1093
1,093 is one of only two known Wieferich primes.
- Odd
- Prime
Where 1093 fits
Why 1093 is special
Wieferich primes are connected to Fermat's Last Theorem, and only 1,093 and 3,511 have been found despite searches past 10^17. Whether more exist is unknown.
1093 is part of
Factors & digit properties
- Divisors (2)
- 1, 1093
- Prime factorisation
- 1093
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 1093
- Scientific notation
- 1.093 × 10^3
Roman numerals
M X C I I I
MXCIII uses the subtractive pair XC: ten before a hundred — a hundred minus ten.
Binary
1 0 0 0 1 0 0 0 1 0 1
1 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 1,093
Octal
2 1 0 5
2 × 512 + 1 × 64 + 0 × 8 + 5 × 1 = 1,093
Hexadecimal
4 4 5
4 × 256 + 4 × 16 + 5 × 1 = 1,093
Read as powers of two: 1,024 + 64 + 4 + 1 = 1,093.
In historical numeral systems
Egyptian
1 lotus, 9 hobbles, 3 strokes
1 × 1,000 + 9 × 10 + 3 × 1 = 1,093. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 8 vertical wedges (sixties place), 1 corner wedge + 3 vertical wedges (units place)
18 × 60 + 13 = 1093. 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
- Happy number
- Lucky number (mathematical sieve)
- Twin prime
Related numbers & connections
1093 is a year in the 11th century, in the 1090s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
History
In 1093, building began on Durham Cathedral, the first large structure vaulted throughout in stone ribs (England).
DocumentedHistoryGeography: EnglandPeriod: 1093
Mathematics
1,093 and 3,511 are the only known Wieferich primes, and computers have checked past 10 to the 17th without finding a third. Their connection to Fermat's Last Theorem is why anyone looked.
DocumentedMathematics
Common questions
Is 1093 a prime number?
Yes, 1093 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 1093?
The factors of 1093 are 1, 1093.
What is 1093 in Roman numerals?
1093 in Roman numerals is MXCIII. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be MLXXXXIII, 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