Numberwise

9600

9600 baud is the classic default speed for a serial connection.

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Where 9600 fits

Where 9600 fits: MathematicsMathematics: Harshad (Niven) number.MathematicsHarshad (Niven) number9600
9600 connects to 1 world: mathematics.

Why 9600 is special

9600 bits per second is slow enough to be reliable over long or noisy cables and fast enough to be useful, which is why it survived as the default for configuring switches, industrial controllers and embedded boards long after general-purpose links became thousands of times faster.

Factors & digit properties

Divisors (48)
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600
Prime factorisation
2^7 × 3 × 5^2
Digit sum
15
Digital root
6

Representations

Decimal
9600
Scientific notation
9.600 × 10^3

Roman numerals

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

Binary

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

1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 9,600

Octal

2 2 6 0 0

2 × 4,096 + 2 × 512 + 6 × 64 + 0 × 8 + 0 × 1 = 9,600

Hexadecimal

2 5 8 0

2 × 4,096 + 5 × 256 + 8 × 16 + 0 × 1 = 9,600

Read as powers of two: 8,192 + 1,024 + 256 + 128 = 9,600.

In historical numeral systems

Egyptian

9 lotuses, 6 coils of rope

9 × 1,000 + 6 × 100 = 9,600. 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

  • Abundant number
  • Harshad (Niven) number

Technology & computing

  • 9,600 bits per second is fast enough to be useful and slow enough to survive long or electrically noisy cable runs. That balance is why it remains the default for console access to network switches, industrial controllers and embedded boards decades after general-purpose links became far faster.

    DocumentedTechnology & computing

Common questions

Is 9600 a prime number?

No, 9600 is not prime.

What are the factors of 9600?

The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600.

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