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Number

82

82 is a composite number, even, a calendar year.

82 (eighty-two) is an even 2-digit number. It is a composite number with 4 divisors, and factors as 2 × 41. Written other ways, in Roman numerals it is LXXXII and in binary, 1010010.

Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Preferred Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

6 notable facts · grade B
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Historical context — 82 AD

Calendar year

AD 82 (LXXXII) was a common year starting on Tuesday of the Julian calendar.

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

Historical context — 82 BC

Calendar year

Year 82 BC was a year of the pre-Julian Roman calendar.

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, 82
Ended on
Thursday
December 31, 82
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
80s
80–89
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,944
1944 years before 2026.

In other calendars

Hebrew
3842 / 3843 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Horse
Sexagenary cycle position 19 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
625 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
74 / 75 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
4 / 3 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
10
Digit product
16
Digital root
1
Palindrome
No
Bit width
7 bits
Reversed
28
Recamán's sequence
a(47) = 82
Square (n²)
6,724
Cube (n³)
551,368
Divisor count
4
σ(n) — sum of divisors
126
φ(n) — Euler's totient
40
Sum of prime factors
43

Primality

Prime factorization: 2 × 41

Nearest primes: 79 (−3) · 83 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 41 (half) · 82
Aliquot sum (sum of proper divisors): 44
Factor pairs (a × b = 82)
1 × 82
2 × 41
First multiples
82 · 164 (double) · 246 · 328 · 410 · 492 · 574 · 656 · 738 · 820

Sums & aliquot sequence

As a sum of two squares: 1² + 9²
As consecutive integers: 19 + 20 + 21 + 22
Aliquot sequence: 82 44 40 50 43 1 0 — terminates at zero

Continued fraction of √n

√82 = [9; (18)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
eighty-two
Ordinal
82nd
Roman numeral
LXXXII
Binary
1010010
Octal
122
Hexadecimal
0x52
Base64
Ug==
One's complement
173 (8-bit)
Scientific notation
8.2 × 10¹
As a duration
82 s = 1 minute, 22 seconds
In other bases
ternary (3) 10001
quaternary (4) 1102
quinary (5) 312
senary (6) 214
septenary (7) 145
nonary (9) 101
undecimal (11) 75
duodecimal (12) 6a
tridecimal (13) 64
tetradecimal (14) 5c
pentadecimal (15) 57
Palindromic in base 3, base 9

As an angle

82°
82° ≈ 1.431 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
πβʹ
Mayan (base 20)
𝋤·𝋢
Chinese
八十二
Chinese (financial)
捌拾貳
In other modern scripts
Eastern Arabic ٨٢ Devanagari ८२ Bengali ৮২ Tamil ௮௨ Thai ๘๒ Tibetan ༨༢ Khmer ៨២ Lao ໘໒ Burmese ၈၂

Digit at this position in famous constants

π — Pi (π)
Digit 82 = 8
e — Euler's number (e)
Digit 82 = 4
φ — Golden ratio (φ)
Digit 82 = 9
√2 — Pythagoras's (√2)
Digit 82 = 8
ln 2 — Natural log of 2
Digit 82 = 5
γ — Euler-Mascheroni (γ)
Digit 82 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 82, here are decompositions:

  • 3 + 79 = 82
  • 11 + 71 = 82
  • 23 + 59 = 82
  • 29 + 53 = 82
  • 41 + 41 = 82
ASCII character

As an ASCII codepoint, 82 is R. Printable ASCII character R.

Hex color
#000052
RGB(0, 0, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.82.

Address
0.0.0.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.82

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

US numbered highway

Matches numbered highway designation:

  • I-82 — Ellensburg, WA to Hermiston, OR.
Musical pitch

Heard as a frequency, 82 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E2 (82.4 Hz, -9¢)
  • Scientific pitch (C4 = 256 Hz): E2 (80.6 Hz, +29¢)
  • Baroque pitch (A4 = 415 Hz): F2 (82.3 Hz, -7¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 82 is A♯5 (932.3 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 82 is Lead (Pb) — period 6.

Related reading