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Number

1,668

1,668 is a composite number, even, a calendar year.

Abundant Number Evil Number Flippable Recamán's Sequence Semiperfect Number Year

Notable events — 1668 AD

  1. May 2 The Treaty of Aix-la-Chapelle ends the War of Devolution.
  2. Feb 13 Spain recognizes Portuguese independence by the Treaty of Lisbon.
  3. Nov 25 The Triple Alliance of the Dutch, English, and Swedes counters France.

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
Sunday
January 1, 1668
Ended on
Monday
December 31, 1668
Friday the 13ths
3
3 Friday the 13ths this year.
Easter Sunday
April 1
Sunday, April 1, 1668
Decade
1660s
1660–1669
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
358
358 years before 2026.

In other calendars

Hebrew
5428 / 5429 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1078 / 1079 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2211 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1046 / 1047 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1660 / 1661 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1590 / 1589 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
21
Digit product
288
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
8,661
Flips to (rotate 180°)
8,991
Recamán's sequence
a(804) = 1,668
Square (n²)
2,782,224
Cube (n³)
4,640,749,632
Divisor count
12
σ(n) — sum of divisors
3,920
φ(n) — Euler's totient
552
Sum of prime factors
146

Primality

Prime factorization: 2 2 × 3 × 139

Nearest primes: 1,667 (−1) · 1,669 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 139 · 278 · 417 · 556 · 834 (half) · 1668
Aliquot sum (sum of proper divisors): 2,252
Factor pairs (a × b = 1,668)
1 × 1668
2 × 834
3 × 556
4 × 417
6 × 278
12 × 139
First multiples
1,668 · 3,336 (double) · 5,004 · 6,672 · 8,340 · 10,008 · 11,676 · 13,344 · 15,012 · 16,680

Sums & aliquot sequence

As consecutive integers: 555 + 556 + 557 205 + 206 + … + 212 58 + 59 + … + 81
Aliquot sequence: 1,668 2,252 1,696 1,706 856 764 580 680 940 1,076 814 554 280 440 640 890 730 — unresolved within range

Representations

In words
one thousand six hundred sixty-eight
Ordinal
1668th
Roman numeral
MDCLXVIII
Binary
11010000100
Octal
3204
Hexadecimal
0x684
Base64
BoQ=
One's complement
63,867 (16-bit)
In other bases
ternary (3) 2021210
quaternary (4) 122010
quinary (5) 23133
senary (6) 11420
septenary (7) 4602
nonary (9) 2253
undecimal (11) 1287
duodecimal (12) b70
tridecimal (13) 9b4
tetradecimal (14) 872
pentadecimal (15) 763

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχξηʹ
Mayan (base 20)
𝋤·𝋣·𝋨
Chinese
一千六百六十八
Chinese (financial)
壹仟陸佰陸拾捌
In other modern scripts
Eastern Arabic ١٦٦٨ Devanagari १६६८ Bengali ১৬৬৮ Tamil ௧௬௬௮ Thai ๑๖๖๘ Tibetan ༡༦༦༨ Khmer ១៦៦៨ Lao ໑໖໖໘ Burmese ၁၆၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,668 = 3
e — Euler's number (e)
Digit 1,668 = 3
φ — Golden ratio (φ)
Digit 1,668 = 7
√2 — Pythagoras's (√2)
Digit 1,668 = 6
ln 2 — Natural log of 2
Digit 1,668 = 6
γ — Euler-Mascheroni (γ)
Digit 1,668 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1668, here are decompositions:

  • 5 + 1663 = 1668
  • 11 + 1657 = 1668
  • 31 + 1637 = 1668
  • 41 + 1627 = 1668
  • 47 + 1621 = 1668
  • 59 + 1609 = 1668
  • 61 + 1607 = 1668
  • 67 + 1601 = 1668

Showing the first eight; more decompositions exist.

Unicode codepoint
ڄ
Arabic Letter Dyeh
U+0684
Other letter (Lo)

UTF-8 encoding: DA 84 (2 bytes).

Hex color
#000684
RGB(0, 6, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.132.

Address
0.0.6.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.132

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

Position in π

The digit sequence 1668 first appears in π at position 4,128 of the decimal expansion (the 4,128ordinal-suffix:th 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.