1532
1532 is the year Pizarro captured the Inca emperor at Cajamarca.
- Even
- Composite
Where 1532 fits
Why 1532 is special
Fewer than 200 Spaniards took Atahualpa from an army of tens of thousands. Smallpox had already killed the previous emperor and triggered a civil war, which is the context that makes the outcome comprehensible.
1532 is part of
Factors & digit properties
- Divisors (6)
- 1, 2, 4, 383, 766, 1532
- Prime factorisation
- 2^2 × 383
- Digit sum
- 11
- Digital root
- 2
Representations
- Decimal
- 1532
- Scientific notation
- 1.532 × 10^3
Roman numerals
M D X X X I I
Binary
1 0 1 1 1 1 1 1 1 0 0
1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,532
Octal
2 7 7 4
2 × 512 + 7 × 64 + 7 × 8 + 4 × 1 = 1,532
Hexadecimal
5 f c
5 × 256 + f × 16 + c × 1 = 1,532
Read as powers of two: 1,024 + 256 + 128 + 64 + 32 + 16 + 8 + 4 = 1,532.
In historical numeral systems
Egyptian
1 lotus, 5 coils of rope, 3 hobbles, 2 strokes
1 × 1,000 + 5 × 100 + 3 × 10 + 2 × 1 = 1,532. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 5 vertical wedges (sixties place), 3 corner wedges + 2 vertical wedges (units place)
25 × 60 + 32 = 1532. 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
Related numbers & connections
1532 is a year in the 16th century, in the 1530s.
The Aztec Triple Alliance formed in 1428 and Pizarro captured the Inca emperor in 1532. Both empires the Spanish encountered were recent, and both fell to disease as much as to conquest.
View 1428 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with1428
why?
Strength 0.50, confidence "high".
History
In 1532, Francisco Pizarro captured the Inca emperor Atahualpa at Cajamarca, beginning the Spanish conquest of Peru (South America).
DocumentedHistoryGeography: South AmericaPeriod: 1532Pizarro's capture of Atahualpa in 1532 followed a succession war caused by smallpox arriving ahead of the Spanish themselves. The disease preceded the conquistadors and did more than they did.
DocumentedHistoryGeography: PeruPeriod: 1532
Common questions
Is 1532 a prime number?
No, 1532 is not prime.
What are the factors of 1532?
The factors of 1532 are 1, 2, 4, 383, 766, 1532.
What is 1532 in Roman numerals?
1532 in Roman numerals is MDXXXII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026