610
610 millimetres is the two-foot narrow gauge.
Where 610 fits
Why 610 is special
Narrow gauge lets a railway follow tighter curves through difficult terrain, which is why quarries, plantations and mountain lines chose it over standard gauge.
610 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 5, 10, 61, 122, 305, 610
- Prime factorisation
- 2 × 5 × 61
- Digit sum
- 7
- Digital root
- 7
Representations
- Decimal
- 610
- Scientific notation
- 6.100 × 10^2
Roman numerals
D C X
Binary
1 0 0 1 1 0 0 0 1 0
1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 610
Octal
1 1 4 2
1 × 512 + 1 × 64 + 4 × 8 + 2 × 1 = 610
Hexadecimal
2 6 2
2 × 256 + 6 × 16 + 2 × 1 = 610
Read as powers of two: 512 + 64 + 32 + 2 = 610.
In historical numeral systems
Egyptian
6 coils of rope, 1 hobble
6 × 100 + 1 × 10 = 610. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge (sixties place), 1 corner wedge (units place)
10 × 60 + 10 = 610. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
chi, then iota, marked as a numeral
chi-iota + keraia
chi + iota 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 resh, then yod
tav-resh-yod
tav (400) + resh (200) + yod (10) = 610, 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
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 914 →Technology & computing
610 mm, nominally two feet, is a common narrow gauge for industrial, quarry and mountain railways, permitting sharper curves and lighter structures than standard gauge requires.
DocumentedTechnology & computingGeography: Used worldwide, notably in Wales, India and southern AfricaPeriod: 19th century–
Common questions
Is 610 a prime number?
No, 610 is not prime.
What are the factors of 610?
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610.
What is 610 in Roman numerals?
610 in Roman numerals is DCX.
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