1500
1,500 metres is the metric mile — the standard middle-distance championship event.
- Even
- Composite
Where 1500 fits
Why 1500 is special
The 1500 is three and three-quarter laps, and it exists because the metric system and the mile disagree. A mile is 1,609 metres, so continental Europe standardised on the round 1,500 while Britain and America kept racing the mile — which is why the mile record remains the only imperial distance World Athletics still ratifies.
Same number, different meanings
How 1500 is understood across different contexts — never implying one meaning because of another.
- Mathematics
The 1500 is three and three-quarter laps, and it exists because the metric system and the mile disagree. A mile is 1,609 metres, so continental Europe standardised on the round 1,500 while Britain and America kept racing the mile — which is why the mile record remains the only imperial distance World Athletics still ratifies.
- History
In 1500, Pedro Alvares Cabral made the Portuguese landfall in Brazil (Brazil).
- Technology & computing
IEEE 1500 standardises embedded core test, so a system-on-chip assembled from licensed blocks can be tested without the integrator knowing each block's internals.
- Geography
Cabral reached Brazil in 1500, on territory Tordesillas had allotted to Portugal in 1494 before anyone knew it was there. Historians differ on whether the westward course was navigational or deliberate.
- Sport
World Athletics ratifies records at metric distances with one exception: the mile. The 1500 m became the championship event because it is the round metric distance nearest a mile, but the mile itself kept enough cultural weight — Bannister's four minutes above all — that it remains the only imperial distance in the record book.
1500 is part of
Factors & digit properties
- Divisors (24)
- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
- Prime factorisation
- 2^2 × 3 × 5^3
- Digit sum
- 6
- Digital root
- 6
Representations
- Decimal
- 1500
- Scientific notation
- 1.500 × 10^3
Roman numerals
M D
Binary
1 0 1 1 1 0 1 1 1 0 0
1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,500
Octal
2 7 3 4
2 × 512 + 7 × 64 + 3 × 8 + 4 × 1 = 1,500
Hexadecimal
5 d c
5 × 256 + d × 16 + c × 1 = 1,500
Read as powers of two: 1,024 + 256 + 128 + 64 + 16 + 8 + 4 = 1,500.
In historical numeral systems
Egyptian
1 lotus, 5 coils of rope
1 × 1,000 + 5 × 100 = 1,500. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 5 vertical wedges (sixties place), empty units place
25 × 60 + 0 = 1500. 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 3000 →The two middle-distance championship events, and the boundary between speed and endurance. The 800 is run above sustainable oxygen uptake from the start; the 1500 is paced. Athletes who double at championship level are unusual for exactly that reason.
View 800 →A jumbo frame carries about six times the standard Ethernet payload for the same overhead. Unlike 1,500 it is a convention rather than a standard, so every device along the path must agree or traffic fails silently.
View 9000 →Mathematically related
- has multiple3000
why?
Strength 0.50, confidence "high".
Numbers Around Us
History
In 1500, Pedro Alvares Cabral made the Portuguese landfall in Brazil (Brazil).
DocumentedHistoryGeography: BrazilPeriod: 1500
Technology & computing
IEEE 1500 standardises embedded core test, so a system-on-chip assembled from licensed blocks can be tested without the integrator knowing each block's internals.
DocumentedTechnology & computingGeography: International — IEEEPeriod: 2005–
Geography
Cabral reached Brazil in 1500, on territory Tordesillas had allotted to Portugal in 1494 before anyone knew it was there. Historians differ on whether the westward course was navigational or deliberate.
DocumentedGeographyGeography: Brazil and PortugalPeriod: 1500
Sport
World Athletics ratifies records at metric distances with one exception: the mile. The 1500 m became the championship event because it is the round metric distance nearest a mile, but the mile itself kept enough cultural weight — Bannister's four minutes above all — that it remains the only imperial distance in the record book.
DocumentedSport
Common questions
Is 1500 a prime number?
No, 1500 is not prime.
What are the factors of 1500?
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500.
What is 1500 in Roman numerals?
1500 in Roman numerals is MD.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 4 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026