9000
9,000 bytes is the conventional size of a jumbo frame.
- Even
- Composite
Where 9000 fits
Why 9000 is special
Standard Ethernet carries 1,500 bytes, so a jumbo frame moves six times the data for the same per-packet overhead — worthwhile in storage networks and data centres. It is a convention rather than a standard, so every device on the path must agree or traffic silently fails.
Factors & digit properties
- Divisors (48)
- 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000
- Prime factorisation
- 2^3 × 3^2 × 5^3
- Digit sum
- 9
- Digital root
- 9
Representations
- Decimal
- 9000
- Scientific notation
- 9.000 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 0 1 1 0 0 1 0 1 0 0 0
1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 9,000
Octal
2 1 4 5 0
2 × 4,096 + 1 × 512 + 4 × 64 + 5 × 8 + 0 × 1 = 9,000
Hexadecimal
2 3 2 8
2 × 4,096 + 3 × 256 + 2 × 16 + 8 × 1 = 9,000
Read as powers of two: 8,192 + 512 + 256 + 32 + 8 = 9,000.
In historical numeral systems
Egyptian
9 lotuses
9 × 1,000 = 9,000. 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
- Powerful number
- Harshad (Niven) number
Related numbers & connections
A jumbo frame carries about six times the standard Ethernet payload for the same overhead. Unlike 1,500 it is a convention rather than a standard, so every device along the path must agree or traffic fails silently.
View 1500 →Other connections
- contrasts with1500
why?
Strength 0.50, confidence "high".
Technology & computing
A jumbo frame carries about six times a standard Ethernet frame's payload for the same per-packet overhead, which is worthwhile in storage and data-centre networks. It is a convention rather than a standard, so a single device on the path that disagrees causes silent, hard-to-diagnose failures.
DocumentedTechnology & computing
Common questions
Is 9000 a prime number?
No, 9000 is not prime.
What are the factors of 9000?
The factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000.
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