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12,116

12,116 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.).

12,116 (twelve thousand one hundred sixteen) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 233. Written other ways, in hexadecimal, 0x2F54.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
12
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
61,121
Recamán's sequence
a(22,552) = 12,116
Square (n²)
146,797,456
Cube (n³)
1,778,597,976,896
Divisor count
12
σ(n) — sum of divisors
22,932
φ(n) — Euler's totient
5,568
Sum of prime factors
250

Primality

Prime factorization: 2 2 × 13 × 233

Nearest primes: 12,113 (−3) · 12,119 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 233 · 466 · 932 · 3029 · 6058 (half) · 12116
Aliquot sum (sum of proper divisors): 10,816
Factor pairs (a × b = 12,116)
1 × 12116
2 × 6058
4 × 3029
13 × 932
26 × 466
52 × 233
First multiples
12,116 · 24,232 (double) · 36,348 · 48,464 · 60,580 · 72,696 · 84,812 · 96,928 · 109,044 · 121,160

Sums & aliquot sequence

As a sum of two squares: 4² + 110² = 46² + 100²
As consecutive integers: 1,511 + 1,512 + … + 1,518 926 + 927 + … + 938 65 + 66 + … + 168
Aliquot sequence: 12,116 10,816 12,425 5,431 1 0 — terminates at zero

Continued fraction of √n

√12,116 = [110; (13, 1, 3, 13, 1, 1, 54, 1, 1, 13, 3, 1, 13, 220)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
twelve thousand one hundred sixteen
Ordinal
12116th
Binary
10111101010100
Octal
27524
Hexadecimal
0x2F54
Base64
L1Q=
One's complement
53,419 (16-bit)
Scientific notation
1.2116 × 10⁴
As a duration
12,116 s = 3 hours, 21 minutes, 56 seconds
In other bases
ternary (3) 121121202
quaternary (4) 2331110
quinary (5) 341431
senary (6) 132032
septenary (7) 50216
nonary (9) 17552
undecimal (11) 9115
duodecimal (12) 7018
tridecimal (13) 5690
tetradecimal (14) 45b6
pentadecimal (15) 38cb

As an angle

12,116° = 33 × 360° + 236°
236° ≈ 4.119 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβριϛʹ
Mayan (base 20)
𝋡·𝋪·𝋥·𝋰
Chinese
一萬二千一百一十六
Chinese (financial)
壹萬貳仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٢١١٦ Devanagari १२११६ Bengali ১২১১৬ Tamil ௧௨௧௧௬ Thai ๑๒๑๑๖ Tibetan ༡༢༡༡༦ Khmer ១២១១៦ Lao ໑໒໑໑໖ Burmese ၁၂၁၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 12,116 = 8
e — Euler's number (e)
Digit 12,116 = 3
φ — Golden ratio (φ)
Digit 12,116 = 3
√2 — Pythagoras's (√2)
Digit 12,116 = 8
ln 2 — Natural log of 2
Digit 12,116 = 7
γ — Euler-Mascheroni (γ)
Digit 12,116 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12116, here are decompositions:

  • 3 + 12113 = 12116
  • 7 + 12109 = 12116
  • 19 + 12097 = 12116
  • 43 + 12073 = 12116
  • 67 + 12049 = 12116
  • 73 + 12043 = 12116
  • 79 + 12037 = 12116
  • 109 + 12007 = 12116

Showing the first eight; more decompositions exist.

Unicode codepoint
Kangxi Radical Water
U+2F54
Other symbol (So)

UTF-8 encoding: E2 BD 94 (3 bytes).

Hex color
#002F54
RGB(0, 47, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.84.

Address
0.0.47.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.84

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

Musical pitch

Heard as a frequency, 12,116 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +40¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -22¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +41¢)
Position in π

The digit sequence 12116 first appears in π at position 105,854 of the decimal expansion (the 105,854ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.