1438
1438 is a year in the 15th century. Pachacuti began the expansion that turned Cusco into the Inca empire (South America).
- Even
- Composite
Where 1438 fits
Why 1438 is special
1438 has a profile because of what happened in it rather than because of any property of the number: Pachacuti began the expansion that turned Cusco into the Inca empire (South America).
1438 is part of
Factors & digit properties
- Divisors (4)
- 1, 2, 719, 1438
- Prime factorisation
- 2 × 719
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 1438
- Scientific notation
- 1.438 × 10^3
Roman numerals
M C D X X X V I I I
MCDXXXVIII uses the subtractive pair CD: a hundred before five hundred — five hundred minus a hundred.
Binary
1 0 1 1 0 0 1 1 1 1 0
1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,438
Octal
2 6 3 6
2 × 512 + 6 × 64 + 3 × 8 + 6 × 1 = 1,438
Hexadecimal
5 9 e
5 × 256 + 9 × 16 + e × 1 = 1,438
Read as powers of two: 1,024 + 256 + 128 + 16 + 8 + 4 + 2 = 1,438.
In historical numeral systems
Egyptian
1 lotus, 4 coils of rope, 3 hobbles, 8 strokes
1 × 1,000 + 4 × 100 + 3 × 10 + 8 × 1 = 1,438. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 3 vertical wedges (sixties place), 5 corner wedges + 8 vertical wedges (units place)
23 × 60 + 58 = 1438. Places are separated by a space on the tablet, with the higher place written first.
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
1438 is a year in the 15th century, in the 1430s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
History
In 1438, Pachacuti began the expansion that turned Cusco into the Inca empire (South America).
DocumentedHistoryGeography: South AmericaPeriod: 1438
Common questions
Is 1438 a prime number?
No, 1438 is not prime.
What are the factors of 1438?
The factors of 1438 are 1, 2, 719, 1438.
What is 1438 in Roman numerals?
1438 in Roman numerals is MCDXXXVIII. CD is subtractive: a hundred before five hundred — five hundred minus a hundred. Written additively it would be MCCCCXXXVIII, 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