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3511

3,511 is the second and largest known Wieferich prime.

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Where 3511 fits

Where 3511 fits: MathematicsMathematics: Prime.MathematicsPrime3511
3511 connects to 1 world: mathematics.

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
Binary
110110110111
Octal
6667
Hexadecimal
db7
Roman numeral
MMMDXI
Scientific notation
3.511 × 10^3

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: 3 August 2026

3511 — Mathematical Properties and Representations | Numberwise