Numberwise

1584

1584 is the year William of Orange was assassinated.

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Where 1584 fits

Where 1584 fits: Mathematics, History, Related numbersMathematics: Harshad (Niven) number. History: Historical years. Related numbers: 1568.MathematicsHarshad (Niven) numberHistoryHistorical yearsRelated numbers15681584
1584 connects to 3 worlds: mathematics, history, related numbers.

Why 1584 is special

He was among the first heads of state killed with a handgun, and the assassin had been promised a large reward by Philip II in a public proclamation.

1584 is part of

Factors & digit properties

Divisors (30)
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
Prime factorisation
2^4 × 3^2 × 11
Digit sum
18
Digital root
9

Representations

Decimal
1584
Scientific notation
1.584 × 10^3

Roman numerals

M D L X X X I V

MDLXXXIV uses the subtractive pair IV: one before five — five minus one.

Binary

1 1 0 0 0 1 1 0 0 0 0

1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,584

Octal

3 0 6 0

3 × 512 + 0 × 64 + 6 × 8 + 0 × 1 = 1,584

Hexadecimal

6 3 0

6 × 256 + 3 × 16 + 0 × 1 = 1,584

Read as powers of two: 1,024 + 512 + 32 + 16 = 1,584.

In historical numeral systems

Egyptian

1 lotus, 5 coils of rope, 8 hobbles, 4 strokes

1 × 1,000 + 5 × 100 + 8 × 10 + 4 × 1 = 1,584. 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 + 4 vertical wedges (units place)

26 × 60 + 24 = 1584. 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
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1584 is a year in the 16th century, in the 1580s.

1584 is a year in the 16th century, in the 1580s.

Connection
William of Orange led the revolt from 1568 and was assassinated in 1584, after Philip II publicly offered a reward for his death.

William of Orange led the revolt from 1568 and was assassinated in 1584, after Philip II publicly offered a reward for his death.

View 1568

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1568
    why?

    Strength 0.50, confidence "high".

How is 1584 connected to another number? →

History

  • In 1584, Walter Raleigh's expedition reached the Outer Banks, beginning the attempts at an English colony at Roanoke (North America).

    DocumentedHistoryGeography: North AmericaPeriod: 1584
  • Philip II publicly offered a reward for William of Orange's death in 1580 and it was collected in 1584. The killing is among the earliest political assassinations carried out with a firearm.

    DocumentedHistoryGeography: NetherlandsPeriod: 1584

Common questions

Is 1584 a prime number?

No, 1584 is not prime.

What are the factors of 1584?

The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584.

What is 1584 in Roman numerals?

1584 in Roman numerals is MDLXXXIV. IV is subtractive: one before five — five minus one. Written additively it would be MDLXXXIIII, 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