1,024
1024 is 2¹⁰, and the number of bytes historically treated as one kilobyte in computing.
Where 1,024 fits
Why 1,024 is special
1024 is where binary arithmetic and everyday computing vocabulary collide: as 2¹⁰ it is the closest power of two to 1000, which is why early computing treated 1024 bytes as 'one kilobyte'. That shorthand conflicted with the SI meaning of kilo- (exactly 1000), so in 1998 the IEC introduced the kibibyte (KiB) for 1024 bytes — the ambiguity is now formally resolved, even though the older usage persists informally.
1,024 is part of
Factors & digit properties
- Divisors (11)
- 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
- Prime factorisation
- 2^10
- Digit sum
- 7
- Digital root
- 7
Representations
- Decimal
- 1024
- Binary
- 10000000000
- Octal
- 2000
- Hexadecimal
- 400
- Roman numeral
- MXXIV
- Scientific notation
- 1.024 × 10^3
Other mathematical patterns
- Deficient number
- Powerful number
Related numbers & connections
2048 is exactly twice 1024 — the next doubling of two, and the reason the 2048 game's target follows from 1024.
View 2048 →2¹⁰ — the closest power of two to 1000, which is why it became computing's informal 'kilo'.
Technology & computing
Early computing treated 1024 bytes as one kilobyte, conflicting with the SI meaning of kilo- (exactly 1000). The IEC introduced the binary prefix kibibyte (KiB) for 1024 bytes in 1998; the older kilobyte usage persists informally but is formally superseded.
DocumentedTechnology & computingPeriod: IEC binary prefixes introduced 1998
Mathematics
1024 is 2¹⁰ — the closest power of two to 1000, which is the reason it was adopted as computing's informal 'kilobyte'.
DocumentedMathematics
Common questions
Is 1,024 a prime number?
No, 1,024 is not prime.
What are the factors of 1,024?
The factors of 1,024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024.
What is 1,024 in Roman numerals?
1,024 in Roman numerals is MXXIV.
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: 30 July 2026