4093
The 4093 is a quad two-input NAND gate with Schmitt-trigger inputs.
- Odd
- Prime
Where 4093 fits
Why 4093 is special
The hysteresis on its inputs means it cleans up a slow or noisy signal, so one package can both square up an edge and perform logic.
4093 is part of
Factors & digit properties
- Divisors (2)
- 1, 4093
- Prime factorisation
- 4093
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 4093
- Scientific notation
- 4.093 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 1 1 1 1 1 1 0 1
1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 4,093
Octal
7 7 7 5
7 × 512 + 7 × 64 + 7 × 8 + 5 × 1 = 4,093
Hexadecimal
f f d
f × 256 + f × 16 + d × 1 = 4,093
Read as powers of two: 2,048 + 1,024 + 512 + 256 + 128 + 64 + 32 + 16 + 8 + 4 + 1 = 4,093.
In historical numeral systems
Egyptian
4 lotuses, 9 hobbles, 3 strokes
4 × 1,000 + 9 × 10 + 3 × 1 = 4,093. 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
- Twin prime
Related numbers & connections
Schmitt-trigger NAND gates clean up the clock that a counter like the 4017 would otherwise miscount.
View 4017 →Other connections
- is associated with4017
why?
Strength 0.50, confidence "high".
Technology & computing
The 4093 combines CMOS NAND gates with Schmitt-trigger inputs, giving defined switching thresholds with hysteresis. It is commonly used for oscillators and for debouncing mechanical contacts.
DocumentedTechnology & computingPeriod: 1970s–
Common questions
Is 4093 a prime number?
Yes, 4093 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 4093?
The factors of 4093 are 1, 4093.
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