Numberwise

9797

ISO/IEC 9797 standardises message authentication codes.

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Where 9797 fits

Where 9797 fits: Mathematics, Related numbersMathematics: Semiprime. Related numbers: 2104.MathematicsSemiprimeRelated numbers21049797
9797 connects to 2 worlds: mathematics, related numbers.

Why 9797 is special

Its CBC-MAC constructions are what payment terminals and smart cards use, where HMAC would require a hash function the hardware does not have.

Factors & digit properties

Divisors (4)
1, 97, 101, 9797
Prime factorisation
97 × 101
Digit sum
32
Digital root
5

Representations

Decimal
9797
Scientific notation
9.797 × 10^3

Roman numerals

Roman numerals as modelled here goes up to 3,999.

Binary

1 0 0 1 1 0 0 1 0 0 0 1 0 1

1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 9,797

Octal

2 3 1 0 5

2 × 4,096 + 3 × 512 + 1 × 64 + 0 × 8 + 5 × 1 = 9,797

Hexadecimal

2 6 4 5

2 × 4,096 + 6 × 256 + 4 × 16 + 5 × 1 = 9,797

Read as powers of two: 8,192 + 1,024 + 512 + 64 + 4 + 1 = 9,797.

In historical numeral systems

Egyptian

9 lotuses, 7 coils of rope, 9 hobbles, 7 strokes

9 × 1,000 + 7 × 100 + 9 × 10 + 7 × 1 = 9,797. 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

Related numbers & connections

Connection
One builds message authentication from a block cipher and the other from a hash function, which suits different hardware.

One builds message authentication from a block cipher and the other from a hash function, which suits different hardware.

View 2104 →

Other connections

  • contrasts with2104
    why?

    Strength 0.50, confidence "high".

How is 9797 connected to another number? →

Technology & computing

  • ISO/IEC 9797 specifies MAC algorithms including CBC-MAC variants built from block ciphers, used where a block cipher is available but a hash function is not.

    DocumentedTechnology & computingGeography: International — ISO member bodiesPeriod: 1989–

Common questions

Is 9797 a prime number?

No, 9797 is not prime.

What are the factors of 9797?

The factors of 9797 are 1, 97, 101, 9797.

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