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13,164

13,164 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 Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
72
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
46,131
Recamán's sequence
a(47,947) = 13,164
Square (n²)
173,290,896
Cube (n³)
2,281,201,354,944
Divisor count
12
σ(n) — sum of divisors
30,744
φ(n) — Euler's totient
4,384
Sum of prime factors
1,104

Primality

Prime factorization: 2 2 × 3 × 1097

Nearest primes: 13,163 (−1) · 13,171 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 1097 · 2194 · 3291 · 4388 · 6582 (half) · 13164
Aliquot sum (sum of proper divisors): 17,580
Factor pairs (a × b = 13,164)
1 × 13164
2 × 6582
3 × 4388
4 × 3291
6 × 2194
12 × 1097
First multiples
13,164 · 26,328 (double) · 39,492 · 52,656 · 65,820 · 78,984 · 92,148 · 105,312 · 118,476 · 131,640

Sums & aliquot sequence

As consecutive integers: 4,387 + 4,388 + 4,389 1,642 + 1,643 + … + 1,649 537 + 538 + … + 560
Aliquot sequence: 13,164 17,580 31,812 49,500 120,852 195,926 100,258 50,132 39,244 29,440 44,144 45,136 65,968 92,752 121,520 217,744 218,736 — unresolved within range

Representations

In words
thirteen thousand one hundred sixty-four
Ordinal
13164th
Binary
11001101101100
Octal
31554
Hexadecimal
0x336C
Base64
M2w=
One's complement
52,371 (16-bit)
In other bases
ternary (3) 200001120
quaternary (4) 3031230
quinary (5) 410124
senary (6) 140540
septenary (7) 53244
nonary (9) 20046
undecimal (11) 9988
duodecimal (12) 7750
tridecimal (13) 5cb8
tetradecimal (14) 4b24
pentadecimal (15) 3d79

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρξδʹ
Mayan (base 20)
𝋡·𝋬·𝋲·𝋤
Chinese
一萬三千一百六十四
Chinese (financial)
壹萬參仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٣١٦٤ Devanagari १३१६४ Bengali ১৩১৬৪ Tamil ௧௩௧௬௪ Thai ๑๓๑๖๔ Tibetan ༡༣༡༦༤ Khmer ១៣១៦៤ Lao ໑໓໑໖໔ Burmese ၁၃၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,164 = 6
e — Euler's number (e)
Digit 13,164 = 1
φ — Golden ratio (φ)
Digit 13,164 = 1
√2 — Pythagoras's (√2)
Digit 13,164 = 5
ln 2 — Natural log of 2
Digit 13,164 = 3
γ — Euler-Mascheroni (γ)
Digit 13,164 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13164, here are decompositions:

  • 5 + 13159 = 13164
  • 13 + 13151 = 13164
  • 17 + 13147 = 13164
  • 37 + 13127 = 13164
  • 43 + 13121 = 13164
  • 61 + 13103 = 13164
  • 71 + 13093 = 13164
  • 101 + 13063 = 13164

Showing the first eight; more decompositions exist.

Unicode codepoint
Ideographic Telegraph Symbol For Hour Twenty
U+336C
Other symbol (So)

UTF-8 encoding: E3 8D AC (3 bytes).

Hex color
#00336C
RGB(0, 51, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.108.

Address
0.0.51.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.108

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

Position in π

The digit sequence 13164 first appears in π at position 347,173 of the decimal expansion (the 347,173ordinal-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.