1704
1704 is the year of the Battle of Blenheim.
- Even
- Composite
Where 1704 fits
Why 1704 is special
An allied army marched 400 km across Europe in secrecy and destroyed a French force, ending a run of French dominance. Blenheim Palace was built as the nation's gift to Marlborough.
1704 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704
- Prime factorisation
- 2^3 × 3 × 71
- Digit sum
- 12
- Digital root
- 3
Representations
- Decimal
- 1704
- Scientific notation
- 1.704 × 10^3
Roman numerals
M D C C I V
MDCCIV uses the subtractive pair IV: one before five — five minus one.
Binary
1 1 0 1 0 1 0 1 0 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,704
Octal
3 2 5 0
3 × 512 + 2 × 64 + 5 × 8 + 0 × 1 = 1,704
Hexadecimal
6 a 8
6 × 256 + a × 16 + 8 × 1 = 1,704
Read as powers of two: 1,024 + 512 + 128 + 32 + 8 = 1,704.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 4 strokes
1 × 1,000 + 7 × 100 + 4 × 1 = 1,704. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 8 vertical wedges (sixties place), 2 corner wedges + 4 vertical wedges (units place)
28 × 60 + 24 = 1704. Places are separated by a space on the tablet, with the higher place written first.
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
1704 is a year in the 18th century, in the 1700s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
- appears alongside1713
why?
Strength 0.50, confidence "high".
History
In 1704, Newton published Opticks, setting out his experiments on light in English rather than Latin (England).
DocumentedHistoryGeography: EnglandPeriod: 1704Marlborough moved an army across Europe in 1704 without revealing its destination to allies or enemies, and won decisively. The march is studied more than the battle.
DocumentedHistoryGeography: BavariaPeriod: 1704
Common questions
Is 1704 a prime number?
No, 1704 is not prime.
What are the factors of 1704?
The factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704.
What is 1704 in Roman numerals?
1704 in Roman numerals is MDCCIV. IV is subtractive: one before five — five minus one. Written additively it would be MDCCIIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026