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1092

1092 is a year in the 11th century. Su Song completed an astronomical clock tower driven by an escapement, the earliest known mechanism of its kind (China).

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Where 1092 fits

Where 1092 fits: Mathematics, HistoryMathematics: Happy number, Harshad (Niven) number. History: Historical years.MathematicsHappy numberHarshad (Niven) numberHistoryHistorical years1092
1092 connects to 2 worlds: mathematics, history.

Why 1092 is special

1092 has a profile because of what happened in it rather than because of any property of the number: Su Song completed an astronomical clock tower driven by an escapement, the earliest known mechanism of its kind (China).

Factors & digit properties

Divisors (24)
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092
Prime factorisation
2^2 × 3 × 7 × 13
Digit sum
12
Digital root
3

Representations

Decimal
1092
Scientific notation
1.092 × 10^3

Roman numerals

M X C I I

MXCII uses the subtractive pair XC: ten before a hundred — a hundred minus ten.

Binary

1 0 0 0 1 0 0 0 1 0 0

1 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,092

Octal

2 1 0 4

2 × 512 + 1 × 64 + 0 × 8 + 4 × 1 = 1,092

Hexadecimal

4 4 4

4 × 256 + 4 × 16 + 4 × 1 = 1,092

Read as powers of two: 1,024 + 64 + 4 = 1,092.

In historical numeral systems

Egyptian

1 lotus, 9 hobbles, 2 strokes

1 × 1,000 + 9 × 10 + 2 × 1 = 1,092. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 corner wedge + 8 vertical wedges (sixties place), 1 corner wedge + 2 vertical wedges (units place)

18 × 60 + 12 = 1092. 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
1092 is a year in the 11th century, in the 1090s.

1092 is a year in the 11th century, in the 1090s.

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

How is 1092 connected to another number? →

Technology & computing

  • In 1092, Su Song completed an astronomical clock tower driven by an escapement, the earliest known mechanism of its kind (China).

    DocumentedTechnology & computingGeography: ChinaPeriod: 1092

Common questions

Is 1092 a prime number?

No, 1092 is not prime.

What are the factors of 1092?

The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092.

What is 1092 in Roman numerals?

1092 in Roman numerals is MXCII. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be MLXXXXII, 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