914
914 millimetres is the three-foot narrow gauge.
- Even
- Composite
Where 914 fits
Why 914 is special
It was widespread in the American west and in Ireland, and it is wide enough to carry useful loads while still being cheap to lay through mountains.
Factors & digit properties
- Divisors (4)
- 1, 2, 457, 914
- Prime factorisation
- 2 × 457
- Digit sum
- 14
- Digital root
- 5
Representations
- Decimal
- 914
- Scientific notation
- 9.140 × 10^2
Roman numerals
C M X I V
CMXIV uses the subtractive pair IV: one before five — five minus one.
Binary
1 1 1 0 0 1 0 0 1 0
1 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 914
Octal
1 6 2 2
1 × 512 + 6 × 64 + 2 × 8 + 2 × 1 = 914
Hexadecimal
3 9 2
3 × 256 + 9 × 16 + 2 × 1 = 914
Read as powers of two: 512 + 256 + 128 + 16 + 2 = 914.
In historical numeral systems
Egyptian
9 coils of rope, 1 hobble, 4 strokes
9 × 100 + 1 × 10 + 4 × 1 = 914. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 5 vertical wedges (sixties place), 1 corner wedge + 4 vertical wedges (units place)
15 × 60 + 14 = 914. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
sampi, then iota, then delta, marked as a numeral
sampi-iota-delta + keraia
sampi + iota + delta written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
tav, then tav, then qof, then yod, then dalet
tav-tav-qof-yod-dalet
tav (400) + tav (400) + qof (100) + yod (10) + dalet (4) = 914, written in descending order.
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
Related numbers & connections
Three-foot gauge trades some of two-foot's flexibility for capacity, and both were chosen for terrain rather than tradition.
View 610 →Other connections
- is associated with610
why?
Strength 0.50, confidence "high".
Technology & computing
914 mm, nominally three feet, was extensively used in North American mountain railroads and in Irish light railways, offering greater capacity than two-foot gauge at moderate construction cost.
DocumentedTechnology & computingGeography: United States and Ireland principallyPeriod: 19th century–
Common questions
Is 914 a prime number?
No, 914 is not prime.
What are the factors of 914?
The factors of 914 are 1, 2, 457, 914.
What is 914 in Roman numerals?
914 in Roman numerals is CMXIV. IV is subtractive: one before five — five minus one. Written additively it would be DCCCCXIIII, 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: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026