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13,188

13,188 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.).
Abundant Number Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
192
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
88,131
Recamán's sequence
a(47,899) = 13,188
Square (n²)
173,923,344
Cube (n³)
2,293,701,060,672
Divisor count
24
σ(n) — sum of divisors
35,392
φ(n) — Euler's totient
3,744
Sum of prime factors
171

Primality

Prime factorization: 2 2 × 3 × 7 × 157

Nearest primes: 13,187 (−1) · 13,217 (+29)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 157 · 314 · 471 · 628 · 942 · 1099 · 1884 · 2198 · 3297 · 4396 · 6594 (half) · 13188
Aliquot sum (sum of proper divisors): 22,204
Factor pairs (a × b = 13,188)
1 × 13188
2 × 6594
3 × 4396
4 × 3297
6 × 2198
7 × 1884
12 × 1099
14 × 942
21 × 628
28 × 471
42 × 314
84 × 157
First multiples
13,188 · 26,376 (double) · 39,564 · 52,752 · 65,940 · 79,128 · 92,316 · 105,504 · 118,692 · 131,880

Sums & aliquot sequence

As consecutive integers: 4,395 + 4,396 + 4,397 1,881 + 1,882 + … + 1,887 1,645 + 1,646 + … + 1,652 618 + 619 + … + 638
Aliquot sequence: 13,188 22,204 26,404 30,044 33,796 38,780 54,628 54,684 111,300 263,676 465,668 465,724 465,780 1,026,060 2,325,540 5,335,260 11,738,916 — unresolved within range

Representations

In words
thirteen thousand one hundred eighty-eight
Ordinal
13188th
Binary
11001110000100
Octal
31604
Hexadecimal
0x3384
Base64
M4Q=
One's complement
52,347 (16-bit)
In other bases
ternary (3) 200002110
quaternary (4) 3032010
quinary (5) 410223
senary (6) 141020
septenary (7) 53310
nonary (9) 20073
undecimal (11) 99aa
duodecimal (12) 7770
tridecimal (13) 6006
tetradecimal (14) 4b40
pentadecimal (15) 3d93

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρπηʹ
Mayan (base 20)
𝋡·𝋬·𝋳·𝋨
Chinese
一萬三千一百八十八
Chinese (financial)
壹萬參仟壹佰捌拾捌
In other modern scripts
Eastern Arabic ١٣١٨٨ Devanagari १३१८८ Bengali ১৩১৮৮ Tamil ௧௩௧௮௮ Thai ๑๓๑๘๘ Tibetan ༡༣༡༨༨ Khmer ១៣១៨៨ Lao ໑໓໑໘໘ Burmese ၁၃၁၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,188 = 4
e — Euler's number (e)
Digit 13,188 = 7
φ — Golden ratio (φ)
Digit 13,188 = 0
√2 — Pythagoras's (√2)
Digit 13,188 = 0
ln 2 — Natural log of 2
Digit 13,188 = 2
γ — Euler-Mascheroni (γ)
Digit 13,188 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13188, here are decompositions:

  • 5 + 13183 = 13188
  • 11 + 13177 = 13188
  • 17 + 13171 = 13188
  • 29 + 13159 = 13188
  • 37 + 13151 = 13188
  • 41 + 13147 = 13188
  • 61 + 13127 = 13188
  • 67 + 13121 = 13188

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Ka
U+3384
Other symbol (So)

UTF-8 encoding: E3 8E 84 (3 bytes).

Hex color
#003384
RGB(0, 51, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.132.

Address
0.0.51.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.132

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

Position in π

The digit sequence 13188 first appears in π at position 24,847 of the decimal expansion (the 24,847ordinal-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.