1,001
1,001 is the number in One Thousand and One Nights, and a common way of saying 'a great many'.
- Odd
- Composite
Where 1,001 fits
Why 1,001 is special
1,001 is a number chosen for its effect rather than its count. The Arabic collection's title uses it the way English uses 'a thousand and one uses' — to mean more than you would care to enumerate. The framing story has Scheherazade telling tales across those nights to postpone her execution, and the collection has no single fixed contents.
1,001 is part of
Factors & digit properties
- Divisors (8)
- 1, 7, 11, 13, 77, 91, 143, 1001
- Prime factorisation
- 7 × 11 × 13
- Digit sum
- 2
- Digital root
- 2
Representations
- Decimal
- 1001
- Binary
- 1111101001
- Octal
- 1751
- Hexadecimal
- 3e9
- Roman numeral
- MI
- Scientific notation
- 1.001 × 10^3
Other mathematical patterns
- Palindromic number
- Deficient number
- Pentagonal number
Culture
The title Alf Layla wa-Layla uses 1,001 the way English uses 'a thousand and one things to do' — as an idiom for more than one would count. The collection has no fixed contents; stories including Aladdin and Ali Baba were added by an eighteenth-century French translator and appear in no early Arabic manuscript.
DocumentedCultureCulture: Arabic literary tradition
Common questions
Is 1,001 a prime number?
No, 1,001 is not prime.
What are the factors of 1,001?
The factors of 1,001 are 1, 7, 11, 13, 77, 91, 143, 1001.
What is 1,001 in Roman numerals?
1,001 in Roman numerals is MI.
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