1046
1046 BC is a commonly cited date for the founding of the Zhou dynasty.
- Even
- Composite
Where 1046 fits
Why 1046 is special
The Zhou ruled longer than any other Chinese dynasty and introduced the Mandate of Heaven — the idea that a ruler holds power conditionally and can forfeit it, which shaped Chinese political thought for three thousand years.
1046 is part of
Factors & digit properties
- Divisors (4)
- 1, 2, 523, 1046
- Prime factorisation
- 2 × 523
- Digit sum
- 11
- Digital root
- 2
Representations
- Decimal
- 1046
- Scientific notation
- 1.046 × 10^3
Roman numerals
M X L V I
MXLVI uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 0 0 0 0 0 1 0 1 1 0
1 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,046
Octal
2 0 2 6
2 × 512 + 0 × 64 + 2 × 8 + 6 × 1 = 1,046
Hexadecimal
4 1 6
4 × 256 + 1 × 16 + 6 × 1 = 1,046
Read as powers of two: 1,024 + 16 + 4 + 2 = 1,046.
In historical numeral systems
Egyptian
1 lotus, 4 hobbles, 6 strokes
1 × 1,000 + 4 × 10 + 6 × 1 = 1,046. 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), 2 corner wedges + 6 vertical wedges (units place)
17 × 60 + 26 = 1046. 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
- Semiprime
Related numbers & connections
1046 is a year in the 11th century, in the 1040s.
The Zhou dynasty from around 1046 BC introduced the Mandate of Heaven, and every subsequent dynastic overthrow invoked it — including the Ming collapse in 1644.
View 1644 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with1644
why?
Strength 0.50, confidence "high".
History
In 1046, the Synod of Sutri deposed three rival claimants to the papacy at once (Italy).
DocumentedHistoryGeography: ItalyPeriod: 1046The Zhou justified overthrowing the Shang with the Mandate of Heaven, which holds that rule is conditional on just government. The same doctrine legitimised every subsequent dynastic overthrow.
DocumentedHistoryGeography: ChinaPeriod: around 1046 BC
Common questions
Is 1046 a prime number?
No, 1046 is not prime.
What are the factors of 1046?
The factors of 1046 are 1, 2, 523, 1046.
What is 1046 in Roman numerals?
1046 in Roman numerals is MXLVI. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MXXXXVI, 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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026