4095
4,095 is 2¹² − 1, the largest value a twelve-bit number can hold.
- Odd
- Composite
Where 4095 fits
Why 4095 is special
Twelve bits is the common resolution of an analogue-to-digital converter, so 4,095 is what a full-scale reading looks like on a great deal of measuring equipment — a microcontroller reading a sensor, a camera capturing raw. A reading pinned at 4,095 usually means the signal went off the top of the range rather than that it was measured.
4095 is part of
Factors & digit properties
- Divisors (24)
- 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095
- Prime factorisation
- 3^2 × 5 × 7 × 13
- Digit sum
- 18
- Digital root
- 9
Representations
- Decimal
- 4095
- Scientific notation
- 4.095 × 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 1 1
1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 4,095
Octal
7 7 7 7
7 × 512 + 7 × 64 + 7 × 8 + 7 × 1 = 4,095
Hexadecimal
f f f
f × 256 + f × 16 + f × 1 = 4,095
Read as powers of two: 2,048 + 1,024 + 512 + 256 + 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 4,095.
In historical numeral systems
Egyptian
4 lotuses, 9 hobbles, 5 strokes
4 × 1,000 + 9 × 10 + 5 × 1 = 4,095. 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
- Triangular number
- Abundant number
- Lucky number (mathematical sieve)
Technology & computing
The largest reading a twelve-bit converter can report is 4095 (worldwide, analogue-to-digital conversion). A reading pinned at 4,095 usually means the signal went off the top of the range rather than that it was measured, which is why instrument software treats the maximum as a warning rather than a value.
DocumentedTechnology & computingGeography: worldwide, analogue-to-digital conversion
Common questions
Is 4095 a prime number?
No, 4095 is not prime.
What are the factors of 4095?
The factors of 4095 are 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095.
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