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Number

18,089

18,089 is a prime, odd.

18,089 (eighteen thousand eighty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x46A9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
98,081
Flips to (rotate 180°)
68,081
Recamán's sequence
a(15,878) = 18,089
Square (n²)
327,211,921
Cube (n³)
5,918,936,438,969
Divisor count
2
σ(n) — sum of divisors
18,090
φ(n) — Euler's totient
18,088

Primality

18,089 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18089
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,089)
1 × 18089
First multiples
18,089 · 36,178 (double) · 54,267 · 72,356 · 90,445 · 108,534 · 126,623 · 144,712 · 162,801 · 180,890

Sums & aliquot sequence

As a sum of two squares: 20² + 133²
As consecutive integers: 9,044 + 9,045

Continued fraction of √n

√18,089 = [134; (2, 53, 3, 2, 1, 10, 16, 1, 2, 1, 1, 4, 3, 6, 1, 23, 1, 1, 2, 3, 1, 4, 8, 2, …)]

Representations

In words
eighteen thousand eighty-nine
Ordinal
18089th
Binary
100011010101001
Octal
43251
Hexadecimal
0x46A9
Base64
Rqk=
One's complement
47,446 (16-bit)
Scientific notation
1.8089 × 10⁴
As a duration
18,089 s = 5 hours, 1 minute, 29 seconds
In other bases
ternary (3) 220210222
quaternary (4) 10122221
quinary (5) 1034324
senary (6) 215425
septenary (7) 103511
nonary (9) 26728
undecimal (11) 12655
duodecimal (12) a575
tridecimal (13) 8306
tetradecimal (14) 6841
pentadecimal (15) 555e

As an angle

18,089° = 50 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιηπθʹ
Mayan (base 20)
𝋢·𝋥·𝋤·𝋩
Chinese
一萬八千零八十九
Chinese (financial)
壹萬捌仟零捌拾玖
In other modern scripts
Eastern Arabic ١٨٠٨٩ Devanagari १८०८९ Bengali ১৮০৮৯ Tamil ௧௮௦௮௯ Thai ๑๘๐๘๙ Tibetan ༡༨༠༨༩ Khmer ១៨០៨៩ Lao ໑໘໐໘໙ Burmese ၁၈၀၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 18,089 = 5
e — Euler's number (e)
Digit 18,089 = 8
φ — Golden ratio (φ)
Digit 18,089 = 4
√2 — Pythagoras's (√2)
Digit 18,089 = 1
ln 2 — Natural log of 2
Digit 18,089 = 3
γ — Euler-Mascheroni (γ)
Digit 18,089 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,077 (gap of 12)
  • Next prime: 18,097 (gap of 8)
Unicode codepoint
CJK Unified Ideograph-46A9
U+46A9
Other letter (Lo)

UTF-8 encoding: E4 9A A9 (3 bytes).

Hex color
#0046A9
RGB(0, 70, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.169.

Address
0.0.70.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.70.169

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

Musical pitch

Heard as a frequency, 18,089 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +34¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -29¢)
  • Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +35¢)
Position in π

The digit sequence 18089 first appears in π at position 44,074 of the decimal expansion (the 44,074ordinal-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

  • 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.