537
537 is the year Hagia Sophia was completed.
- Odd
- Composite
Where 537 fits
Why 537 is special
Its dome was the largest in the world for nearly a thousand years, and it has been a church, a mosque, a museum and a mosque again. Few buildings have changed function that many times while standing.
Factors & digit properties
- Divisors (4)
- 1, 3, 179, 537
- Prime factorisation
- 3 × 179
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 537
- Scientific notation
- 5.370 × 10^2
Roman numerals
D X X X V I I
Binary
1 0 0 0 0 1 1 0 0 1
1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 537
Octal
1 0 3 1
1 × 512 + 0 × 64 + 3 × 8 + 1 × 1 = 537
Hexadecimal
2 1 9
2 × 256 + 1 × 16 + 9 × 1 = 537
Read as powers of two: 512 + 16 + 8 + 1 = 537.
In historical numeral systems
Egyptian
5 coils of rope, 3 hobbles, 7 strokes
5 × 100 + 3 × 10 + 7 × 1 = 537. 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), 5 corner wedges + 7 vertical wedges (units place)
8 × 60 + 57 = 537. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
phi, then lambda, then zeta, marked as a numeral
phi-lambda-zeta + keraia
phi + lambda + zeta 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 lamed, then zayin
tav-qof-lamed-zayin
tav (400) + qof (100) + lamed (30) + zayin (7) = 537, 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
- Semiprime
- Lucky number (mathematical sieve)
Related numbers & connections
Hagia Sophia was completed in 537 in the city founded as a capital in 330, and its dome was the largest in the world for nearly a millennium.
View 330 →Other connections
- is associated with330
why?
Strength 0.50, confidence "high".
History
Hagia Sophia was completed in 537 as a cathedral, converted to a mosque in 1453, made a museum in 1935 and returned to a mosque in 2020. The structure has outlasted every state that reassigned it.
DocumentedHistoryGeography: ConstantinoplePeriod: 537
Common questions
Is 537 a prime number?
No, 537 is not prime.
What are the factors of 537?
The factors of 537 are 1, 3, 179, 537.
What is 537 in Roman numerals?
537 in Roman numerals is DXXXVII.
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