8,192
8,192 is 2¹³, or 8 KiB — a recurring block and buffer size in computing.
- Even
- Composite
Where 8,192 fits
Why 8,192 is special
8,192 is the size a great deal of software moves data in without anyone deciding it consciously: default pipe buffers, database page sizes, and the block size of many filesystems. PostgreSQL stores everything in 8 KiB pages, which is why its size limits are the multiples of 8,192 they are.
8,192 is part of
Factors & digit properties
- Divisors (14)
- 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
- Prime factorisation
- 2^13
- Digit sum
- 20
- Digital root
- 2
Representations
- Decimal
- 8192
- Scientific notation
- 8.192 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 8,192
Octal
2 0 0 0 0
2 × 4,096 + 0 × 512 + 0 × 64 + 0 × 8 + 0 × 1 = 8,192
Hexadecimal
2 0 0 0
2 × 4,096 + 0 × 256 + 0 × 16 + 0 × 1 = 8,192
Read as powers of two: 8,192 = 8,192.
In historical numeral systems
Egyptian
8 lotuses, 1 coil of rope, 9 hobbles, 2 strokes
8 × 1,000 + 1 × 100 + 9 × 10 + 2 × 1 = 8,192. 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
- Powerful number
Related numbers & connections
Doubling again, from the disk sector and memory page at 4 KiB to the 8 KiB block that database and filesystem layers commonly default to.
View 4096 →8,192 is 2¹³, the block size a great deal of storage software defaults to.
Mathematically related
- has factor4096
why?
Strength 0.50, confidence "high".
Shares a distinctive class
- is associated withPowers of two
why?
Strength 0.50, confidence "high".
Technology & computing
8 KiB is the default unit a surprising amount of software moves data in — PostgreSQL pages, many filesystem blocks, standard pipe buffers. It is large enough to amortise per-operation overhead and small enough to avoid wasting memory on partial fills, and once one layer picks it the layers above tend to match.
DocumentedTechnology & computing
Common questions
Is 8,192 a prime number?
No, 8,192 is not prime.
What are the factors of 8,192?
The factors of 8,192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
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