1408
1408 is a hotel room number in a horror story.
- Even
- Composite
Where 1408 fits
Why 1408 is special
The digits add to thirteen, which the story makes explicit rather than leaving as a coincidence for readers to notice.
Same number, different meanings
How 1408 is understood across different contexts — never implying one meaning because of another.
- Mathematics
The digits add to thirteen, which the story makes explicit rather than leaving as a coincidence for readers to notice.
- History
In 1408, the Yongle Encyclopedia was completed in over twenty-two thousand chapters, too large ever to be printed (China).
- Media & popular culture
1408 is a Stephen King short story published in 2002 and filmed in 2007, set in a hotel room whose number the text notes sums to thirteen.
1408 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408
- Prime factorisation
- 2^7 × 11
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 1408
- Scientific notation
- 1.408 × 10^3
Roman numerals
M C D V I I I
MCDVIII uses the subtractive pair CD: a hundred before five hundred — five hundred minus a hundred.
Binary
1 0 1 1 0 0 0 0 0 0 0
1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,408
Octal
2 6 0 0
2 × 512 + 6 × 64 + 0 × 8 + 0 × 1 = 1,408
Hexadecimal
5 8 0
5 × 256 + 8 × 16 + 0 × 1 = 1,408
Read as powers of two: 1,024 + 256 + 128 = 1,408.
In historical numeral systems
Egyptian
1 lotus, 4 coils of rope, 8 strokes
1 × 1,000 + 4 × 100 + 8 × 1 = 1,408. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 3 vertical wedges (sixties place), 2 corner wedges + 8 vertical wedges (units place)
23 × 60 + 28 = 1408. Places are separated by a space on the tablet, with the higher place written first.
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
- Abundant number
Related numbers & connections
1408 is a year in the 15th century, in the 1400s.
The room number is explicitly noted in the text as summing to thirteen.
View 13 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with13
why?
Strength 0.50, confidence "high".
History
In 1408, the Yongle Encyclopedia was completed in over twenty-two thousand chapters, too large ever to be printed (China).
DocumentedHistoryGeography: ChinaPeriod: 1408
Media & popular culture
1408 is a Stephen King short story published in 2002 and filmed in 2007, set in a hotel room whose number the text notes sums to thirteen.
DocumentedMedia & popular cultureGeography: United StatesPeriod: 2002–
Common questions
Is 1408 a prime number?
No, 1408 is not prime.
What are the factors of 1408?
The factors of 1408 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408.
What is 1408 in Roman numerals?
1408 in Roman numerals is MCDVIII. CD is subtractive: a hundred before five hundred — five hundred minus a hundred. Written additively it would be MCCCCVIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
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: 15 July 2026