1664
1664 is the year New Amsterdam became New York.
- Even
- Composite
Where 1664 fits
Why 1664 is special
The Dutch surrendered the colony to an English fleet without a fight, and later traded any claim to it for Suriname, which was then considered the better deal.
1664 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664
- Prime factorisation
- 2^7 × 13
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 1664
- Scientific notation
- 1.664 × 10^3
Roman numerals
M D C L X I V
MDCLXIV uses the subtractive pair IV: one before five — five minus one.
Binary
1 1 0 1 0 0 0 0 0 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,664
Octal
3 2 0 0
3 × 512 + 2 × 64 + 0 × 8 + 0 × 1 = 1,664
Hexadecimal
6 8 0
6 × 256 + 8 × 16 + 0 × 1 = 1,664
Read as powers of two: 1,024 + 512 + 128 = 1,664.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 6 hobbles, 4 strokes
1 × 1,000 + 6 × 100 + 6 × 10 + 4 × 1 = 1,664. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 7 vertical wedges (sixties place), 4 corner wedges + 4 vertical wedges (units place)
27 × 60 + 44 = 1664. 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
1664 is a year in the 17th century, in the 1660s.
The Dutch surrendered New Amsterdam in 1664 and accepted Suriname in the 1667 settlement, which made economic sense when sugar mattered more than a northern trading post.
View 1667 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- developed from1667
why?
Strength 0.50, confidence "high".
History
In 1664, the English took New Amsterdam and renamed it New York (North America).
DocumentedHistoryGeography: North AmericaPeriod: 1664The Netherlands relinquished New Amsterdam and subsequently accepted Suriname in a settlement, a trade that made economic sense in 1667 when sugar mattered more than a northern trading post.
DocumentedHistoryGeography: North AmericaPeriod: 1664
Common questions
Is 1664 a prime number?
No, 1664 is not prime.
What are the factors of 1664?
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664.
What is 1664 in Roman numerals?
1664 in Roman numerals is MDCLXIV. IV is subtractive: one before five — five minus one. Written additively it would be MDCLXIIII, 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