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Number

2,066

2,066 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree Year

Historical context — 2066 AD

Current millennium spanning the years 2001 to 3000

The third millennium of the Anno Domini or Common Era is the current millennium spanning the years 2001 to 3000.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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, 2066
Ended on
Friday
December 31, 2066
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 11
Sunday, April 11, 2066
Decade
2060s
2060–2069
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
40
40 years after 2026.
FIFA World Cup
Yes
Men's FIFA World Cup is held every four years (skipped 1942 and 1946 due to WWII).
Winter Olympics
Yes
Held in even years between Summer Games (2002, 2006, ...).

In other calendars

Hebrew
5826 / 5827 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1488 / 1489 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2609 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1444 / 1445 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2058 / 2059 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1988 / 1987 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 48
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
6,602
Recamán's sequence
a(3,619) = 2,066
Square (n²)
4,268,356
Cube (n³)
8,818,423,496
Divisor count
4
σ(n) — sum of divisors
3,102
φ(n) — Euler's totient
1,032
Sum of prime factors
1,035

Primality

Prime factorization: 2 × 1033

Nearest primes: 2,063 (−3) · 2,069 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 1033 (half) · 2066
Aliquot sum (sum of proper divisors): 1,036
Factor pairs (a × b = 2,066)
1 × 2066
2 × 1033
First multiples
2,066 · 4,132 (double) · 6,198 · 8,264 · 10,330 · 12,396 · 14,462 · 16,528 · 18,594 · 20,660

Sums & aliquot sequence

As a sum of two squares: 29² + 35²
As consecutive integers: 515 + 516 + 517 + 518
Aliquot sequence: 2,066 1,036 1,092 2,044 2,100 4,844 4,900 7,469 1,939 285 195 141 51 21 11 1 0 — terminates at zero

Representations

In words
two thousand sixty-six
Ordinal
2066th
Roman numeral
MMLXVI
Binary
100000010010
Octal
4022
Hexadecimal
0x812
Base64
CBI=
One's complement
63,469 (16-bit)
In other bases
ternary (3) 2211112
quaternary (4) 200102
quinary (5) 31231
senary (6) 13322
septenary (7) 6011
nonary (9) 2745
undecimal (11) 1609
duodecimal (12) 1242
tridecimal (13) c2c
tetradecimal (14) a78
pentadecimal (15) 92b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βξϛʹ
Mayan (base 20)
𝋥·𝋣·𝋦
Chinese
二千零六十六
Chinese (financial)
貳仟零陸拾陸
In other modern scripts
Eastern Arabic ٢٠٦٦ Devanagari २०६६ Bengali ২০৬৬ Tamil ௨௦௬௬ Thai ๒๐๖๖ Tibetan ༢༠༦༦ Khmer ២០៦៦ Lao ໒໐໖໖ Burmese ၂၀၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 2,066 = 6
e — Euler's number (e)
Digit 2,066 = 9
φ — Golden ratio (φ)
Digit 2,066 = 2
√2 — Pythagoras's (√2)
Digit 2,066 = 2
ln 2 — Natural log of 2
Digit 2,066 = 8
γ — Euler-Mascheroni (γ)
Digit 2,066 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2066, here are decompositions:

  • 3 + 2063 = 2066
  • 13 + 2053 = 2066
  • 37 + 2029 = 2066
  • 67 + 1999 = 2066
  • 73 + 1993 = 2066
  • 79 + 1987 = 2066
  • 193 + 1873 = 2066
  • 199 + 1867 = 2066

Showing the first eight; more decompositions exist.

Unicode codepoint
Samaritan Letter Quf
U+0812
Other letter (Lo)

UTF-8 encoding: E0 A0 92 (3 bytes).

Hex color
#000812
RGB(0, 8, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.18.

Address
0.0.8.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.18

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000002066
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 2066 first appears in π at position 7,842 of the decimal expansion (the 7,842ordinal-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.