24,601
24601 is Jean Valjean's prisoner number in Les Misérables.
- Odd
- Composite
Where 24,601 fits
Why 24,601 is special
The number is how the novel makes its argument: Javert uses it in place of Valjean's name for decades, insisting the man is the sentence. Hugo never explained where the digits came from, and the musical's popularity has made it one of the most recognised numbers in fiction.
Factors & digit properties
- Divisors (4)
- 1, 73, 337, 24601
- Prime factorisation
- 73 × 337
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 24601
- Scientific notation
- 2.460 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 0 0 0 0 0 0 0 0 1 1 0 0 1
1 × 16,384 + 1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 24,601
Octal
6 0 0 3 1
6 × 4,096 + 0 × 512 + 0 × 64 + 3 × 8 + 1 × 1 = 24,601
Hexadecimal
6 0 1 9
6 × 4,096 + 0 × 256 + 1 × 16 + 9 × 1 = 24,601
Read as powers of two: 16,384 + 8,192 + 16 + 8 + 1 = 24,601.
In historical numeral systems
Egyptian
2 fingers, 4 lotuses, 6 coils of rope, 1 stroke
2 × 10,000 + 4 × 1,000 + 6 × 100 + 1 × 1 = 24,601. 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
- Semiprime
Media & popular culture
Javert addresses Valjean by his prison number for decades, which is how Les Misérables makes its argument: the state insists the man is the sentence. Hugo never explained the digits. The musical has made 24601 one of the most widely recognised numbers in fiction.
DocumentedMedia & popular culture
Common questions
Is 24,601 a prime number?
No, 24,601 is not prime.
What are the factors of 24,601?
The factors of 24,601 are 1, 73, 337, 24601.
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