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13,104

13,104 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 Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
40,131
Recamán's sequence
a(48,067) = 13,104
Square (n²)
171,714,816
Cube (n³)
2,250,150,948,864
Divisor count
60
σ(n) — sum of divisors
45,136
φ(n) — Euler's totient
3,456
Sum of prime factors
34

Primality

Prime factorization: 2 4 × 3 2 × 7 × 13

Nearest primes: 13,103 (−1) · 13,109 (+5)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 16 · 18 · 21 · 24 · 26 · 28 · 36 · 39 · 42 · 48 · 52 · 56 · 63 · 72 · 78 · 84 · 91 · 104 · 112 · 117 · 126 · 144 · 156 · 168 · 182 · 208 · 234 · 252 · 273 · 312 · 336 · 364 · 468 · 504 · 546 · 624 · 728 · 819 · 936 · 1008 · 1092 · 1456 · 1638 · 1872 · 2184 · 3276 · 4368 · 6552 (half) · 13104
Aliquot sum (sum of proper divisors): 32,032
Factor pairs (a × b = 13,104)
1 × 13104
2 × 6552
3 × 4368
4 × 3276
6 × 2184
7 × 1872
8 × 1638
9 × 1456
12 × 1092
13 × 1008
14 × 936
16 × 819
18 × 728
21 × 624
24 × 546
26 × 504
28 × 468
36 × 364
39 × 336
42 × 312
48 × 273
52 × 252
56 × 234
63 × 208
72 × 182
78 × 168
84 × 156
91 × 144
104 × 126
112 × 117
First multiples
13,104 · 26,208 (double) · 39,312 · 52,416 · 65,520 · 78,624 · 91,728 · 104,832 · 117,936 · 131,040

Sums & aliquot sequence

As consecutive integers: 4,367 + 4,368 + 4,369 1,869 + 1,870 + … + 1,875 1,452 + 1,453 + … + 1,460 1,002 + 1,003 + … + 1,014
Aliquot sequence: 13,104 32,032 52,640 92,512 122,948 123,004 135,044 166,600 310,490 258,670 206,954 147,286 73,646 41,698 20,852 18,544 19,896 — unresolved within range

Representations

In words
thirteen thousand one hundred four
Ordinal
13104th
Binary
11001100110000
Octal
31460
Hexadecimal
0x3330
Base64
MzA=
One's complement
52,431 (16-bit)
In other bases
ternary (3) 122222100
quaternary (4) 3030300
quinary (5) 404404
senary (6) 140400
septenary (7) 53130
nonary (9) 18870
undecimal (11) 9933
duodecimal (12) 7700
tridecimal (13) 5c70
tetradecimal (14) 4ac0
pentadecimal (15) 3d39

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρδʹ
Mayan (base 20)
𝋡·𝋬·𝋯·𝋤
Chinese
一萬三千一百零四
Chinese (financial)
壹萬參仟壹佰零肆
In other modern scripts
Eastern Arabic ١٣١٠٤ Devanagari १३१०४ Bengali ১৩১০৪ Tamil ௧௩௧௦௪ Thai ๑๓๑๐๔ Tibetan ༡༣༡༠༤ Khmer ១៣១០៤ Lao ໑໓໑໐໔ Burmese ၁၃၁၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,104 = 8
e — Euler's number (e)
Digit 13,104 = 6
φ — Golden ratio (φ)
Digit 13,104 = 8
√2 — Pythagoras's (√2)
Digit 13,104 = 9
ln 2 — Natural log of 2
Digit 13,104 = 1
γ — Euler-Mascheroni (γ)
Digit 13,104 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13104, here are decompositions:

  • 5 + 13099 = 13104
  • 11 + 13093 = 13104
  • 41 + 13063 = 13104
  • 61 + 13043 = 13104
  • 67 + 13037 = 13104
  • 71 + 13033 = 13104
  • 97 + 13007 = 13104
  • 101 + 13003 = 13104

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Piko
U+3330
Other symbol (So)

UTF-8 encoding: E3 8C B0 (3 bytes).

Hex color
#003330
RGB(0, 51, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.48.

Address
0.0.51.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.48

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

Position in π

The digit sequence 13104 first appears in π at position 127,908 of the decimal expansion (the 127,908ordinal-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.