32,768
32,768 is 2 to the power of 15, and the number of oscillations a quartz watch crystal makes each second.
Where 32,768 fits
Why 32,768 is special
Watch crystals are cut to 32,768 Hz because dividing that frequency in half fifteen times lands exactly on one pulse per second, using nothing but a chain of simple binary dividers. The number is chosen to make the arithmetic trivial for the circuit rather than for any property of quartz.
32,768 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768
- Prime factorisation
- 2^15
- Digit sum
- 26
- Digital root
- 8
Representations
- Decimal
- 32768
- Binary
- 1000000000000000
- Octal
- 100000
- Hexadecimal
- 8000
- Scientific notation
- 3.277 × 10^4
Other mathematical patterns
- Deficient number
- Powerful number
Related numbers & connections
2¹⁵, and the frequency in hertz of the quartz crystal in a wristwatch.
Both are about keeping time: NTP corrects a computer's clock over the network, and a 32,768 Hz crystal is what the clock counts in between corrections.
View 123 →Numbers Around Us
- appears inPowers of two
why?
Strength 0.50, confidence "high".
Other connections
- is associated with123
why?
Strength 0.50, confidence "high".
Everyday life
A watch crystal oscillates 32,768 times a second because halving that figure fifteen times lands exactly on one pulse per second, using nothing but a chain of simple binary dividers. The frequency is chosen to make the circuit trivial rather than for any property of the quartz itself.
DocumentedEveryday life
Common questions
Is 32,768 a prime number?
No, 32,768 is not prime.
What are the factors of 32,768?
The factors of 32,768 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768.
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