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Number

18,049

18,049 is a prime, odd.

18,049 (eighteen thousand forty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4681.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
94,081
Recamán's sequence
a(15,958) = 18,049
Square (n²)
325,766,401
Cube (n³)
5,879,757,771,649
Divisor count
2
σ(n) — sum of divisors
18,050
φ(n) — Euler's totient
18,048

Primality

18,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18049
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,049)
1 × 18049
First multiples
18,049 · 36,098 (double) · 54,147 · 72,196 · 90,245 · 108,294 · 126,343 · 144,392 · 162,441 · 180,490

Sums & aliquot sequence

As a sum of two squares: 25² + 132²
As consecutive integers: 9,024 + 9,025

Continued fraction of √n

√18,049 = [134; (2, 1, 7, 1, 2, 1, 2, 3, 4, 1, 1, 2, 2, 1, 29, 6, 1, 2, 6, 4, 1, 10, 2, 1, …)]

Representations

In words
eighteen thousand forty-nine
Ordinal
18049th
Binary
100011010000001
Octal
43201
Hexadecimal
0x4681
Base64
RoE=
One's complement
47,486 (16-bit)
Scientific notation
1.8049 × 10⁴
As a duration
18,049 s = 5 hours, 49 seconds
In other bases
ternary (3) 220202111
quaternary (4) 10122001
quinary (5) 1034144
senary (6) 215321
septenary (7) 103423
nonary (9) 26674
undecimal (11) 12619
duodecimal (12) a541
tridecimal (13) 82a5
tetradecimal (14) 6813
pentadecimal (15) 5534

As an angle

18,049° = 50 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιημθʹ
Mayan (base 20)
𝋢·𝋥·𝋢·𝋩
Chinese
一萬八千零四十九
Chinese (financial)
壹萬捌仟零肆拾玖
In other modern scripts
Eastern Arabic ١٨٠٤٩ Devanagari १८०४९ Bengali ১৮০৪৯ Tamil ௧௮௦௪௯ Thai ๑๘๐๔๙ Tibetan ༡༨༠༤༩ Khmer ១៨០៤៩ Lao ໑໘໐໔໙ Burmese ၁၈၀၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 18,049 = 2
e — Euler's number (e)
Digit 18,049 = 3
φ — Golden ratio (φ)
Digit 18,049 = 9
√2 — Pythagoras's (√2)
Digit 18,049 = 8
ln 2 — Natural log of 2
Digit 18,049 = 9
γ — Euler-Mascheroni (γ)
Digit 18,049 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,047 (gap of 2)
  • Next prime: 18,059 (gap of 10)

Pair status: twin with 18047.

Unicode codepoint
CJK Unified Ideograph-4681
U+4681
Other letter (Lo)

UTF-8 encoding: E4 9A 81 (3 bytes).

Hex color
#004681
RGB(0, 70, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.129.

Address
0.0.70.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.70.129

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

Musical pitch

Heard as a frequency, 18,049 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +30¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -32¢)
  • Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +31¢)
Position in π

The digit sequence 18049 first appears in π at position 98,995 of the decimal expansion (the 98,995ordinal-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.