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Number

2,089

2,089 is a prime, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 2089 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
Saturday
January 1, 2089
Ended on
Saturday
December 31, 2089
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 3
Sunday, April 3, 2089
Decade
2080s
2080–2089
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
63
63 years after 2026.

In other calendars

Hebrew
5849 / 5850 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1512 / 1513 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rooster
Sexagenary cycle position 46 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2632 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1467 / 1468 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2081 / 2082 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
2011 / 2010 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 71
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Odd
Digit count
4
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
9,802
Recamán's sequence
a(3,573) = 2,089
Square (n²)
4,363,921
Cube (n³)
9,116,230,969
Divisor count
2
σ(n) — sum of divisors
2,090
φ(n) — Euler's totient
2,088

Primality

2,089 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2089
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,089)
1 × 2089
First multiples
2,089 · 4,178 (double) · 6,267 · 8,356 · 10,445 · 12,534 · 14,623 · 16,712 · 18,801 · 20,890

Sums & aliquot sequence

As a sum of two squares: 8² + 45²
As consecutive integers: 1,044 + 1,045

Representations

In words
two thousand eighty-nine
Ordinal
2089th
Roman numeral
MMLXXXIX
Binary
100000101001
Octal
4051
Hexadecimal
0x829
Base64
CCk=
One's complement
63,446 (16-bit)
In other bases
ternary (3) 2212101
quaternary (4) 200221
quinary (5) 31324
senary (6) 13401
septenary (7) 6043
nonary (9) 2771
undecimal (11) 162a
duodecimal (12) 1261
tridecimal (13) c49
tetradecimal (14) a93
pentadecimal (15) 944

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βπθʹ
Mayan (base 20)
𝋥·𝋤·𝋩
Chinese
二千零八十九
Chinese (financial)
貳仟零捌拾玖
In other modern scripts
Eastern Arabic ٢٠٨٩ Devanagari २०८९ Bengali ২০৮৯ Tamil ௨௦௮௯ Thai ๒๐๘๙ Tibetan ༢༠༨༩ Khmer ២០៨៩ Lao ໒໐໘໙ Burmese ၂၀၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,089 = 7
e — Euler's number (e)
Digit 2,089 = 2
φ — Golden ratio (φ)
Digit 2,089 = 5
√2 — Pythagoras's (√2)
Digit 2,089 = 0
ln 2 — Natural log of 2
Digit 2,089 = 3
γ — Euler-Mascheroni (γ)
Digit 2,089 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,087 (gap of 2)
  • Next prime: 2,099 (gap of 10)

Pair status: twin with 2087.

Unicode codepoint
Samaritan Vowel Sign Long I
U+0829
Non-spacing mark (Mn)

UTF-8 encoding: E0 A0 A9 (3 bytes).

Hex color
#000829
RGB(0, 8, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.41.

Address
0.0.8.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.41

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

Position in π

The digit sequence 2089 first appears in π at position 76 of the decimal expansion (the 76ordinal-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.