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Number

1,666

1,666 is a composite number, even, a calendar year.

Deficient Number Evil Number Flippable Happy Number Recamán's Sequence Year

Notable events — 1666 AD

  1. Sep 2 The Great Fire of London destroys much of the city.
  2. Apr 30 Isaac Newton begins his "miracle years" of scientific discovery while sheltering from the plague.
  3. Sep 5 King Charles II returns to a still-burning London.

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

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Friday
January 1, 1666
Ended on
Friday
December 31, 1666
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 25
Sunday, April 25, 1666
Decade
1660s
1660–1669
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
360
360 years before 2026.

In other calendars

Hebrew
5426 / 5427 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1076 / 1077 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Horse
Sexagenary cycle position 43 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2209 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1044 / 1045 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1658 / 1659 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1588 / 1587 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
216
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
6,661
Flips to (rotate 180°)
9,991
Recamán's sequence
a(800) = 1,666
Square (n²)
2,775,556
Cube (n³)
4,624,076,296
Divisor count
12
σ(n) — sum of divisors
3,078
φ(n) — Euler's totient
672
Sum of prime factors
33

Primality

Prime factorization: 2 × 7 2 × 17

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

Divisors & multiples

All divisors (12)
1 · 2 · 7 · 14 · 17 · 34 · 49 · 98 · 119 · 238 · 833 (half) · 1666
Aliquot sum (sum of proper divisors): 1,412
Factor pairs (a × b = 1,666)
1 × 1666
2 × 833
7 × 238
14 × 119
17 × 98
34 × 49
First multiples
1,666 · 3,332 (double) · 4,998 · 6,664 · 8,330 · 9,996 · 11,662 · 13,328 · 14,994 · 16,660

Sums & aliquot sequence

As a sum of two squares: 21² + 35²
As consecutive integers: 415 + 416 + 417 + 418 235 + 236 + … + 241 90 + 91 + … + 106 46 + 47 + … + 73
Aliquot sequence: 1,666 1,412 1,066 698 352 404 310 266 214 110 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand six hundred sixty-six
Ordinal
1666th
Roman numeral
MDCLXVI
Binary
11010000010
Octal
3202
Hexadecimal
0x682
Base64
BoI=
One's complement
63,869 (16-bit)
In other bases
ternary (3) 2021201
quaternary (4) 122002
quinary (5) 23131
senary (6) 11414
septenary (7) 4600
nonary (9) 2251
undecimal (11) 1285
duodecimal (12) b6a
tridecimal (13) 9b2
tetradecimal (14) 870
pentadecimal (15) 761

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχξϛʹ
Mayan (base 20)
𝋤·𝋣·𝋦
Chinese
一千六百六十六
Chinese (financial)
壹仟陸佰陸拾陸
In other modern scripts
Eastern Arabic ١٦٦٦ Devanagari १६६६ Bengali ১৬৬৬ Tamil ௧௬௬௬ Thai ๑๖๖๖ Tibetan ༡༦༦༦ Khmer ១៦៦៦ Lao ໑໖໖໖ Burmese ၁၆၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,666 = 2
e — Euler's number (e)
Digit 1,666 = 2
φ — Golden ratio (φ)
Digit 1,666 = 3
√2 — Pythagoras's (√2)
Digit 1,666 = 3
ln 2 — Natural log of 2
Digit 1,666 = 0
γ — Euler-Mascheroni (γ)
Digit 1,666 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1666, here are decompositions:

  • 3 + 1663 = 1666
  • 29 + 1637 = 1666
  • 47 + 1619 = 1666
  • 53 + 1613 = 1666
  • 59 + 1607 = 1666
  • 83 + 1583 = 1666
  • 107 + 1559 = 1666
  • 113 + 1553 = 1666

Showing the first eight; more decompositions exist.

Unicode codepoint
ڂ
Arabic Letter Hah With Two Dots Vertical Above
U+0682
Other letter (Lo)

UTF-8 encoding: DA 82 (2 bytes).

Hex color
#000682
RGB(0, 6, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.130.

Address
0.0.6.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.130

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

Position in π

The digit sequence 1666 first appears in π at position 5,402 of the decimal expansion (the 5,402ordinal-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.