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Number

2,083

2,083 is a prime, odd, a calendar year.

2,083 (two thousand eighty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMLXXXIII and in binary, 100000100011.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Interestingness

Historical context — 2083 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 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, 2083
Ended on
Friday
December 31, 2083
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 4
Sunday, April 4, 2083
Decade
2080s
2080–2089
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
57
57 years after 2026.

In other calendars

Hebrew
5843 / 5844 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1506 / 1507 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rabbit
Sexagenary cycle position 40 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2626 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1461 / 1462 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2075 / 2076 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
2005 / 2004 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 65
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
3,802
Recamán's sequence
a(3,585) = 2,083
Square (n²)
4,338,889
Cube (n³)
9,037,905,787
Divisor count
2
σ(n) — sum of divisors
2,084
φ(n) — Euler's totient
2,082

Primality

2,083 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2083
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,083)
1 × 2083
First multiples
2,083 · 4,166 (double) · 6,249 · 8,332 · 10,415 · 12,498 · 14,581 · 16,664 · 18,747 · 20,830

Sums & aliquot sequence

As consecutive integers: 1,041 + 1,042

Continued fraction of √n

√2,083 = [45; (1, 1, 1, 3, 2, 14, 1, 3, 2, 2, 3, 9, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 3, 4, …)]

Representations

In words
two thousand eighty-three
Ordinal
2083rd
Roman numeral
MMLXXXIII
Binary
100000100011
Octal
4043
Hexadecimal
0x823
Base64
CCM=
One's complement
63,452 (16-bit)
Scientific notation
2.083 × 10³
As a duration
2,083 s = 34 minutes, 43 seconds
In other bases
ternary (3) 2212011
quaternary (4) 200203
quinary (5) 31313
senary (6) 13351
septenary (7) 6034
nonary (9) 2764
undecimal (11) 1624
duodecimal (12) 1257
tridecimal (13) c43
tetradecimal (14) a8b
pentadecimal (15) 93d
Palindromic in base 5

As an angle

2,083° = 5 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βπγʹ
Mayan (base 20)
𝋥·𝋤·𝋣
Chinese
二千零八十三
Chinese (financial)
貳仟零捌拾參
In other modern scripts
Eastern Arabic ٢٠٨٣ Devanagari २०८३ Bengali ২০৮৩ Tamil ௨௦௮௩ Thai ๒๐๘๓ Tibetan ༢༠༨༣ Khmer ២០៨៣ Lao ໒໐໘໓ Burmese ၂၀၈၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,083 = 6
e — Euler's number (e)
Digit 2,083 = 5
φ — Golden ratio (φ)
Digit 2,083 = 7
√2 — Pythagoras's (√2)
Digit 2,083 = 6
ln 2 — Natural log of 2
Digit 2,083 = 4
γ — Euler-Mascheroni (γ)
Digit 2,083 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,081 (gap of 2)
  • Next prime: 2,087 (gap of 4)

Pair status: twin with 2081, cousin with 2087.

Unicode codepoint
Samaritan Vowel Sign A
U+0823
Non-spacing mark (Mn)

UTF-8 encoding: E0 A0 A3 (3 bytes).

Hex color
#000823
RGB(0, 8, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.35.

Address
0.0.8.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.35

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

Musical pitch

Heard as a frequency, 2,083 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C7 (2093 Hz, -8¢)
  • Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, +29¢)
  • Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, -7¢)
Position in π

The digit sequence 2083 first appears in π at position 877 of the decimal expansion (the 877ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.