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Number

11,831

11,831 is a prime, odd.

11,831 (eleven thousand eight hundred thirty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2E37.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
24
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
13,811
Recamán's sequence
a(23,122) = 11,831
Square (n²)
139,972,561
Cube (n³)
1,656,015,369,191
Divisor count
2
σ(n) — sum of divisors
11,832
φ(n) — Euler's totient
11,830

Primality

11,831 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 11831
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 11,831)
1 × 11831
First multiples
11,831 · 23,662 (double) · 35,493 · 47,324 · 59,155 · 70,986 · 82,817 · 94,648 · 106,479 · 118,310

Sums & aliquot sequence

As consecutive integers: 5,915 + 5,916

Continued fraction of √n

√11,831 = [108; (1, 3, 2, 1, 4, 2, 1, 2, 1, 1, 1, 12, 6, 7, 2, 1, 30, 2, 1, 1, 8, 1, 6, 8, …)]

Representations

In words
eleven thousand eight hundred thirty-one
Ordinal
11831st
Binary
10111000110111
Octal
27067
Hexadecimal
0x2E37
Base64
Ljc=
One's complement
53,704 (16-bit)
Scientific notation
1.1831 × 10⁴
As a duration
11,831 s = 3 hours, 17 minutes, 11 seconds
In other bases
ternary (3) 121020012
quaternary (4) 2320313
quinary (5) 334311
senary (6) 130435
septenary (7) 46331
nonary (9) 17205
undecimal (11) 8986
duodecimal (12) 6a1b
tridecimal (13) 5501
tetradecimal (14) 4451
pentadecimal (15) 378b

As an angle

11,831° = 32 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιαωλαʹ
Mayan (base 20)
𝋡·𝋩·𝋫·𝋫
Chinese
一萬一千八百三十一
Chinese (financial)
壹萬壹仟捌佰參拾壹
In other modern scripts
Eastern Arabic ١١٨٣١ Devanagari ११८३१ Bengali ১১৮৩১ Tamil ௧௧௮௩௧ Thai ๑๑๘๓๑ Tibetan ༡༡༨༣༡ Khmer ១១៨៣១ Lao ໑໑໘໓໑ Burmese ၁၁၈၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 11,831 = 0
e — Euler's number (e)
Digit 11,831 = 5
φ — Golden ratio (φ)
Digit 11,831 = 1
√2 — Pythagoras's (√2)
Digit 11,831 = 1
ln 2 — Natural log of 2
Digit 11,831 = 7
γ — Euler-Mascheroni (γ)
Digit 11,831 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11,827 (gap of 4)
  • Next prime: 11,833 (gap of 2)

Pair status: twin with 11833, cousin with 11827.

Unicode codepoint
Dagger With Right Guard
U+2E37
Other punctuation (Po)

UTF-8 encoding: E2 B8 B7 (3 bytes).

Hex color
#002E37
RGB(0, 46, 55)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.55.

Address
0.0.46.55
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.46.55

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

Musical pitch

Heard as a frequency, 11,831 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, -1¢)
  • Scientific pitch (C4 = 256 Hz): F♯9 (11585.2 Hz, +36¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, exact)
Position in π

The digit sequence 11831 first appears in π at position 34,482 of the decimal expansion (the 34,482ordinal-suffix:nd 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.