Number

2,082

2,082 is a composite number, even, a calendar year.

2,082 (two thousand eighty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 347. Its proper divisors sum to 2,094, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMLXXXII and in binary, 100000100010.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

2,070 2,071 2,072 2,073 2,074 2,075 2,076 2,077 2,078 2,079 2,080 2,081 2,082 2,083 2,084 2,085 2,086 2,087 2,088 2,089 2,090 2,091 2,092 2,093 2,094

less more

Historical context — 2082 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 2082
Ended on: Thursday
December 31, 2082
Friday the 13ths: 3
3 Friday the 13ths this year.
Easter Sunday: April 19
Sunday, April 19, 2082
Decade: 2080s
2080–2089
Century: 21st century
2001–2100
Millennium: 3rd millennium
2001–3000
Years until: 56
56 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: 5842 / 5843 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1505 / 1506 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2625 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1460 / 1461 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 2074 / 2075 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 2004 / 2003 Saka
Indian national calendar; year starts in March.
Japanese: Reiwa 64
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: 2,802
Recamán's sequence: a(3,587) = 2,082
Square (n²): 4,334,724
Cube (n³): 9,024,895,368
Divisor count: 8
σ(n) — sum of divisors: 4,176
φ(n) — Euler's totient: 692
Sum of prime factors: 352

Primality

Prime factorization: 2 × 3 × 347

Nearest primes: 2,081 (−1) · 2,083 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 347 · 694 · 1041 (half) · 2082

Aliquot sum (sum of proper divisors): 2,094

Factor pairs (a × b = 2,082)

1 × 2082

2 × 1041

3 × 694

6 × 347

First multiples

2,082 · 4,164 (double) · 6,246 · 8,328 · 10,410 · 12,492 · 14,574 · 16,656 · 18,738 · 20,820

Sums & aliquot sequence

As consecutive integers: 693 + 694 + 695 519 + 520 + 521 + 522 168 + 169 + … + 179

Aliquot sequence: 2,082 → 2,094 → 2,106 → 2,976 → 5,088 → 8,520 → 17,400 → 38,400 → 88,452 → 196,924 → 228,004 → 255,836 → 255,892 → 339,948 → 708,372 → 1,392,748 → 1,392,804 — unresolved within range

Continued fraction of √n

√2,082 = [45; (1, 1, 1, 2, 3, 1, 1, 2, 4, 1, 44, 1, 4, 2, 1, 1, 3, 2, 1, 1, 1, 90)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: two thousand eighty-two
Ordinal: 2082nd
Roman numeral: MMLXXXII
Binary: 100000100010
Octal: 4042
Hexadecimal: 0x822
Base64: CCI=
One's complement: 63,453 (16-bit)
Scientific notation: 2.082 × 10³
As a duration: 2,082 s = 34 minutes, 42 seconds

In other bases

ternary (3) 2212010

quaternary (4) 200202

quinary (5) 31312

senary (6) 13350

septenary (7) 6033

nonary (9) 2763

undecimal (11) 1623

duodecimal (12) 1256

tridecimal (13) c42

tetradecimal (14) a8a

pentadecimal (15) 93c

Palindromic in base 14

As an angle

2,082° = 5 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵βπβʹ
Mayan (base 20): 𝋥·𝋤·𝋢
Chinese: 二千零八十二
Chinese (financial): 貳仟零捌拾貳

In other modern scripts

Eastern Arabic ٢٠٨٢ Devanagari २०८२ Bengali ২০৮২ Tamil ௨௦௮௨ Thai ๒๐๘๒ Tibetan ༢༠༨༢ Khmer ២០៨២ Lao ໒໐໘໒ Burmese ၂၀၈၂

Digit at this position in famous constants

π — Pi (π): Digit 2,082 = 3
e — Euler's number (e): Digit 2,082 = 1
φ — Golden ratio (φ): Digit 2,082 = 8
√2 — Pythagoras's (√2): Digit 2,082 = 7
ln 2 — Natural log of 2: Digit 2,082 = 1
γ — Euler-Mascheroni (γ): Digit 2,082 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2082, here are decompositions:

13 + 2069 = 2082
19 + 2063 = 2082
29 + 2053 = 2082
43 + 2039 = 2082
53 + 2029 = 2082
71 + 2011 = 2082
79 + 2003 = 2082
83 + 1999 = 2082

Showing the first eight; more decompositions exist.

Unicode codepoint

ࠢ

Samaritan Vowel Sign Long A

U+0822

Non-spacing mark (Mn)

UTF-8 encoding: E0 A0 A2 (3 bytes).

Lookup U+0822 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000822

RGB(0, 8, 34)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.34.

Address: 0.0.8.34
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.34

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

Musical pitch

Heard as a frequency, 2,082 Hz is closest to:

Concert pitch (A4 = 440 Hz): C7 (2093 Hz, -9¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, +29¢)
Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, -8¢)

Position in π

The digit sequence 2082 first appears in π at position 6,141 of the decimal expansion (the 6,141ordinal-suffix:st 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.

Look up 2082 on Pi Search ↗