3000
3,000 metres is the steeplechase distance, and a standard middle-distance track event.
- Even
- Composite
Where 3000 fits
Why 3000 is special
The 3000 m steeplechase is athletics' oddest standard event: seven and a half laps over 28 barriers and seven water jumps, a format inherited from cross-country racing between church steeples. The barriers do not fall over, so hitting one costs the runner rather than the obstacle.
Factors & digit properties
- Divisors (32)
- 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000
- Prime factorisation
- 2^3 × 3 × 5^3
- Digit sum
- 3
- Digital root
- 3
Representations
- Decimal
- 3000
- Scientific notation
- 3.000 × 10^3
Roman numerals
M M M
Binary
1 0 1 1 1 0 1 1 1 0 0 0
1 × 2,048 + 0 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 3,000
Octal
5 6 7 0
5 × 512 + 6 × 64 + 7 × 8 + 0 × 1 = 3,000
Hexadecimal
b b 8
b × 256 + b × 16 + 8 × 1 = 3,000
Read as powers of two: 2,048 + 512 + 256 + 128 + 32 + 16 + 8 = 3,000.
In historical numeral systems
Egyptian
3 lotuses
3 × 1,000 = 3,000. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
5 corner wedges (sixties place), empty units place
50 × 60 + 0 = 3000. Places are separated by a space on the tablet, with the higher place written first. The second place is empty, and this is precisely the case the early system could not write unambiguously — the same wedges alone would also read as 1.
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
The steeplechase runs twice the metric mile, over 28 fixed barriers and 7 water jumps. Unlike hurdles the barriers do not fall, so a runner who hits one loses rather than the barrier.
View 1500 →Both are Olympic obstacle events with opposite designs: 110 m hurdles clear ten barriers that tip when struck, the 3,000 m steeplechase 28 that do not.
View 110 →Sport
The steeplechase's 28 barriers are fixed and solid, unlike hurdles — a runner who hits one loses rather than the barrier. Seven water jumps add a landing into water on the far side. The format descends from cross-country races between village church steeples, which is where the name comes from.
DocumentedSport
Common questions
Is 3000 a prime number?
No, 3000 is not prime.
What are the factors of 3000?
The factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000.
What is 3000 in Roman numerals?
3000 in Roman numerals is MMM.
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