3511
3,511 is the second and largest known Wieferich prime.
- Odd
- Prime
Where 3511 fits
Why 3511 is special
No third has been found despite exhaustive computer search. It is unusual for a property to have exactly two known examples and no proof that the list is complete.
3511 is part of
Factors & digit properties
- Divisors (2)
- 1, 3511
- Prime factorisation
- 3511
- Digit sum
- 10
- Digital root
- 1
Representations
- Decimal
- 3511
- Scientific notation
- 3.511 × 10^3
Roman numerals
M M M D X I
Binary
1 1 0 1 1 0 1 1 0 1 1 1
1 × 2,048 + 1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 3,511
Octal
6 6 6 7
6 × 512 + 6 × 64 + 6 × 8 + 7 × 1 = 3,511
Hexadecimal
d b 7
d × 256 + b × 16 + 7 × 1 = 3,511
Read as powers of two: 2,048 + 1,024 + 256 + 128 + 32 + 16 + 4 + 2 + 1 = 3,511.
In historical numeral systems
Egyptian
3 lotuses, 5 coils of rope, 1 hobble, 1 stroke
3 × 1,000 + 5 × 100 + 1 × 10 + 1 × 1 = 3,511. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
5 corner wedges + 8 vertical wedges (sixties place), 3 corner wedges + 1 vertical wedge (units place)
58 × 60 + 31 = 3511. 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
Mathematics
3,511 is the larger of the only two known Wieferich primes. Mathematicians do not know whether there are finitely many, infinitely many, or exactly two — a rare state for a well-studied property.
DocumentedMathematics
Common questions
Is 3511 a prime number?
Yes, 3511 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 3511?
The factors of 3511 are 1, 3511.
What is 3511 in Roman numerals?
3511 in Roman numerals is MMMDXI.
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