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11,816

11,816 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.).

11,816 (eleven thousand eight hundred sixteen) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 211. Its proper divisors sum to 13,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2E28.

Abundant Number Arithmetic Number Evil Number Flippable Happy Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
48
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
61,811
Flips to (rotate 180°)
91,811
Recamán's sequence
a(23,152) = 11,816
Square (n²)
139,617,856
Cube (n³)
1,649,724,586,496
Divisor count
16
σ(n) — sum of divisors
25,440
φ(n) — Euler's totient
5,040
Sum of prime factors
224

Primality

Prime factorization: 2 3 × 7 × 211

Nearest primes: 11,813 (−3) · 11,821 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 211 · 422 · 844 · 1477 · 1688 · 2954 · 5908 (half) · 11816
Aliquot sum (sum of proper divisors): 13,624
Factor pairs (a × b = 11,816)
1 × 11816
2 × 5908
4 × 2954
7 × 1688
8 × 1477
14 × 844
28 × 422
56 × 211
First multiples
11,816 · 23,632 (double) · 35,448 · 47,264 · 59,080 · 70,896 · 82,712 · 94,528 · 106,344 · 118,160

Sums & aliquot sequence

As consecutive integers: 1,685 + 1,686 + … + 1,691 731 + 732 + … + 746 50 + 51 + … + 161
Aliquot sequence: 11,816 13,624 14,096 13,246 7,274 3,640 6,440 10,840 13,640 20,920 26,240 38,020 41,864 36,646 19,298 9,652 8,268 — unresolved within range

Continued fraction of √n

√11,816 = [108; (1, 2, 2, 1, 6, 3, 5, 8, 1, 1, 30, 1, 1, 8, 5, 3, 6, 1, 2, 2, 1, 216)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
eleven thousand eight hundred sixteen
Ordinal
11816th
Binary
10111000101000
Octal
27050
Hexadecimal
0x2E28
Base64
Lig=
One's complement
53,719 (16-bit)
Scientific notation
1.1816 × 10⁴
As a duration
11,816 s = 3 hours, 16 minutes, 56 seconds
In other bases
ternary (3) 121012122
quaternary (4) 2320220
quinary (5) 334231
senary (6) 130412
septenary (7) 46310
nonary (9) 17178
undecimal (11) 8972
duodecimal (12) 6a08
tridecimal (13) 54bc
tetradecimal (14) 4440
pentadecimal (15) 377b

As an angle

11,816° = 32 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιαωιϛʹ
Mayan (base 20)
𝋡·𝋩·𝋪·𝋰
Chinese
一萬一千八百一十六
Chinese (financial)
壹萬壹仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١١٨١٦ Devanagari ११८१६ Bengali ১১৮১৬ Tamil ௧௧௮௧௬ Thai ๑๑๘๑๖ Tibetan ༡༡༨༡༦ Khmer ១១៨១៦ Lao ໑໑໘໑໖ Burmese ၁၁၈၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 11,816 = 4
e — Euler's number (e)
Digit 11,816 = 9
φ — Golden ratio (φ)
Digit 11,816 = 6
√2 — Pythagoras's (√2)
Digit 11,816 = 4
ln 2 — Natural log of 2
Digit 11,816 = 3
γ — Euler-Mascheroni (γ)
Digit 11,816 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 11816, here are decompositions:

  • 3 + 11813 = 11816
  • 37 + 11779 = 11816
  • 73 + 11743 = 11816
  • 97 + 11719 = 11816
  • 127 + 11689 = 11816
  • 139 + 11677 = 11816
  • 199 + 11617 = 11816
  • 223 + 11593 = 11816

Showing the first eight; more decompositions exist.

Unicode codepoint
Left Double Parenthesis
U+2E28
Open punctuation (Ps)

UTF-8 encoding: E2 B8 A8 (3 bytes).

Hex color
#002E28
RGB(0, 46, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.40.

Address
0.0.46.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.46.40

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

Musical pitch

Heard as a frequency, 11,816 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, -3¢)
  • Scientific pitch (C4 = 256 Hz): F♯9 (11585.2 Hz, +34¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, -2¢)
Position in π

The digit sequence 11816 first appears in π at position 176,804 of the decimal expansion (the 176,804ordinal-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.