Numberwise

16,384

16,384 is 2 to the power of 14.

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Where 16,384 fits

Where 16,384 fits: Mathematics, Related numbersMathematics: Perfect square, Powerful number. Related numbers: 4096.MathematicsPerfect squarePowerful numberRelated numbers409616,384
16,384 connects to 2 worlds: mathematics, related numbers.

Why 16,384 is special

16,384 is the usual size of a large memory page and a common audio buffer length. Its more visible life is as 16K — the memory of home computers like the unexpanded ZX Spectrum, where the figure was a headline specification rather than an implementation detail.

Factors & digit properties

Divisors (15)
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384
Prime factorisation
2^14
Digit sum
22
Digital root
4

Representations

Decimal
16384
Binary
100000000000000
Octal
40000
Hexadecimal
4000
Scientific notation
1.638 × 10^4

Other mathematical patterns

  • Deficient number
  • Powerful number

Related numbers & connections

Mathematical relationship
Four times 4,096, and both are common memory page sizes. Larger pages reduce bookkeeping overhead at the cost of wasting more space on small allocations.

Four times 4,096, and both are common memory page sizes. Larger pages reduce bookkeeping overhead at the cost of wasting more space on small allocations.

View 4096
Documented appearance
2¹⁴, and 16K when home computers quoted their memory in those terms.

2¹⁴, and 16K when home computers quoted their memory in those terms.

Mathematically related

  • is a multiple of4096
    why?

    Strength 0.50, confidence "high".

Numbers Around Us

  • appears inPowers of two
    why?

    Strength 0.50, confidence "high".

How is 16,384 connected to another number? →

Technology & computing

  • 16,384 bytes is 16K, and on home computers of the early 1980s it was a specification people quoted — the unexpanded ZX Spectrum shipped with it. The same figure survives today as a common memory page size and audio buffer length, where nobody quotes it at all.

    DocumentedTechnology & computing

Common questions

Is 16,384 a prime number?

No, 16,384 is not prime.

What are the factors of 16,384?

The factors of 16,384 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384.

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