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Number

18,443

18,443 is a prime, odd.

18,443 (eighteen thousand four hundred forty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x480B.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Left-Truncatable Prime Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
384
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
34,481
Recamán's sequence
a(8,946) = 18,443
Square (n²)
340,144,249
Cube (n³)
6,273,280,384,307
Divisor count
2
σ(n) — sum of divisors
18,444
φ(n) — Euler's totient
18,442

Primality

18,443 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18443
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,443)
1 × 18443
First multiples
18,443 · 36,886 (double) · 55,329 · 73,772 · 92,215 · 110,658 · 129,101 · 147,544 · 165,987 · 184,430

Sums & aliquot sequence

As consecutive integers: 9,221 + 9,222

Continued fraction of √n

√18,443 = [135; (1, 4, 7, 1, 3, 1, 2, 1, 1, 1, 4, 20, 1, 2, 10, 9, 3, 1, 2, 1, 1, 15, 2, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
eighteen thousand four hundred forty-three
Ordinal
18443rd
Binary
100100000001011
Octal
44013
Hexadecimal
0x480B
Base64
SAs=
One's complement
47,092 (16-bit)
Scientific notation
1.8443 × 10⁴
As a duration
18,443 s = 5 hours, 7 minutes, 23 seconds
In other bases
ternary (3) 221022002
quaternary (4) 10200023
quinary (5) 1042233
senary (6) 221215
septenary (7) 104525
nonary (9) 27262
undecimal (11) 12947
duodecimal (12) a80b
tridecimal (13) 8519
tetradecimal (14) 6a15
pentadecimal (15) 56e8

As an angle

18,443° = 51 × 360° + 83°
83° ≈ 1.449 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιηυμγʹ
Mayan (base 20)
𝋢·𝋦·𝋢·𝋣
Chinese
一萬八千四百四十三
Chinese (financial)
壹萬捌仟肆佰肆拾參
In other modern scripts
Eastern Arabic ١٨٤٤٣ Devanagari १८४४३ Bengali ১৮৪৪৩ Tamil ௧௮௪௪௩ Thai ๑๘๔๔๓ Tibetan ༡༨༤༤༣ Khmer ១៨៤៤៣ Lao ໑໘໔໔໓ Burmese ၁၈၄၄၃

Digit at this position in famous constants

π — Pi (π)
Digit 18,443 = 4
e — Euler's number (e)
Digit 18,443 = 0
φ — Golden ratio (φ)
Digit 18,443 = 4
√2 — Pythagoras's (√2)
Digit 18,443 = 6
ln 2 — Natural log of 2
Digit 18,443 = 6
γ — Euler-Mascheroni (γ)
Digit 18,443 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,439 (gap of 4)
  • Next prime: 18,451 (gap of 8)

Pair status: cousin with 18439.

Unicode codepoint
CJK Unified Ideograph-480B
U+480B
Other letter (Lo)

UTF-8 encoding: E4 A0 8B (3 bytes).

Hex color
#00480B
RGB(0, 72, 11)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.72.11.

Address
0.0.72.11
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.72.11

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

Musical pitch

Heard as a frequency, 18,443 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, -33¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, +5¢)
  • Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, -31¢)
Position in π

The digit sequence 18443 first appears in π at position 9,081 of the decimal expansion (the 9,081ordinal-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.

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.