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18,380

18,380 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

18,380 (eighteen thousand three hundred eighty) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 919. Its proper divisors sum to 20,260, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x47CC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Moran Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
8,381
Recamán's sequence
a(8,772) = 18,380
Square (n²)
337,824,400
Cube (n³)
6,209,212,472,000
Divisor count
12
σ(n) — sum of divisors
38,640
φ(n) — Euler's totient
7,344
Sum of prime factors
928

Primality

Prime factorization: 2 2 × 5 × 919

Nearest primes: 18,379 (−1) · 18,397 (+17)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 919 · 1838 · 3676 · 4595 · 9190 (half) · 18380
Aliquot sum (sum of proper divisors): 20,260
Factor pairs (a × b = 18,380)
1 × 18380
2 × 9190
4 × 4595
5 × 3676
10 × 1838
20 × 919
First multiples
18,380 · 36,760 (double) · 55,140 · 73,520 · 91,900 · 110,280 · 128,660 · 147,040 · 165,420 · 183,800

Sums & aliquot sequence

As consecutive integers: 3,674 + 3,675 + 3,676 + 3,677 + 3,678 2,294 + 2,295 + … + 2,301 440 + 441 + … + 479
Aliquot sequence: 18,380 20,260 22,328 19,552 22,784 23,206 12,578 7,342 3,674 2,374 1,190 1,402 704 820 944 916 694 — unresolved within range

Continued fraction of √n

√18,380 = [135; (1, 1, 2, 1, 13, 1, 1, 3, 1, 12, 1, 3, 1, 1, 13, 1, 2, 1, 1, 270)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
eighteen thousand three hundred eighty
Ordinal
18380th
Binary
100011111001100
Octal
43714
Hexadecimal
0x47CC
Base64
R8w=
One's complement
47,155 (16-bit)
Scientific notation
1.838 × 10⁴
As a duration
18,380 s = 5 hours, 6 minutes, 20 seconds
In other bases
ternary (3) 221012202
quaternary (4) 10133030
quinary (5) 1042010
senary (6) 221032
septenary (7) 104405
nonary (9) 27182
undecimal (11) 1289a
duodecimal (12) a778
tridecimal (13) 849b
tetradecimal (14) 69ac
pentadecimal (15) 56a5

As an angle

18,380° = 51 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιητπʹ
Mayan (base 20)
𝋢·𝋥·𝋳·𝋠
Chinese
一萬八千三百八十
Chinese (financial)
壹萬捌仟參佰捌拾
In other modern scripts
Eastern Arabic ١٨٣٨٠ Devanagari १८३८० Bengali ১৮৩৮০ Tamil ௧௮௩௮௦ Thai ๑๘๓๘๐ Tibetan ༡༨༣༨༠ Khmer ១៨៣៨០ Lao ໑໘໓໘໐ Burmese ၁၈၃၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 18,380 = 8
e — Euler's number (e)
Digit 18,380 = 2
φ — Golden ratio (φ)
Digit 18,380 = 2
√2 — Pythagoras's (√2)
Digit 18,380 = 2
ln 2 — Natural log of 2
Digit 18,380 = 9
γ — Euler-Mascheroni (γ)
Digit 18,380 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 18380, here are decompositions:

  • 13 + 18367 = 18380
  • 67 + 18313 = 18380
  • 73 + 18307 = 18380
  • 79 + 18301 = 18380
  • 127 + 18253 = 18380
  • 151 + 18229 = 18380
  • 157 + 18223 = 18380
  • 163 + 18217 = 18380

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-47Cc
U+47CC
Other letter (Lo)

UTF-8 encoding: E4 9F 8C (3 bytes).

Hex color
#0047CC
RGB(0, 71, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.71.204.

Address
0.0.71.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.71.204

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

Musical pitch

Heard as a frequency, 18,380 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, -39¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -1¢)
  • Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, -37¢)
Position in π

The digit sequence 18380 first appears in π at position 47,686 of the decimal expansion (the 47,686ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.