1582
1582 is the year the Gregorian calendar was introduced.
- Even
- Composite
Where 1582 fits
Why 1582 is special
Ten days were removed from October to correct the drift that had accumulated under the Julian calendar. Catholic countries adopted it immediately, Protestant and Orthodox ones took centuries, and for a long stretch of European history the date depended on which country you were standing in.
Same number, different meanings
How 1582 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Ten days were removed from October to correct the drift that had accumulated under the Julian calendar. Catholic countries adopted it immediately, Protestant and Orthodox ones took centuries, and for a long stretch of European history the date depended on which country you were standing in.
- History
In 1582, the Gregorian calendar was introduced, correcting the drift of the Julian calendar (Catholic Europe).
- Science
The Gregorian reform deleted ten days to correct accumulated Julian drift. Catholic states adopted it at once and Protestant and Orthodox ones took centuries, so for a long period the date genuinely depended on which country you were standing in — a real problem for dating correspondence and contracts.
1582 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 7, 14, 113, 226, 791, 1582
- Prime factorisation
- 2 × 7 × 113
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 1582
- Scientific notation
- 1.582 × 10^3
Roman numerals
M D L X X X I I
Binary
1 1 0 0 0 1 0 1 1 1 0
1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,582
Octal
3 0 5 6
3 × 512 + 0 × 64 + 5 × 8 + 6 × 1 = 1,582
Hexadecimal
6 2 e
6 × 256 + 2 × 16 + e × 1 = 1,582
Read as powers of two: 1,024 + 512 + 32 + 8 + 4 + 2 = 1,582.
In historical numeral systems
Egyptian
1 lotus, 5 coils of rope, 8 hobbles, 2 strokes
1 × 1,000 + 5 × 100 + 8 × 10 + 2 × 1 = 1,582. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 6 vertical wedges (sixties place), 2 corner wedges + 2 vertical wedges (units place)
26 × 60 + 22 = 1582. 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
- Happy number
Related numbers & connections
1582 is a year in the 16th century, in the 1580s.
The Gregorian reform of 1582 was an adjustment to the remainder a 365-day calendar leaves behind.
View 365 →History
In 1582, the Gregorian calendar was introduced, correcting the drift of the Julian calendar (Catholic Europe).
DocumentedHistoryGeography: Catholic EuropePeriod: 1582
Science
The Gregorian reform deleted ten days to correct accumulated Julian drift. Catholic states adopted it at once and Protestant and Orthodox ones took centuries, so for a long period the date genuinely depended on which country you were standing in — a real problem for dating correspondence and contracts.
DocumentedSciencePeriod: 1582
Common questions
Is 1582 a prime number?
No, 1582 is not prime.
What are the factors of 1582?
The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582.
What is 1582 in Roman numerals?
1582 in Roman numerals is MDLXXXII.
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