763
763 is the year of a famine in Constantinople severe enough that the Bosphorus froze.
- Odd
- Composite
Where 763 fits
Why 763 is special
Contemporary accounts describe ice covering the strait, which is not a normal occurrence and is used as a data point in reconstructions of medieval climate.
763 is part of
Factors & digit properties
- Divisors (4)
- 1, 7, 109, 763
- Prime factorisation
- 7 × 109
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 763
- Scientific notation
- 7.630 × 10^2
Roman numerals
D C C L X I I I
Binary
1 0 1 1 1 1 1 0 1 1
1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 763
Octal
1 3 7 3
1 × 512 + 3 × 64 + 7 × 8 + 3 × 1 = 763
Hexadecimal
2 f b
2 × 256 + f × 16 + b × 1 = 763
Read as powers of two: 512 + 128 + 64 + 32 + 16 + 8 + 2 + 1 = 763.
In historical numeral systems
Egyptian
7 coils of rope, 6 hobbles, 3 strokes
7 × 100 + 6 × 10 + 3 × 1 = 763. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 2 vertical wedges (sixties place), 4 corner wedges + 3 vertical wedges (units place)
12 × 60 + 43 = 763. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
psi, then xi, then gamma, marked as a numeral
psi-xi-gamma + keraia
psi + xi + gamma 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 shin, then samekh, then gimel
tav-shin-samekh-gimel
tav (400) + shin (300) + samekh (60) + gimel (3) = 763, 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
- Happy number
- Semiprime
History
Byzantine chronicles record the Bosphorus freezing in 763, an event used alongside other documentary evidence in reconstructing medieval climate. Written records serve as proxy data where instruments do not exist.
DocumentedHistoryGeography: ConstantinoplePeriod: 763
Common questions
Is 763 a prime number?
No, 763 is not prime.
What are the factors of 763?
The factors of 763 are 1, 7, 109, 763.
What is 763 in Roman numerals?
763 in Roman numerals is DCCLXIII.
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