Numberwise

1596

1596 is the year the flush toilet was described in print.

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Where 1596 fits

Where 1596 fits: Mathematics, History, Related numbersMathematics: Triangular number, Harshad (Niven) number. History: Historical years. Related numbers: 1858.MathematicsTriangular numberHarshad (Niven) numberHistoryHistorical yearsRelated numbers18581596
1596 connects to 3 worlds: mathematics, history, related numbers.

Why 1596 is special

John Harington designed one for Elizabeth I and published a description as part of a political satire. It was ignored for nearly two centuries before being reinvented.

Same number, different meanings

How 1596 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (24)
1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596
Prime factorisation
2^2 × 3 × 7 × 19
Digit sum
21
Digital root
3

Representations

Decimal
1596
Scientific notation
1.596 × 10^3

Roman numerals

M D X C V I

MDXCVI uses the subtractive pair XC: ten before a hundred — a hundred minus ten.

Binary

1 1 0 0 0 1 1 1 1 0 0

1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,596

Octal

3 0 7 4

3 × 512 + 0 × 64 + 7 × 8 + 4 × 1 = 1,596

Hexadecimal

6 3 c

6 × 256 + 3 × 16 + c × 1 = 1,596

Read as powers of two: 1,024 + 512 + 32 + 16 + 8 + 4 = 1,596.

In historical numeral systems

Egyptian

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

1 × 1,000 + 5 × 100 + 9 × 10 + 6 × 1 = 1,596. 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), 3 corner wedges + 6 vertical wedges (units place)

26 × 60 + 36 = 1596. 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

  • Triangular number
  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1596 is a year in the 16th century, in the 1590s.

1596 is a year in the 16th century, in the 1590s.

Connection
A flushing lavatory was described in print in 1596 and ignored for two centuries. London built a sewer system in 1858 only after the smell reached parliament.

A flushing lavatory was described in print in 1596 and ignored for two centuries. London built a sewer system in 1858 only after the smell reached parliament.

View 1858

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1858
    why?

    Strength 0.50, confidence "high".

How is 1596 connected to another number? →

History

  • In 1596, René Descartes was born in Touraine (France).

    DocumentedHistoryGeography: FrancePeriod: 1596

Technology & computing

  • Harington's 1596 flushing lavatory was described in a satirical pamphlet, installed for the queen, and then not developed further for almost 200 years. Publication is not the same as adoption.

    DocumentedTechnology & computingGeography: EnglandPeriod: 1596

Common questions

Is 1596 a prime number?

No, 1596 is not prime.

What are the factors of 1596?

The factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596.

What is 1596 in Roman numerals?

1596 in Roman numerals is MDXCVI. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be MDLXXXXVI, 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