1542
1542 is the year the first Europeans reached Japan.
- Even
- Composite
Where 1542 fits
Why 1542 is special
Portuguese traders arrived by accident after a storm, bringing firearms that Japanese smiths reproduced within a decade and improved. Japan then largely abandoned guns for two centuries.
1542 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 3, 6, 257, 514, 771, 1542
- Prime factorisation
- 2 × 3 × 257
- Digit sum
- 12
- Digital root
- 3
Representations
- Decimal
- 1542
- Scientific notation
- 1.542 × 10^3
Roman numerals
M D X L I I
MDXLII uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 0 0 0 0 0 0 1 1 0
1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,542
Octal
3 0 0 6
3 × 512 + 0 × 64 + 0 × 8 + 6 × 1 = 1,542
Hexadecimal
6 0 6
6 × 256 + 0 × 16 + 6 × 1 = 1,542
Read as powers of two: 1,024 + 512 + 4 + 2 = 1,542.
In historical numeral systems
Egyptian
1 lotus, 5 coils of rope, 4 hobbles, 2 strokes
1 × 1,000 + 5 × 100 + 4 × 10 + 2 × 1 = 1,542. 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), 4 corner wedges + 2 vertical wedges (units place)
25 × 60 + 42 = 1542. 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
- Abundant number
Related numbers & connections
1542 is a year in the 16th century, in the 1540s.
Europeans reached Japan in 1542 and Japan modernised deliberately from 1868. Between them lie two centuries in which it adopted firearms and then largely gave them up.
View 1868 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with1868
why?
Strength 0.50, confidence "high".
History
In 1542, Juan Rodríguez Cabrillo reached the coast of present-day California, the first European expedition to do so (North America).
DocumentedHistoryGeography: North AmericaPeriod: 1542Japan copied and improved European firearms within years of first contact, then substantially gave them up under Tokugawa policy. Technological reversal by choice is rare enough to be worth recording.
DocumentedHistoryGeography: JapanPeriod: around 1542
Common questions
Is 1542 a prime number?
No, 1542 is not prime.
What are the factors of 1542?
The factors of 1542 are 1, 2, 3, 6, 257, 514, 771, 1542.
What is 1542 in Roman numerals?
1542 in Roman numerals is MDXLII. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDXXXXII, 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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026