1016
1016 is the year Cnut became king of England.
- Even
- Composite
Where 1016 fits
Why 1016 is special
A Danish king ruled England, Denmark and Norway together. The story of him commanding the tide is told by a chronicler to show he was demonstrating the limits of royal power, not asserting it.
Same number, different meanings
How 1016 is understood across different contexts — never implying one meaning because of another.
- Mathematics
A Danish king ruled England, Denmark and Norway together. The story of him commanding the tide is told by a chronicler to show he was demonstrating the limits of royal power, not asserting it.
- History
In 1016, Cnut became king of England, joining it to a North Sea empire (England).
- Technology & computing
IEEE 1016 specifies software design descriptions, defining design viewpoints so that a document addresses stated concerns rather than following a fixed template.
1016 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 4, 8, 127, 254, 508, 1016
- Prime factorisation
- 2^3 × 127
- Digit sum
- 8
- Digital root
- 8
Representations
- Decimal
- 1016
- Scientific notation
- 1.016 × 10^3
Roman numerals
M X V I
Binary
1 1 1 1 1 1 1 0 0 0
1 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,016
Octal
1 7 7 0
1 × 512 + 7 × 64 + 7 × 8 + 0 × 1 = 1,016
Hexadecimal
3 f 8
3 × 256 + f × 16 + 8 × 1 = 1,016
Read as powers of two: 512 + 256 + 128 + 64 + 32 + 16 + 8 = 1,016.
In historical numeral systems
Egyptian
1 lotus, 1 hobble, 6 strokes
1 × 1,000 + 1 × 10 + 6 × 1 = 1,016. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 6 vertical wedges (sixties place), 5 corner wedges + 6 vertical wedges (units place)
16 × 60 + 56 = 1016. 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
- Harshad (Niven) number
Related numbers & connections
1016 is a year in the 11th century, in the 1010s.
The Lindisfarne raid of 793 opens the Viking Age and Cnut ruled England from 1016. Two and a half centuries separate the first shock from Danish kingship.
View 793 →History
In 1016, Cnut became king of England, joining it to a North Sea empire (England).
DocumentedHistoryGeography: EnglandPeriod: 1016Cnut had his throne carried to the sea to show courtiers that royal authority had limits. The anecdote is almost always retold as arrogance, which inverts the chronicler's point.
DocumentedHistoryGeography: England, Denmark and NorwayPeriod: 1016
Technology & computing
IEEE 1016 specifies software design descriptions, defining design viewpoints so that a document addresses stated concerns rather than following a fixed template.
DocumentedTechnology & computingGeography: International — IEEEPeriod: 1987–
Common questions
Is 1016 a prime number?
No, 1016 is not prime.
What are the factors of 1016?
The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016.
What is 1016 in Roman numerals?
1016 in Roman numerals is MXVI.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026