16,384
16,384 is 2 to the power of 14.
Where 16,384 fits
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.
16,384 connects to:
- 4096 — is a multiple of
- powers of two — appears in
16,384 is part of
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
- Scientific notation
- 1.638 × 10^4
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 0
1 × 16,384 + 0 × 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 = 16,384
Octal
4 0 0 0 0
4 × 4,096 + 0 × 512 + 0 × 64 + 0 × 8 + 0 × 1 = 16,384
Hexadecimal
4 0 0 0
4 × 4,096 + 0 × 256 + 0 × 16 + 0 × 1 = 16,384
Read as powers of two: 16,384 = 16,384.
In historical numeral systems
Egyptian
1 finger, 6 lotuses, 3 coils of rope, 8 hobbles, 4 strokes
1 × 10,000 + 6 × 1,000 + 3 × 100 + 8 × 10 + 4 × 1 = 16,384. 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
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 →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".
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
Mathematics
16,384 is 2¹⁴, and because 14 is even it is also 128². Powers of two are perfect squares exactly when the exponent is even, which is why 16,384 and 65,536 are and 8,192 and 32,768 are not. The pattern is worth knowing when reading memory sizes: a square root that comes out whole is a hint that a figure is a power of two with an even exponent rather than an arbitrary round number.
DocumentedMathematics
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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026