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Number

2,064

2,064 is a composite number, even, a calendar year.

Abundant Number Evil Number Gapful Number Harshad / Niven Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 2064 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
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, 2064
Ended on
Wednesday
December 31, 2064
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 6
Sunday, April 6, 2064
Decade
2060s
2060–2069
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
38
38 years after 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes

In other calendars

Hebrew
5824 / 5825 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1486 / 1487 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2607 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1442 / 1443 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2056 / 2057 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1986 / 1985 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 46
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
12 bits
Reversed
4,602
Recamán's sequence
a(3,623) = 2,064
Square (n²)
4,260,096
Cube (n³)
8,792,838,144
Divisor count
20
σ(n) — sum of divisors
5,456
φ(n) — Euler's totient
672
Sum of prime factors
54

Primality

Prime factorization: 2 4 × 3 × 43

Nearest primes: 2,063 (−1) · 2,069 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 43 · 48 · 86 · 129 · 172 · 258 · 344 · 516 · 688 · 1032 (half) · 2064
Aliquot sum (sum of proper divisors): 3,392
Factor pairs (a × b = 2,064)
1 × 2064
2 × 1032
3 × 688
4 × 516
6 × 344
8 × 258
12 × 172
16 × 129
24 × 86
43 × 48
First multiples
2,064 · 4,128 (double) · 6,192 · 8,256 · 10,320 · 12,384 · 14,448 · 16,512 · 18,576 · 20,640

Sums & aliquot sequence

As consecutive integers: 687 + 688 + 689 49 + 50 + … + 80 27 + 28 + … + 69
Aliquot sequence: 2,064 3,392 3,466 1,736 2,104 1,856 1,954 980 1,414 1,034 694 350 394 200 265 59 1 — unresolved within range

Representations

In words
two thousand sixty-four
Ordinal
2064th
Roman numeral
MMLXIV
Binary
100000010000
Octal
4020
Hexadecimal
0x810
Base64
CBA=
One's complement
63,471 (16-bit)
In other bases
ternary (3) 2211110
quaternary (4) 200100
quinary (5) 31224
senary (6) 13320
septenary (7) 6006
nonary (9) 2743
undecimal (11) 1607
duodecimal (12) 1240
tridecimal (13) c2a
tetradecimal (14) a76
pentadecimal (15) 929

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βξδʹ
Mayan (base 20)
𝋥·𝋣·𝋤
Chinese
二千零六十四
Chinese (financial)
貳仟零陸拾肆
In other modern scripts
Eastern Arabic ٢٠٦٤ Devanagari २०६४ Bengali ২০৬৪ Tamil ௨௦௬௪ Thai ๒๐๖๔ Tibetan ༢༠༦༤ Khmer ២០៦៤ Lao ໒໐໖໔ Burmese ၂၀၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,064 = 8
e — Euler's number (e)
Digit 2,064 = 0
φ — Golden ratio (φ)
Digit 2,064 = 1
√2 — Pythagoras's (√2)
Digit 2,064 = 3
ln 2 — Natural log of 2
Digit 2,064 = 8
γ — Euler-Mascheroni (γ)
Digit 2,064 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2064, here are decompositions:

  • 11 + 2053 = 2064
  • 37 + 2027 = 2064
  • 47 + 2017 = 2064
  • 53 + 2011 = 2064
  • 61 + 2003 = 2064
  • 67 + 1997 = 2064
  • 71 + 1993 = 2064
  • 113 + 1951 = 2064

Showing the first eight; more decompositions exist.

Unicode codepoint
Samaritan Letter Fi
U+0810
Other letter (Lo)

UTF-8 encoding: E0 A0 90 (3 bytes).

Hex color
#000810
RGB(0, 8, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.16.

Address
0.0.8.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.16

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

Position in π

The digit sequence 2064 first appears in π at position 41,764 of the decimal expansion (the 41,764ordinal-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.