeography: MacedonPeriod: 336–323 BC
Common questions
Is 336 a prime number?
No, 336 is not prime.
What are the factors of 336?
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336.
What is 336 in Roman numerals?
336 in Roman numerals is CCCXXXVI.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026