Numberwise

1569

1569 is the year Mercator published his projection.

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Where 1569 fits

Where 1569 fits: Mathematics, History, Related numbersMathematics: Semiprime. History: Historical years. Related numbers: 1595.MathematicsSemiprimeHistoryHistorical yearsRelated numbers15951569
1569 connects to 3 worlds: mathematics, history, related numbers.

Why 1569 is special

It preserves angles, which makes it ideal for navigation and badly distorts area, which makes it misleading as a picture of the world. Both properties follow from the same mathematics.

Same number, different meanings

How 1569 is understood across different contexts — never implying one meaning because of another.

1569 is part of

Factors & digit properties

Divisors (4)
1, 3, 523, 1569
Prime factorisation
3 × 523
Digit sum
21
Digital root
3

Representations

Decimal
1569
Scientific notation
1.569 × 10^3

Roman numerals

M D L X I X

MDLXIX uses the subtractive pair IX: one before ten — ten minus one.

Binary

1 1 0 0 0 1 0 0 0 0 1

1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 1,569

Octal

3 0 4 1

3 × 512 + 0 × 64 + 4 × 8 + 1 × 1 = 1,569

Hexadecimal

6 2 1

6 × 256 + 2 × 16 + 1 × 1 = 1,569

Read as powers of two: 1,024 + 512 + 32 + 1 = 1,569.

In historical numeral systems

Egyptian

1 lotus, 5 coils of rope, 6 hobbles, 9 strokes

1 × 1,000 + 5 × 100 + 6 × 10 + 9 × 1 = 1,569. 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), 9 vertical wedges (units place)

26 × 60 + 9 = 1569. 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

Related numbers & connections

Documented appearance
1569 is a year in the 16th century, in the 1560s.

1569 is a year in the 16th century, in the 1560s.

Connection
Mercator devised his projection in 1569 and his posthumous 1595 collection gave English the word atlas.

Mercator devised his projection in 1569 and his posthumous 1595 collection gave English the word atlas.

View 1595

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1595
    why?

    Strength 0.50, confidence "high".

How is 1569 connected to another number? →

Technology & computing

  • In 1569, Gerardus Mercator published his world map using the projection that still bears his name (Europe).

    DocumentedTechnology & computingGeography: EuropePeriod: 1569

Geography

  • Mercator's projection keeps compass bearings straight, which is exactly what a navigator needs, at the cost of inflating land near the poles. Criticism of it as a world map is criticism of using a navigation tool for a different job.

    DocumentedGeographyPeriod: 1569

Common questions

Is 1569 a prime number?

No, 1569 is not prime.

What are the factors of 1569?

The factors of 1569 are 1, 3, 523, 1569.

What is 1569 in Roman numerals?

1569 in Roman numerals is MDLXIX. IX is subtractive: one before ten — ten minus one. Written additively it would be MDLXVIIII, 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