1648
1648 is the year of the Peace of Westphalia, which ended the Thirty Years' War.
- Even
- Composite
Where 1648 fits
Why 1648 is special
Westphalia is conventionally credited with establishing the sovereign state as the basic unit of international relations. Historians dispute how much it actually settled at the time, but the treaties are still the reference point every discussion of sovereignty starts from.
Same number, different meanings
How 1648 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Westphalia is conventionally credited with establishing the sovereign state as the basic unit of international relations. Historians dispute how much it actually settled at the time, but the treaties are still the reference point every discussion of sovereignty starts from.
- History
In 1648, the Peace of Westphalia ended the Thirty Years' War and shaped the modern state system (Europe).
- Law & regulation
The Peace of Westphalia ended the Thirty Years' War and is conventionally credited with founding the sovereign-state system. Historians dispute how much the treaties actually established at the time, but they remain the reference point from which arguments about sovereignty begin.
1648 is part of
Factors & digit properties
- Divisors (10)
- 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648
- Prime factorisation
- 2^4 × 103
- Digit sum
- 19
- Digital root
- 1
Representations
- Decimal
- 1648
- Scientific notation
- 1.648 × 10^3
Roman numerals
M D C X L V I I I
MDCXLVIII uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 0 0 1 1 1 0 0 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,648
Octal
3 1 6 0
3 × 512 + 1 × 64 + 6 × 8 + 0 × 1 = 1,648
Hexadecimal
6 7 0
6 × 256 + 7 × 16 + 0 × 1 = 1,648
Read as powers of two: 1,024 + 512 + 64 + 32 + 16 = 1,648.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 4 hobbles, 8 strokes
1 × 1,000 + 6 × 100 + 4 × 10 + 8 × 1 = 1,648. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 7 vertical wedges (sixties place), 2 corner wedges + 8 vertical wedges (units place)
27 × 60 + 28 = 1648. 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
- Deficient number
Related numbers & connections
1648 is a year in the 17th century, in the 1640s.
The Peace of Lodi in 1454 stabilised Italy through resident ambassadors, and Westphalia in 1648 is credited with the sovereign-state system. Permanent diplomacy preceded the doctrine by two centuries.
View 1454 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- developed from1454
why?
Strength 0.50, confidence "high".
History
In 1648, the Peace of Westphalia ended the Thirty Years' War and shaped the modern state system (Europe).
DocumentedHistoryGeography: EuropePeriod: 1648
Law & regulation
The Peace of Westphalia ended the Thirty Years' War and is conventionally credited with founding the sovereign-state system. Historians dispute how much the treaties actually established at the time, but they remain the reference point from which arguments about sovereignty begin.
DocumentedLaw & regulationGeography: EuropePeriod: 1648
Common questions
Is 1648 a prime number?
No, 1648 is not prime.
What are the factors of 1648?
The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648.
What is 1648 in Roman numerals?
1648 in Roman numerals is MDCXLVIII. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCXXXXVIII, 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