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Number

383

383 is a prime, odd, a calendar year.

383 (three hundred eighty-three) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is CCCLXXXIII and in binary, 101111111.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Left-Truncatable Prime Palindrome Palindromic Prime Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree Undulating Number Woodall Number Year

Interestingness

14 notable facts · grade A
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Historical context — 383 AD

Calendar year

Year 383 (CCCLXXXIII) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 383 BC

Calendar year

Year 383 BC was 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
52
Started on
Saturday
January 1, 383
Ended on
Saturday
December 31, 383
Friday the 13ths
1
One Friday the 13th this year.
Decade
380s
380–389
Century
4th century
301–400
Millennium
1st millennium
1–1000
Years ago
1,643
1643 years before 2026.

In other calendars

Hebrew
4143 / 4144 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
926 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
375 / 376 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
305 / 304 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
14
Digit product
72
Digital root
5
Palindrome
Yes
Bit width
9 bits
Recamán's sequence
a(2,486) = 383
Square (n²)
146,689
Cube (n³)
56,181,887
Divisor count
2
σ(n) — sum of divisors
384
φ(n) — Euler's totient
382

Primality

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

Divisors & multiples

All divisors (2)
1 · 383
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 383)
1 × 383
First multiples
383 · 766 (double) · 1,149 · 1,532 · 1,915 · 2,298 · 2,681 · 3,064 · 3,447 · 3,830

Sums & aliquot sequence

As consecutive integers: 191 + 192

Continued fraction of √n

√383 = [19; (1, 1, 3, 19, 3, 1, 1, 38)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
three hundred eighty-three
Ordinal
383rd
Roman numeral
CCCLXXXIII
Binary
101111111
Octal
577
Hexadecimal
0x17F
Base64
AX8=
One's complement
65,152 (16-bit)
Scientific notation
3.83 × 10²
As a duration
383 s = 6 minutes, 23 seconds
In other bases
ternary (3) 112012
quaternary (4) 11333
quinary (5) 3013
senary (6) 1435
septenary (7) 1055
nonary (9) 465
undecimal (11) 319
duodecimal (12) 27b
tridecimal (13) 236
tetradecimal (14) 1d5
pentadecimal (15) 1a8

As an angle

383° = 1 × 360° + 23°
23° ≈ 0.401 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
τπγʹ
Mayan (base 20)
𝋳·𝋣
Chinese
三百八十三
Chinese (financial)
參佰捌拾參
In other modern scripts
Eastern Arabic ٣٨٣ Devanagari ३८३ Bengali ৩৮৩ Tamil ௩௮௩ Thai ๓๘๓ Tibetan ༣༨༣ Khmer ៣៨៣ Lao ໓໘໓ Burmese ၃၈၃

Digit at this position in famous constants

π — Pi (π)
Digit 383 = 3
e — Euler's number (e)
Digit 383 = 2
φ — Golden ratio (φ)
Digit 383 = 4
√2 — Pythagoras's (√2)
Digit 383 = 3
ln 2 — Natural log of 2
Digit 383 = 6
γ — Euler-Mascheroni (γ)
Digit 383 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 379 (gap of 4)
  • Next prime: 389 (gap of 6)

Pair status: cousin with 379, sexy with 389.

Unicode codepoint
ſ
Latin Small Letter Long S
U+017F
Lowercase letter (Ll)

UTF-8 encoding: C5 BF (2 bytes).

Hex color
#00017F
RGB(0, 1, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.127.

Address
0.0.1.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.127

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

Musical pitch

Heard as a frequency, 383 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G4 (392 Hz, -40¢)
  • Scientific pitch (C4 = 256 Hz): G4 (383.6 Hz, -3¢)
  • Baroque pitch (A4 = 415 Hz): G♯4 (391.7 Hz, -39¢)

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.