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
- Binary
- 10001000101
- Octal
- 2105
- Hexadecimal
- 445
- Roman numeral
- MXCIII
- Scientific notation
- 1.093 × 10^3
Other mathematical patterns
- Deficient number
- Happy number
- Lucky number (mathematical sieve)
- Twin prime
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.
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: 3 August 2026