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13,116

13,116 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.).
Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
18
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
61,131
Recamán's sequence
a(48,043) = 13,116
Square (n²)
172,029,456
Cube (n³)
2,256,338,344,896
Divisor count
12
σ(n) — sum of divisors
30,632
φ(n) — Euler's totient
4,368
Sum of prime factors
1,100

Primality

Prime factorization: 2 2 × 3 × 1093

Nearest primes: 13,109 (−7) · 13,121 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 1093 · 2186 · 3279 · 4372 · 6558 (half) · 13116
Aliquot sum (sum of proper divisors): 17,516
Factor pairs (a × b = 13,116)
1 × 13116
2 × 6558
3 × 4372
4 × 3279
6 × 2186
12 × 1093
First multiples
13,116 · 26,232 (double) · 39,348 · 52,464 · 65,580 · 78,696 · 91,812 · 104,928 · 118,044 · 131,160

Sums & aliquot sequence

As consecutive integers: 4,371 + 4,372 + 4,373 1,636 + 1,637 + … + 1,643 535 + 536 + … + 558
Aliquot sequence: 13,116 17,516 14,404 12,840 26,040 66,120 149,880 300,120 637,320 1,332,600 2,800,320 6,093,744 9,857,616 16,718,064 30,397,968 54,674,526 54,765,474 — unresolved within range

Representations

In words
thirteen thousand one hundred sixteen
Ordinal
13116th
Binary
11001100111100
Octal
31474
Hexadecimal
0x333C
Base64
Mzw=
One's complement
52,419 (16-bit)
In other bases
ternary (3) 122222210
quaternary (4) 3030330
quinary (5) 404431
senary (6) 140420
septenary (7) 53145
nonary (9) 18883
undecimal (11) 9944
duodecimal (12) 7710
tridecimal (13) 5c7c
tetradecimal (14) 4acc
pentadecimal (15) 3d46

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγριϛʹ
Mayan (base 20)
𝋡·𝋬·𝋯·𝋰
Chinese
一萬三千一百一十六
Chinese (financial)
壹萬參仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٣١١٦ Devanagari १३११६ Bengali ১৩১১৬ Tamil ௧௩௧௧௬ Thai ๑๓๑๑๖ Tibetan ༡༣༡༡༦ Khmer ១៣១១៦ Lao ໑໓໑໑໖ Burmese ၁၃၁၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,116 = 9
e — Euler's number (e)
Digit 13,116 = 8
φ — Golden ratio (φ)
Digit 13,116 = 9
√2 — Pythagoras's (√2)
Digit 13,116 = 2
ln 2 — Natural log of 2
Digit 13,116 = 6
γ — Euler-Mascheroni (γ)
Digit 13,116 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13116, here are decompositions:

  • 7 + 13109 = 13116
  • 13 + 13103 = 13116
  • 17 + 13099 = 13116
  • 23 + 13093 = 13116
  • 53 + 13063 = 13116
  • 67 + 13049 = 13116
  • 73 + 13043 = 13116
  • 79 + 13037 = 13116

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Beeta
U+333C
Other symbol (So)

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

Hex color
#00333C
RGB(0, 51, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.60.

Address
0.0.51.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.60

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

Position in π

The digit sequence 13116 first appears in π at position 53,101 of the decimal expansion (the 53,101ordinal-suffix:st 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.