4,096
4,096 is 2¹², the modern disk sector size and a common cryptographic key length.
Where 4,096 fits
Why 4,096 is special
4,096 replaced 512 as the unit storage is organised in: Advanced Format drives use 4,096-byte sectors because larger blocks carry proportionally less error-correction overhead. The same number recurs in cryptography, where 4,096-bit RSA keys are the conservative choice, and in memory, where 4 KiB is the standard page size on most processors.
4,096 is part of
Factors & digit properties
- Divisors (13)
- 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096
- Prime factorisation
- 2^12
- Digit sum
- 19
- Digital root
- 1
Representations
- Decimal
- 4096
- Binary
- 1000000000000
- Octal
- 10000
- Hexadecimal
- 1000
- Scientific notation
- 4.096 × 10^3
Other mathematical patterns
- Deficient number
- Happy number
- Powerful number
Related numbers & connections
Consecutive powers of two, and consecutive generations of storage geometry: 4,096-byte sectors replaced 512-byte ones because the fixed per-sector overhead is amortised across eight times the data.
View 2048 →4,096 is 2¹², the modern disk sector and the standard memory page size.
Technology & computing
512-byte sectors spent a fixed overhead on error correction and synchronisation for every block. At 4,096 bytes that overhead is amortised over eight times the data, which is why Advanced Format drives recover meaningfully more usable capacity from the same platter. The same figure is the standard memory page size on most processors.
DocumentedTechnology & computingPeriod: 2010 – present
Common questions
Is 4,096 a prime number?
No, 4,096 is not prime.
What are the factors of 4,096?
The factors of 4,096 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096.
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