Numberwise

1067

1,067 mm is Cape gauge, used across much of Africa, Japan and Australia.

2 confirmed records · 2 sourcesChecked and sourcedChecked, general knowledgeHow we qualify claimsReport a correction

Where 1067 fits

Where 1067 fits: Mathematics, History, Related numbersMathematics: Happy number, Semiprime. History: Historical years. Related numbers: 1435.MathematicsHappy numberSemiprimeHistoryHistorical yearsRelated numbers14351067
1067 connects to 3 worlds: mathematics, history, related numbers.

Why 1067 is special

Narrower track is cheaper to build through mountains and slower to run on. Countries that chose it early are still constrained by that decision a century later, which is why Japan built the Shinkansen on separate standard-gauge track.

1067 connects to:

  • historical years appears in
  • 1435 contrasts with

Same number, different meanings

How 1067 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (4)
1, 11, 97, 1067
Prime factorisation
11 × 97
Digit sum
14
Digital root
5

Representations

Decimal
1067
Scientific notation
1.067 × 10^3

Roman numerals

M L X V I I

Binary

1 0 0 0 0 1 0 1 0 1 1

1 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 1,067

Octal

2 0 5 3

2 × 512 + 0 × 64 + 5 × 8 + 3 × 1 = 1,067

Hexadecimal

4 2 b

4 × 256 + 2 × 16 + b × 1 = 1,067

Read as powers of two: 1,024 + 32 + 8 + 2 + 1 = 1,067.

In historical numeral systems

Egyptian

1 lotus, 6 hobbles, 7 strokes

1 × 1,000 + 6 × 10 + 7 × 1 = 1,067. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 corner wedge + 7 vertical wedges (sixties place), 4 corner wedges + 7 vertical wedges (units place)

17 × 60 + 47 = 1067. 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

Related numbers & connections

Documented appearance
1067 is a year in the 11th century, in the 1060s.

1067 is a year in the 11th century, in the 1060s.

Connection
Cape gauge is cheaper to build through mountains and permanently slower to run on; standard gauge is the international default. Early cost decisions constrain networks for a century.

Cape gauge is cheaper to build through mountains and permanently slower to run on; standard gauge is the international default. Early cost decisions constrain networks for a century.

View 1435

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • contrasts with1435
    why?

    Strength 0.50, confidence "high".

How is 1067 connected to another number? →

History

  • In 1067, castle building began across England on a scale that reshaped the landscape (England).

    DocumentedHistoryGeography: EnglandPeriod: 1067

Technology & computing

  • Cape gauge at 1,067 mm was chosen for cost in difficult terrain and permanently caps speed and capacity. Japan's answer was to build an entirely separate standard-gauge network rather than convert.

    DocumentedTechnology & computing

Common questions

Is 1067 a prime number?

No, 1067 is not prime.

What are the factors of 1067?

The factors of 1067 are 1, 11, 97, 1067.

What is 1067 in Roman numerals?

1067 in Roman numerals is MLXVII.

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