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Number

1,664

1,664 is a composite number, even, a calendar year.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1664 AD

  1. Aug 27 The Dutch surrender New Amsterdam to the English; it is renamed New York.
  2. Aug 1 Ottoman forces are checked at St. Gotthard, ending their westward advance.
  3. Dec 17 An English fleet seizes Dutch posts on the African coast, escalating to war.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Tuesday
January 1, 1664
Ended on
Wednesday
December 31, 1664
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 13
Sunday, April 13, 1664
Decade
1660s
1660–1669
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
362
362 years before 2026.

In other calendars

Hebrew
5424 / 5425 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1074 / 1075 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2207 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1042 / 1043 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1656 / 1657 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1586 / 1585 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
4,661
Recamán's sequence
a(796) = 1,664
Square (n²)
2,768,896
Cube (n³)
4,607,442,944
Divisor count
16
σ(n) — sum of divisors
3,570
φ(n) — Euler's totient
768
Sum of prime factors
27

Primality

Prime factorization: 2 7 × 13

Nearest primes: 1,663 (−1) · 1,667 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 128 · 208 · 416 · 832 (half) · 1664
Aliquot sum (sum of proper divisors): 1,906
Factor pairs (a × b = 1,664)
1 × 1664
2 × 832
4 × 416
8 × 208
13 × 128
16 × 104
26 × 64
32 × 52
First multiples
1,664 · 3,328 (double) · 4,992 · 6,656 · 8,320 · 9,984 · 11,648 · 13,312 · 14,976 · 16,640

Sums & aliquot sequence

As a sum of two squares: 8² + 40²
As consecutive integers: 122 + 123 + … + 134
Aliquot sequence: 1,664 1,906 956 724 550 566 286 218 112 136 134 70 74 40 50 43 1 — unresolved within range

Representations

In words
one thousand six hundred sixty-four
Ordinal
1664th
Roman numeral
MDCLXIV
Binary
11010000000
Octal
3200
Hexadecimal
0x680
Base64
BoA=
One's complement
63,871 (16-bit)
In other bases
ternary (3) 2021122
quaternary (4) 122000
quinary (5) 23124
senary (6) 11412
septenary (7) 4565
nonary (9) 2248
undecimal (11) 1283
duodecimal (12) b68
tridecimal (13) 9b0
tetradecimal (14) 86c
pentadecimal (15) 75e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχξδʹ
Mayan (base 20)
𝋤·𝋣·𝋤
Chinese
一千六百六十四
Chinese (financial)
壹仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٦٦٤ Devanagari १६६४ Bengali ১৬৬৪ Tamil ௧௬௬௪ Thai ๑๖๖๔ Tibetan ༡༦༦༤ Khmer ១៦៦៤ Lao ໑໖໖໔ Burmese ၁၆၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,664 = 5
e — Euler's number (e)
Digit 1,664 = 6
φ — Golden ratio (φ)
Digit 1,664 = 6
√2 — Pythagoras's (√2)
Digit 1,664 = 4
ln 2 — Natural log of 2
Digit 1,664 = 0
γ — Euler-Mascheroni (γ)
Digit 1,664 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1664, here are decompositions:

  • 7 + 1657 = 1664
  • 37 + 1627 = 1664
  • 43 + 1621 = 1664
  • 67 + 1597 = 1664
  • 97 + 1567 = 1664
  • 181 + 1483 = 1664
  • 193 + 1471 = 1664
  • 211 + 1453 = 1664

Showing the first eight; more decompositions exist.

Unicode codepoint
ڀ
Arabic Letter Beheh
U+0680
Other letter (Lo)

UTF-8 encoding: DA 80 (2 bytes).

Hex color
#000680
RGB(0, 6, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.128.

Address
0.0.6.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1664 first appears in π at position 4,742 of the decimal expansion (the 4,742ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.