1031
1031 is a year in the 11th century. The Caliphate of Cordoba dissolved into the taifa kingdoms (Iberia).
- Odd
- Prime
Where 1031 fits
Why 1031 is special
1031 has a profile because of what happened in it rather than because of any property of the number: the Caliphate of Cordoba dissolved into the taifa kingdoms (Iberia).
1031 is part of
Factors & digit properties
- Divisors (2)
- 1, 1031
- Prime factorisation
- 1031
- Digit sum
- 5
- Digital root
- 5
Representations
- Decimal
- 1031
- Scientific notation
- 1.031 × 10^3
Roman numerals
M X X X I
Binary
1 0 0 0 0 0 0 0 1 1 1
1 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 1,031
Octal
2 0 0 7
2 × 512 + 0 × 64 + 0 × 8 + 7 × 1 = 1,031
Hexadecimal
4 0 7
4 × 256 + 0 × 16 + 7 × 1 = 1,031
Read as powers of two: 1,024 + 4 + 2 + 1 = 1,031.
In historical numeral systems
Egyptian
1 lotus, 3 hobbles, 1 stroke
1 × 1,000 + 3 × 10 + 1 × 1 = 1,031. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 7 vertical wedges (sixties place), 1 corner wedge + 1 vertical wedge (units place)
17 × 60 + 11 = 1031. 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
- Sophie Germain prime
- Twin prime
Related numbers & connections
1031 is a year in the 11th century, in the 1030s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
History
In 1031, the Caliphate of Cordoba dissolved into the taifa kingdoms (Iberia).
DocumentedHistoryGeography: IberiaPeriod: 1031
Common questions
Is 1031 a prime number?
Yes, 1031 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 1031?
The factors of 1031 are 1, 1031.
What is 1031 in Roman numerals?
1031 in Roman numerals is MXXXI.
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