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18,116

18,116 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.).

18,116 (eighteen thousand one hundred sixteen) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 647. Its proper divisors sum to 18,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x46C4.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Happy Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
48
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
61,181
Flips to (rotate 180°)
91,181
Recamán's sequence
a(15,672) = 18,116
Square (n²)
328,189,456
Cube (n³)
5,945,480,184,896
Divisor count
12
σ(n) — sum of divisors
36,288
φ(n) — Euler's totient
7,752
Sum of prime factors
658

Primality

Prime factorization: 2 2 × 7 × 647

Nearest primes: 18,097 (−19) · 18,119 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 647 · 1294 · 2588 · 4529 · 9058 (half) · 18116
Aliquot sum (sum of proper divisors): 18,172
Factor pairs (a × b = 18,116)
1 × 18116
2 × 9058
4 × 4529
7 × 2588
14 × 1294
28 × 647
First multiples
18,116 · 36,232 (double) · 54,348 · 72,464 · 90,580 · 108,696 · 126,812 · 144,928 · 163,044 · 181,160

Sums & aliquot sequence

As consecutive integers: 2,585 + 2,586 + … + 2,591 2,261 + 2,262 + … + 2,268 296 + 297 + … + 351
Aliquot sequence: 18,116 18,172 22,148 23,338 16,694 9,874 4,940 6,820 9,308 8,332 6,256 7,136 6,976 6,994 4,346 2,458 1,232 — unresolved within range

Continued fraction of √n

√18,116 = [134; (1, 1, 2, 8, 1, 7, 1, 1, 12, 1, 13, 4, 7, 2, 4, 10, 1, 1, 5, 4, 1, 8, 1, 4, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
eighteen thousand one hundred sixteen
Ordinal
18116th
Binary
100011011000100
Octal
43304
Hexadecimal
0x46C4
Base64
RsQ=
One's complement
47,419 (16-bit)
Scientific notation
1.8116 × 10⁴
As a duration
18,116 s = 5 hours, 1 minute, 56 seconds
In other bases
ternary (3) 220211222
quaternary (4) 10123010
quinary (5) 1034431
senary (6) 215512
septenary (7) 103550
nonary (9) 26758
undecimal (11) 1267a
duodecimal (12) a598
tridecimal (13) 8327
tetradecimal (14) 6860
pentadecimal (15) 557b
Palindromic in base 6

As an angle

18,116° = 50 × 360° + 116°
116° ≈ 2.025 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιηριϛʹ
Mayan (base 20)
𝋢·𝋥·𝋥·𝋰
Chinese
一萬八千一百一十六
Chinese (financial)
壹萬捌仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٨١١٦ Devanagari १८११६ Bengali ১৮১১৬ Tamil ௧௮௧௧௬ Thai ๑๘๑๑๖ Tibetan ༡༨༡༡༦ Khmer ១៨១១៦ Lao ໑໘໑໑໖ Burmese ၁၈၁၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 18,116 = 1
e — Euler's number (e)
Digit 18,116 = 5
φ — Golden ratio (φ)
Digit 18,116 = 1
√2 — Pythagoras's (√2)
Digit 18,116 = 2
ln 2 — Natural log of 2
Digit 18,116 = 4
γ — Euler-Mascheroni (γ)
Digit 18,116 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 18116, here are decompositions:

  • 19 + 18097 = 18116
  • 67 + 18049 = 18116
  • 73 + 18043 = 18116
  • 103 + 18013 = 18116
  • 127 + 17989 = 18116
  • 139 + 17977 = 18116
  • 157 + 17959 = 18116
  • 193 + 17923 = 18116

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-46C4
U+46C4
Other letter (Lo)

UTF-8 encoding: E4 9B 84 (3 bytes).

Hex color
#0046C4
RGB(0, 70, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.196.

Address
0.0.70.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.70.196

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

Musical pitch

Heard as a frequency, 18,116 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +36¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -26¢)
  • Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +38¢)
Position in π

The digit sequence 18116 first appears in π at position 155,416 of the decimal expansion (the 155,416ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.