Live analysis

18,000

18,000 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.).

18,000 (eighteen thousand) is an even 5-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5³. Its proper divisors sum to 44,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4650.

Abundant Number Achilles Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Preferred Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

17,988 17,989 17,990 17,991 17,992 17,993 17,994 17,995 17,996 17,997 17,998 17,999 18,000 18,001 18,002 18,003 18,004 18,005 18,006 18,007 18,008 18,009 18,010 18,011 18,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 15 bits
Reversed: 81
Flips to (rotate 180°): 81
Recamán's sequence: a(8,160) = 18,000
Square (n²): 324,000,000
Cube (n³): 5,832,000,000,000
Divisor count: 60
σ(n) — sum of divisors: 62,868
φ(n) — Euler's totient: 4,800
Sum of prime factors: 29

Primality

Prime factorization: 2 ⁴ × 3 ² × 5 ³

Nearest primes: 17,989 (−11) · 18,013 (+13)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 36 · 40 · 45 · 48 · 50 · 60 · 72 · 75 · 80 · 90 · 100 · 120 · 125 · 144 · 150 · 180 · 200 · 225 · 240 · 250 · 300 · 360 · 375 · 400 · 450 · 500 · 600 · 720 · 750 · 900 · 1000 · 1125 · 1200 · 1500 · 1800 · 2000 · 2250 · 3000 · 3600 · 4500 · 6000 · 9000 (half) · 18000

Aliquot sum (sum of proper divisors): 44,868

Factor pairs (a × b = 18,000)

1 × 18000

2 × 9000

3 × 6000

4 × 4500

5 × 3600

6 × 3000

8 × 2250

9 × 2000

10 × 1800

12 × 1500

15 × 1200

16 × 1125

18 × 1000

20 × 900

24 × 750

25 × 720

30 × 600

36 × 500

40 × 450

45 × 400

48 × 375

50 × 360

60 × 300

72 × 250

75 × 240

80 × 225

90 × 200

100 × 180

120 × 150

125 × 144

First multiples

18,000 · 36,000 (double) · 54,000 · 72,000 · 90,000 · 108,000 · 126,000 · 144,000 · 162,000 · 180,000

Sums & aliquot sequence

As a sum of two squares: 24² + 132² = 60² + 120²

As consecutive integers: 5,999 + 6,000 + 6,001 3,598 + 3,599 + 3,600 + 3,601 + 3,602 1,996 + 1,997 + … + 2,004 1,193 + 1,194 + … + 1,207

Aliquot sequence: 18,000 → 44,868 → 59,852 → 53,044 → 41,456 → 38,896 → 54,848 → 54,118 → 27,062 → 19,354 → 9,680 → 15,058 → 7,532 → 7,588 → 7,644 → 14,700 → 34,776 — unresolved within range

Continued fraction of √n

√18,000 = [134; (6, 10, 1, 1, 3, 3, 1, 9, 1, 28, 1, 9, 1, 3, 3, 1, 1, 10, 6, 268)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: eighteen thousand
Ordinal: 18000th
Binary: 100011001010000
Octal: 43120
Hexadecimal: 0x4650
Base64: RlA=
One's complement: 47,535 (16-bit)
Scientific notation: 1.8 × 10⁴
As a duration: 18,000 s = 5 hours

In other bases

ternary (3) 220200200

quaternary (4) 10121100

quinary (5) 1034000

senary (6) 215200

septenary (7) 103323

nonary (9) 26620

undecimal (11) 12584

duodecimal (12) a500

tridecimal (13) 8268

tetradecimal (14) 67ba

pentadecimal (15) 5500

As an angle

18,000° = 50 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ιη
Mayan (base 20): 𝋢·𝋥·𝋠·𝋠
Chinese: 一萬八千
Chinese (financial): 壹萬捌仟

In other modern scripts

Eastern Arabic ١٨٠٠٠ Devanagari १८००० Bengali ১৮০০০ Tamil ௧௮௦௦௦ Thai ๑๘๐๐๐ Tibetan ༡༨༠༠༠ Khmer ១៨០០០ Lao ໑໘໐໐໐ Burmese ၁၈၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 18,000 = 6
e — Euler's number (e): Digit 18,000 = 0
φ — Golden ratio (φ): Digit 18,000 = 2
√2 — Pythagoras's (√2): Digit 18,000 = 2
ln 2 — Natural log of 2: Digit 18,000 = 0
γ — Euler-Mascheroni (γ): Digit 18,000 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 18000, here are decompositions:

11 + 17989 = 18000
13 + 17987 = 18000
19 + 17981 = 18000
23 + 17977 = 18000
29 + 17971 = 18000
41 + 17959 = 18000
43 + 17957 = 18000
61 + 17939 = 18000

Showing the first eight; more decompositions exist.

Unicode codepoint

䙐

CJK Unified Ideograph-4650

U+4650

Other letter (Lo)

UTF-8 encoding: E4 99 90 (3 bytes).

Lookup U+4650 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004650

RGB(0, 70, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.80.

Address: 0.0.70.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.70.80

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

Musical pitch

Heard as a frequency, 18,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +26¢)

Position in π

The digit sequence 18000 first appears in π at position 80,763 of the decimal expansion (the 80,763ordinal-suffix:rd 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 18000 on Pi Search ↗