529
529 is the year Justinian closed the Academy in Athens and issued his legal code.
Where 529 fits
Why 529 is special
The Academy had operated for roughly nine centuries. The Corpus Juris Civilis compiled centuries of Roman law and is the foundation of most European legal systems.
529 is part of
Factors & digit properties
- Divisors (3)
- 1, 23, 529
- Prime factorisation
- 23^2
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 529
- Scientific notation
- 5.290 × 10^2
Roman numerals
D X X I X
DXXIX uses the subtractive pair IX: one before ten — ten minus one.
Binary
1 0 0 0 0 1 0 0 0 1
1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 529
Octal
1 0 2 1
1 × 512 + 0 × 64 + 2 × 8 + 1 × 1 = 529
Hexadecimal
2 1 1
2 × 256 + 1 × 16 + 1 × 1 = 529
Read as powers of two: 512 + 16 + 1 = 529.
In historical numeral systems
Egyptian
5 coils of rope, 2 hobbles, 9 strokes
5 × 100 + 2 × 10 + 9 × 1 = 529. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
8 vertical wedges (sixties place), 4 corner wedges + 9 vertical wedges (units place)
8 × 60 + 49 = 529. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
phi, then kappa, then theta, marked as a numeral
phi-kappa-theta + keraia
phi + kappa + theta 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 qof, then kaf, then tet
tav-qof-kaf-tet
tav (400) + qof (100) + kaf (20) + tet (9) = 529, 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
- Powerful number
- Semiprime
- Lucky number (mathematical sieve)
Law & regulation
Justinian's compilation from 529 organised a thousand years of Roman law into a usable body. Rediscovered in the eleventh century, it became the basis of civil law across continental Europe.
DocumentedLaw & regulationGeography: Byzantine EmpirePeriod: 529
Common questions
Is 529 a prime number?
No, 529 is not prime.
What are the factors of 529?
The factors of 529 are 1, 23, 529.
What is 529 in Roman numerals?
529 in Roman numerals is DXXIX. IX is subtractive: one before ten — ten minus one. Written additively it would be DXXVIIII, 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