395
395 is the year the Roman Empire divided permanently into east and west.
- Odd
- Composite
Where 395 fits
Why 395 is special
Theodosius left the empire to two sons and it was never reunited. The eastern half outlived the western by nearly a thousand years.
Factors & digit properties
- Divisors (4)
- 1, 5, 79, 395
- Prime factorisation
- 5 × 79
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 395
- Scientific notation
- 3.950 × 10^2
Roman numerals
C C C X C V
CCCXCV uses the subtractive pair XC: ten before a hundred — a hundred minus ten.
Binary
1 1 0 0 0 1 0 1 1
1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 395
Octal
6 1 3
6 × 64 + 1 × 8 + 3 × 1 = 395
Hexadecimal
1 8 b
1 × 256 + 8 × 16 + b × 1 = 395
Read as powers of two: 256 + 128 + 8 + 2 + 1 = 395.
In historical numeral systems
Egyptian
3 coils of rope, 9 hobbles, 5 strokes
3 × 100 + 9 × 10 + 5 × 1 = 395. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
6 vertical wedges (sixties place), 3 corner wedges + 5 vertical wedges (units place)
6 × 60 + 35 = 395. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
tau, then koppa, then epsilon, marked as a numeral
tau-koppa-epsilon + keraia
tau + koppa + epsilon written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
shin, then tsadi, then he
shin-tsadi-he
shin (300) + tsadi (90) + he (5) = 395, written in descending order.
Maya
3 bars + 4 dots (upper, twenties place) over 3 bars (lower, units place)
19 × 20 + 15 = 395. Places stack vertically with the smallest at the bottom, so the upper group is worth twenty times the lower.
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
Constantinople was founded as an imperial capital in 330 and the empire divided permanently in 395. The eastern half, governed from that city, outlived the western by nearly a thousand years.
View 330 →Other connections
- developed from330
why?
Strength 0.50, confidence "high".
History
Rome had been administratively split before, but the 395 division held. The western half fell within eighty-one years and the eastern continued to 1453.
DocumentedHistoryGeography: Roman EmpirePeriod: 395
Common questions
Is 395 a prime number?
No, 395 is not prime.
What are the factors of 395?
The factors of 395 are 1, 5, 79, 395.
What is 395 in Roman numerals?
395 in Roman numerals is CCCXCV. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be CCCLXXXXV, 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