Live analysis

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.).

13,104 (thirteen thousand one hundred four) is an even 5-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 13. Its proper divisors sum to 32,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3330.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,092 13,093 13,094 13,095 13,096 13,097 13,098 13,099 13,100 13,101 13,102 13,103 13,104 13,105 13,106 13,107 13,108 13,109 13,110 13,111 13,112 13,113 13,114 13,115 13,116

less more

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

Continued fraction of √n

√13,104 = [114; (2, 8, 1, 1, 1, 13, 1, 1, 1, 8, 2, 228)]

Period length 12 — the block in parentheses repeats forever.

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)
Scientific notation: 1.3104 × 10⁴
As a duration: 13,104 s = 3 hours, 38 minutes, 24 seconds

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

Palindromic in base 5

As an angle

13,104° = 36 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

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

㌰

Square Piko

U+3330

Other symbol (So)

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

Lookup U+3330 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 13,104 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -24¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -23¢)

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.

Look up 13104 on Pi Search ↗