Live analysis

18,084

18,084 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.).

18,084 (eighteen thousand eighty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 137. Its proper divisors sum to 28,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x46A4.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

18,072 18,073 18,074 18,075 18,076 18,077 18,078 18,079 18,080 18,081 18,082 18,083 18,084 18,085 18,086 18,087 18,088 18,089 18,090 18,091 18,092 18,093 18,094 18,095 18,096

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 15 bits
Reversed: 48,081
Recamán's sequence: a(15,888) = 18,084
Square (n²): 327,031,056
Cube (n³): 5,914,029,616,704
Divisor count: 24
σ(n) — sum of divisors: 46,368
φ(n) — Euler's totient: 5,440
Sum of prime factors: 155

Primality

Prime factorization: 2 ² × 3 × 11 × 137

Nearest primes: 18,077 (−7) · 18,089 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 137 · 274 · 411 · 548 · 822 · 1507 · 1644 · 3014 · 4521 · 6028 · 9042 (half) · 18084

Aliquot sum (sum of proper divisors): 28,284

Factor pairs (a × b = 18,084)

1 × 18084

2 × 9042

3 × 6028

4 × 4521

6 × 3014

11 × 1644

12 × 1507

22 × 822

33 × 548

44 × 411

66 × 274

132 × 137

First multiples

18,084 · 36,168 (double) · 54,252 · 72,336 · 90,420 · 108,504 · 126,588 · 144,672 · 162,756 · 180,840

Sums & aliquot sequence

As consecutive integers: 6,027 + 6,028 + 6,029 2,257 + 2,258 + … + 2,264 1,639 + 1,640 + … + 1,649 742 + 743 + … + 765

Aliquot sequence: 18,084 → 28,284 → 37,740 → 77,172 → 107,628 → 143,532 → 232,536 → 348,864 → 626,496 → 1,165,728 → 1,894,560 → 4,074,816 → 7,284,064 → 7,056,500 → 9,769,036 → 7,946,564 → 6,336,040 — unresolved within range

Continued fraction of √n

√18,084 = [134; (2, 10, 3, 1, 6, 7, 8, 3, 1, 3, 2, 4, 24, 4, 2, 3, 1, 3, 8, 7, 6, 1, 3, 10, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: eighteen thousand eighty-four
Ordinal: 18084th
Binary: 100011010100100
Octal: 43244
Hexadecimal: 0x46A4
Base64: RqQ=
One's complement: 47,451 (16-bit)
Scientific notation: 1.8084 × 10⁴
As a duration: 18,084 s = 5 hours, 1 minute, 24 seconds

In other bases

ternary (3) 220210210

quaternary (4) 10122210

quinary (5) 1034314

senary (6) 215420

septenary (7) 103503

nonary (9) 26723

undecimal (11) 12650

duodecimal (12) a570

tridecimal (13) 8301

tetradecimal (14) 683a

pentadecimal (15) 5559

As an angle

18,084° = 50 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιηπδʹ
Mayan (base 20): 𝋢·𝋥·𝋤·𝋤
Chinese: 一萬八千零八十四
Chinese (financial): 壹萬捌仟零捌拾肆

In other modern scripts

Eastern Arabic ١٨٠٨٤ Devanagari १८०८४ Bengali ১৮০৮৪ Tamil ௧௮௦௮௪ Thai ๑๘๐๘๔ Tibetan ༡༨༠༨༤ Khmer ១៨០៨៤ Lao ໑໘໐໘໔ Burmese ၁၈၀၈၄

Digit at this position in famous constants

π — Pi (π): Digit 18,084 = 1
e — Euler's number (e): Digit 18,084 = 3
φ — Golden ratio (φ): Digit 18,084 = 5
√2 — Pythagoras's (√2): Digit 18,084 = 0
ln 2 — Natural log of 2: Digit 18,084 = 3
γ — Euler-Mascheroni (γ): Digit 18,084 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 18084, here are decompositions:

7 + 18077 = 18084
23 + 18061 = 18084
37 + 18047 = 18084
41 + 18043 = 18084
43 + 18041 = 18084
71 + 18013 = 18084
97 + 17987 = 18084
103 + 17981 = 18084

Showing the first eight; more decompositions exist.

Unicode codepoint

䚤

CJK Unified Ideograph-46A4

U+46A4

Other letter (Lo)

UTF-8 encoding: E4 9A A4 (3 bytes).

Lookup U+46A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0046A4

RGB(0, 70, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.164.

Address: 0.0.70.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.70.164

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

Musical pitch

Heard as a frequency, 18,084 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +33¢)
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 18084 first appears in π at position 84,338 of the decimal expansion (the 84,338ordinal-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.

Look up 18084 on Pi Search ↗