Numberwise

8,192

8,192 is 2¹³, or 8 KiB — a recurring block and buffer size in computing.

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Where 8,192 fits

Where 8,192 fits: Mathematics, Related numbersMathematics: Powerful number. Related numbers: 4096.MathematicsPowerful numberRelated numbers40968,192
8,192 connects to 2 worlds: mathematics, related numbers.

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
Binary
10000000000000
Octal
20000
Hexadecimal
2000
Scientific notation
8.192 × 10^3

Other mathematical patterns

  • Deficient number
  • Powerful number

Related numbers & connections

Mathematical relationship
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.

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
Shared classification
8,192 is 2¹³, the block size a great deal of storage software defaults to.

8,192 is 2¹³, the block size a great deal of storage software defaults to.

Mathematically related

  • is a factor of4096
    why?

    Strength 0.50, confidence "high".

Shares a distinctive class

  • is associated withPowers of two
    why?

    Strength 0.50, confidence "high".

How is 8,192 connected to another number? →

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: 3 August 2026

8,192 — Meaning, Facts and Properties | Numberwise