Live analysis

18,018

18,018 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.).

18,018 (eighteen thousand eighteen) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 7 × 11 × 13. Its proper divisors sum to 34,398, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4662.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

18,006 18,007 18,008 18,009 18,010 18,011 18,012 18,013 18,014 18,015 18,016 18,017 18,018 18,019 18,020 18,021 18,022 18,023 18,024 18,025 18,026 18,027 18,028 18,029 18,030

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 15 bits
Reversed: 81,081
Flips to (rotate 180°): 81,081
Recamán's sequence: a(8,124) = 18,018
Square (n²): 324,648,324
Cube (n³): 5,849,513,501,832
Divisor count: 48
σ(n) — sum of divisors: 52,416
φ(n) — Euler's totient: 4,320
Sum of prime factors: 39

Primality

Prime factorization: 2 × 3 ² × 7 × 11 × 13

Nearest primes: 18,013 (−5) · 18,041 (+23)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 6 · 7 · 9 · 11 · 13 · 14 · 18 · 21 · 22 · 26 · 33 · 39 · 42 · 63 · 66 · 77 · 78 · 91 · 99 · 117 · 126 · 143 · 154 · 182 · 198 · 231 · 234 · 273 · 286 · 429 · 462 · 546 · 693 · 819 · 858 · 1001 · 1287 · 1386 · 1638 · 2002 · 2574 · 3003 · 6006 · 9009 (half) · 18018

Aliquot sum (sum of proper divisors): 34,398

Factor pairs (a × b = 18,018)

1 × 18018

2 × 9009

3 × 6006

6 × 3003

7 × 2574

9 × 2002

11 × 1638

13 × 1386

14 × 1287

18 × 1001

21 × 858

22 × 819

26 × 693

33 × 546

39 × 462

42 × 429

63 × 286

66 × 273

77 × 234

78 × 231

91 × 198

99 × 182

117 × 154

126 × 143

First multiples

18,018 · 36,036 (double) · 54,054 · 72,072 · 90,090 · 108,108 · 126,126 · 144,144 · 162,162 · 180,180

Sums & aliquot sequence

As consecutive integers: 6,005 + 6,006 + 6,007 4,503 + 4,504 + 4,505 + 4,506 2,571 + 2,572 + … + 2,577 1,998 + 1,999 + … + 2,006

Aliquot sequence: 18,018 → 34,398 → 61,362 → 90,894 → 90,906 → 93,894 → 93,906 → 124,974 → 153,018 → 178,560 → 457,920 → 1,188,000 → 3,529,440 → 9,776,160 → 26,028,000 → 69,107,040 → 187,267,680 — unresolved within range

Continued fraction of √n

√18,018 = [134; (4, 3, 15, 2, 15, 3, 4, 268)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: eighteen thousand eighteen
Ordinal: 18018th
Binary: 100011001100010
Octal: 43142
Hexadecimal: 0x4662
Base64: RmI=
One's complement: 47,517 (16-bit)
Scientific notation: 1.8018 × 10⁴
As a duration: 18,018 s = 5 hours, 18 seconds

In other bases

ternary (3) 220201100

quaternary (4) 10121202

quinary (5) 1034033

senary (6) 215230

septenary (7) 103350

nonary (9) 26640

undecimal (11) 125a0

duodecimal (12) a516

tridecimal (13) 8280

tetradecimal (14) 67d0

pentadecimal (15) 5513

As an angle

18,018° = 50 × 360° + 18°

18° ≈ 0.314 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιηιηʹ
Mayan (base 20): 𝋢·𝋥·𝋠·𝋲
Chinese: 一萬八千零一十八
Chinese (financial): 壹萬捌仟零壹拾捌

In other modern scripts

Eastern Arabic ١٨٠١٨ Devanagari १८०१८ Bengali ১৮০১৮ Tamil ௧௮௦௧௮ Thai ๑๘๐๑๘ Tibetan ༡༨༠༡༨ Khmer ១៨០១៨ Lao ໑໘໐໑໘ Burmese ၁၈၀၁၈

Digit at this position in famous constants

π — Pi (π): Digit 18,018 = 0
e — Euler's number (e): Digit 18,018 = 3
φ — Golden ratio (φ): Digit 18,018 = 7
√2 — Pythagoras's (√2): Digit 18,018 = 8
ln 2 — Natural log of 2: Digit 18,018 = 4
γ — Euler-Mascheroni (γ): Digit 18,018 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 18018, here are decompositions:

5 + 18013 = 18018
29 + 17989 = 18018
31 + 17987 = 18018
37 + 17981 = 18018
41 + 17977 = 18018
47 + 17971 = 18018
59 + 17959 = 18018
61 + 17957 = 18018

Showing the first eight; more decompositions exist.

Unicode codepoint

䙢

CJK Unified Ideograph-4662

U+4662

Other letter (Lo)

UTF-8 encoding: E4 99 A2 (3 bytes).

Lookup U+4662 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004662

RGB(0, 70, 98)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.98.

Address: 0.0.70.98
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.70.98

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

Musical pitch

Heard as a frequency, 18,018 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +27¢)
Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -35¢)
Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +28¢)

Position in π

The digit sequence 18018 first appears in π at position 59,823 of the decimal expansion (the 59,823ordinal-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 18018 on Pi Search ↗