7748
RFC 7748 defines Curve25519 and Curve448.
- Even
- Composite
Where 7748 fits
Why 7748 is special
The curves were chosen so that implementations are hard to get subtly wrong, which is a different design goal from maximising theoretical strength.
Factors & digit properties
- Divisors (12)
- 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748
- Prime factorisation
- 2^2 × 13 × 149
- Digit sum
- 26
- Digital root
- 8
Representations
- Decimal
- 7748
- Scientific notation
- 7.748 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 0 0 1 0 0 0 1 0 0
1 × 4,096 + 1 × 2,048 + 1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 7,748
Octal
1 7 1 0 4
1 × 4,096 + 7 × 512 + 1 × 64 + 0 × 8 + 4 × 1 = 7,748
Hexadecimal
1 e 4 4
1 × 4,096 + e × 256 + 4 × 16 + 4 × 1 = 7,748
Read as powers of two: 4,096 + 2,048 + 1,024 + 512 + 64 + 4 = 7,748.
In historical numeral systems
Egyptian
7 lotuses, 7 coils of rope, 4 hobbles, 8 strokes
7 × 1,000 + 7 × 100 + 4 × 10 + 8 × 1 = 7,748. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
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
- Harshad (Niven) number
Related numbers & connections
Ed25519 signatures are built on the curves this document specifies, chosen to be hard to implement incorrectly.
View 8032 →Technology & computing
RFC 7748 specifies elliptic curves for security, designed with parameters that avoid several classes of implementation error including invalid curve and timing attacks.
DocumentedTechnology & computingGeography: International — IETFPeriod: 2016
Common questions
Is 7748 a prime number?
No, 7748 is not prime.
What are the factors of 7748?
The factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748.
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