753
753 BC is the traditional founding date of Rome.
- Odd
- Composite
Where 753 fits
Why 753 is special
Romans dated years ab urbe condita — from the founding of the city — using it. Archaeology shows settlement on the site well before, so the date marks a story rather than an event.
Factors & digit properties
- Divisors (4)
- 1, 3, 251, 753
- Prime factorisation
- 3 × 251
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 753
- Scientific notation
- 7.530 × 10^2
Roman numerals
D C C L I I I
Binary
1 0 1 1 1 1 0 0 0 1
1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 753
Octal
1 3 6 1
1 × 512 + 3 × 64 + 6 × 8 + 1 × 1 = 753
Hexadecimal
2 f 1
2 × 256 + f × 16 + 1 × 1 = 753
Read as powers of two: 512 + 128 + 64 + 32 + 16 + 1 = 753.
In historical numeral systems
Egyptian
7 coils of rope, 5 hobbles, 3 strokes
7 × 100 + 5 × 10 + 3 × 1 = 753. 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), 3 corner wedges + 3 vertical wedges (units place)
12 × 60 + 33 = 753. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
psi, then nu, then gamma, marked as a numeral
psi-nu-gamma + keraia
psi + nu + 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 nun, then gimel
tav-shin-nun-gimel
tav (400) + shin (300) + nun (50) + gimel (3) = 753, 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
Related numbers & connections
Rome counted years from its traditional founding in 753 BC and the western empire ended in 476. The span is about 1,229 years, and both dates are conventions rather than documented events.
View 476 →History
Rome counted years from 753 BC, a date derived from legend rather than record. Archaeological evidence shows continuous settlement earlier, so the era used by an empire rested on a founding myth.
DocumentedHistoryGeography: RomePeriod: 753 BC
Common questions
Is 753 a prime number?
No, 753 is not prime.
What are the factors of 753?
The factors of 753 are 1, 3, 251, 753.
What is 753 in Roman numerals?
753 in Roman numerals is DCCLIII.
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