number.wiki
Number

18,097

18,097 is a prime, odd.

18,097 (eighteen thousand ninety-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x46B1.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
79,081
Recamán's sequence
a(15,862) = 18,097
Square (n²)
327,501,409
Cube (n³)
5,926,792,998,673
Divisor count
2
σ(n) — sum of divisors
18,098
φ(n) — Euler's totient
18,096

Primality

18,097 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18097
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,097)
1 × 18097
First multiples
18,097 · 36,194 (double) · 54,291 · 72,388 · 90,485 · 108,582 · 126,679 · 144,776 · 162,873 · 180,970

Sums & aliquot sequence

As a sum of two squares: 76² + 111²
As consecutive integers: 9,048 + 9,049

Continued fraction of √n

√18,097 = [134; (1, 1, 9, 2, 6, 2, 2, 1, 3, 2, 33, 5, 4, 13, 1, 11, 1, 7, 2, 16, 2, 1, 8, 1, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
eighteen thousand ninety-seven
Ordinal
18097th
Binary
100011010110001
Octal
43261
Hexadecimal
0x46B1
Base64
RrE=
One's complement
47,438 (16-bit)
Scientific notation
1.8097 × 10⁴
As a duration
18,097 s = 5 hours, 1 minute, 37 seconds
In other bases
ternary (3) 220211021
quaternary (4) 10122301
quinary (5) 1034342
senary (6) 215441
septenary (7) 103522
nonary (9) 26737
undecimal (11) 12662
duodecimal (12) a581
tridecimal (13) 8311
tetradecimal (14) 6849
pentadecimal (15) 5567
Palindromic in base 2

As an angle

18,097° = 50 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιηϟζʹ
Mayan (base 20)
𝋢·𝋥·𝋤·𝋱
Chinese
一萬八千零九十七
Chinese (financial)
壹萬捌仟零玖拾柒
In other modern scripts
Eastern Arabic ١٨٠٩٧ Devanagari १८०९७ Bengali ১৮০৯৭ Tamil ௧௮௦௯௭ Thai ๑๘๐๙๗ Tibetan ༡༨༠༩༧ Khmer ១៨០៩៧ Lao ໑໘໐໙໗ Burmese ၁၈၀၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 18,097 = 1
e — Euler's number (e)
Digit 18,097 = 2
φ — Golden ratio (φ)
Digit 18,097 = 4
√2 — Pythagoras's (√2)
Digit 18,097 = 0
ln 2 — Natural log of 2
Digit 18,097 = 0
γ — Euler-Mascheroni (γ)
Digit 18,097 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,089 (gap of 8)
  • Next prime: 18,119 (gap of 22)
Unicode codepoint
CJK Unified Ideograph-46B1
U+46B1
Other letter (Lo)

UTF-8 encoding: E4 9A B1 (3 bytes).

Hex color
#0046B1
RGB(0, 70, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.177.

Address
0.0.70.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.70.177

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

Musical pitch

Heard as a frequency, 18,097 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +35¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -28¢)
  • Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +36¢)
Position in π

The digit sequence 18097 first appears in π at position 99,560 of the decimal expansion (the 99,560ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.