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Number

10,831

10,831 is a prime, odd.

10,831 (ten 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, 0x2A4F.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
13,801
Recamán's sequence
a(174,597) = 10,831
Square (n²)
117,310,561
Cube (n³)
1,270,590,686,191
Divisor count
2
σ(n) — sum of divisors
10,832
φ(n) — Euler's totient
10,830

Primality

10,831 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10831
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,831)
1 × 10831
First multiples
10,831 · 21,662 (double) · 32,493 · 43,324 · 54,155 · 64,986 · 75,817 · 86,648 · 97,479 · 108,310

Sums & aliquot sequence

As consecutive integers: 5,415 + 5,416

Continued fraction of √n

√10,831 = [104; (13, 1, 6, 1, 3, 1, 1, 4, 14, 1, 1, 1, 5, 3, 2, 9, 2, 11, 1, 3, 3, 20, 1, 1, …)]

Representations

In words
ten thousand eight hundred thirty-one
Ordinal
10831st
Binary
10101001001111
Octal
25117
Hexadecimal
0x2A4F
Base64
Kk8=
One's complement
54,704 (16-bit)
Scientific notation
1.0831 × 10⁴
As a duration
10,831 s = 3 hours, 31 seconds
In other bases
ternary (3) 112212011
quaternary (4) 2221033
quinary (5) 321311
senary (6) 122051
septenary (7) 43402
nonary (9) 15764
undecimal (11) 8157
duodecimal (12) 6327
tridecimal (13) 4c12
tetradecimal (14) 3d39
pentadecimal (15) 3321

As an angle

10,831° = 30 × 360° + 31°
31° ≈ 0.541 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 · 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιωλαʹ
Mayan (base 20)
𝋡·𝋧·𝋡·𝋫
Chinese
一萬零八百三十一
Chinese (financial)
壹萬零捌佰參拾壹
In other modern scripts
Eastern Arabic ١٠٨٣١ Devanagari १०८३१ Bengali ১০৮৩১ Tamil ௧௦௮௩௧ Thai ๑๐๘๓๑ Tibetan ༡༠༨༣༡ Khmer ១០៨៣១ Lao ໑໐໘໓໑ Burmese ၁၀၈၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,831 = 3
e — Euler's number (e)
Digit 10,831 = 6
φ — Golden ratio (φ)
Digit 10,831 = 9
√2 — Pythagoras's (√2)
Digit 10,831 = 7
ln 2 — Natural log of 2
Digit 10,831 = 9
γ — Euler-Mascheroni (γ)
Digit 10,831 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,799 (gap of 32)
  • Next prime: 10,837 (gap of 6)

Pair status: sexy with 10837.

Unicode codepoint
Double Square Union
U+2A4F
Math symbol (Sm)

UTF-8 encoding: E2 A9 8F (3 bytes).

Hex color
#002A4F
RGB(0, 42, 79)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.79.

Address
0.0.42.79
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.79

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

Musical pitch

Heard as a frequency, 10,831 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +46¢ — about midway to F9)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, -17¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +47¢ — about midway to F♯9)
Position in π

The digit sequence 10831 first appears in π at position 25,353 of the decimal expansion (the 25,353ordinal-suffix:rd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.