Numberwise

1156

1156 is a year in the 12th century. The Hogen rebellion drew the warrior clans into court politics, beginning the rise of the samurai (Japan).

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Where 1156 fits

Where 1156 fits: Mathematics, HistoryMathematics: Perfect square, Powerful number. History: Historical years.MathematicsPerfect squarePowerful numberHistoryHistorical years1156
1156 connects to 2 worlds: mathematics, history.

Why 1156 is special

1156 has a profile because of what happened in it rather than because of any property of the number: the Hogen rebellion drew the warrior clans into court politics, beginning the rise of the samurai (Japan).

Factors & digit properties

Divisors (9)
1, 2, 4, 17, 34, 68, 289, 578, 1156
Prime factorisation
2^2 × 17^2
Digit sum
13
Digital root
4

Representations

Decimal
1156
Scientific notation
1.156 × 10^3

Roman numerals

M C L V I

Binary

1 0 0 1 0 0 0 0 1 0 0

1 × 1,024 + 0 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,156

Octal

2 2 0 4

2 × 512 + 2 × 64 + 0 × 8 + 4 × 1 = 1,156

Hexadecimal

4 8 4

4 × 256 + 8 × 16 + 4 × 1 = 1,156

Read as powers of two: 1,024 + 128 + 4 = 1,156.

In historical numeral systems

Egyptian

1 lotus, 1 coil of rope, 5 hobbles, 6 strokes

1 × 1,000 + 1 × 100 + 5 × 10 + 6 × 1 = 1,156. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 corner wedge + 9 vertical wedges (sixties place), 1 corner wedge + 6 vertical wedges (units place)

19 × 60 + 16 = 1156. 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

  • Deficient number
  • Powerful number

Related numbers & connections

Documented appearance
1156 is a year in the 12th century, in the 1150s.

1156 is a year in the 12th century, in the 1150s.

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

How is 1156 connected to another number? →

History

  • In 1156, the Hogen rebellion drew the warrior clans into court politics, beginning the rise of the samurai (Japan).

    DocumentedHistoryGeography: JapanPeriod: 1156

Common questions

Is 1156 a prime number?

No, 1156 is not prime.

What are the factors of 1156?

The factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156.

What is 1156 in Roman numerals?

1156 in Roman numerals is MCLVI.

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