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Number

83

83 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Prime Recamán's Sequence Safe Prime Sexy Prime Sophie Germain Prime Squarefree Year

Historical context — 83 AD

Calendar year

AD 83 (LXXXIII) was a common year starting on Wednesday of the Julian calendar.

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

Historical context — 83 BC

Calendar year

Year 83 BC was a year of the pre-Julian Roman calendar.

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: Friday
January 1, 83
Ended on: Friday
December 31, 83
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 80s
80–89
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,943
1943 years before 2026.

In other calendars

Hebrew: 3843 / 3844 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Goat
Sexagenary cycle position 20 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 626 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 75 / 76 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 5 / 4 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 2
Digit sum: 11
Digit product: 24
Digital root: 2
Palindrome: No
Bit width: 7 bits
Reversed: 38
Recamán's sequence: a(49) = 83
Square (n²): 6,889
Cube (n³): 571,787
Divisor count: 2
σ(n) — sum of divisors: 84
φ(n) — Euler's totient: 82

Primality

83 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 83

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 83)

1 × 83

First multiples

83 · 166 (double) · 249 · 332 · 415 · 498 · 581 · 664 · 747 · 830

Sums & aliquot sequence

As consecutive integers: 41 + 42

Representations

In words: eighty-three
Ordinal: 83rd
Roman numeral: LXXXIII
Binary: 1010011
Octal: 123
Hexadecimal: 0x53
Base64: Uw==
One's complement: 172 (8-bit)

In other bases

ternary (3) 10002

quaternary (4) 1103

quinary (5) 313

senary (6) 215

septenary (7) 146

nonary (9) 102

undecimal (11) 76

duodecimal (12) 6b

tridecimal (13) 65

tetradecimal (14) 5d

pentadecimal (15) 58

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): πγʹ
Mayan (base 20): 𝋤·𝋣
Chinese: 八十三
Chinese (financial): 捌拾參

In other modern scripts

Eastern Arabic ٨٣ Devanagari ८३ Bengali ৮৩ Tamil ௮௩ Thai ๘๓ Tibetan ༨༣ Khmer ៨៣ Lao ໘໓ Burmese ၈၃

Digit at this position in famous constants

π — Pi (π): Digit 83 = 6
e — Euler's number (e): Digit 83 = 5
φ — Golden ratio (φ): Digit 83 = 7
√2 — Pythagoras's (√2): Digit 83 = 8
ln 2 — Natural log of 2: Digit 83 = 6
γ — Euler-Mascheroni (γ): Digit 83 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 79 (gap of 4)
Next prime: 89 (gap of 6)

Pair status: cousin with 79, sexy with 89.

ASCII character

As an ASCII codepoint, 83 is S. Printable ASCII character S.

Hex color

#000053

RGB(0, 0, 83)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.83.

Address: 0.0.0.83
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.83

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

US numbered highway

Matches numbered highway designation:

I-83 — Baltimore, MD to Harrisburg, PA.

Interstate 83 on Wikipedia ↗