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Number

12,163

12,163 is a prime, odd.

12,163 (twelve thousand one hundred sixty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2F83.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
36
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
36,121
Recamán's sequence
a(22,458) = 12,163
Square (n²)
147,938,569
Cube (n³)
1,799,376,814,747
Divisor count
2
σ(n) — sum of divisors
12,164
φ(n) — Euler's totient
12,162

Primality

12,163 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12163
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,163)
1 × 12163
First multiples
12,163 · 24,326 (double) · 36,489 · 48,652 · 60,815 · 72,978 · 85,141 · 97,304 · 109,467 · 121,630

Sums & aliquot sequence

As consecutive integers: 6,081 + 6,082

Continued fraction of √n

√12,163 = [110; (3, 2, 73, 10, 2, 24, 31, 2, 7, 1, 2, 10, 6, 2, 1, 1, 3, 1, 2, 1, 2, 1, 1, 3, …)]

Representations

In words
twelve thousand one hundred sixty-three
Ordinal
12163rd
Binary
10111110000011
Octal
27603
Hexadecimal
0x2F83
Base64
L4M=
One's complement
53,372 (16-bit)
Scientific notation
1.2163 × 10⁴
As a duration
12,163 s = 3 hours, 22 minutes, 43 seconds
In other bases
ternary (3) 121200111
quaternary (4) 2332003
quinary (5) 342123
senary (6) 132151
septenary (7) 50314
nonary (9) 17614
undecimal (11) 9158
duodecimal (12) 7057
tridecimal (13) 56c8
tetradecimal (14) 460b
pentadecimal (15) 390d

As an angle

12,163° = 33 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιβρξγʹ
Mayan (base 20)
𝋡·𝋪·𝋨·𝋣
Chinese
一萬二千一百六十三
Chinese (financial)
壹萬貳仟壹佰陸拾參
In other modern scripts
Eastern Arabic ١٢١٦٣ Devanagari १२१६३ Bengali ১২১৬৩ Tamil ௧௨௧௬௩ Thai ๑๒๑๖๓ Tibetan ༡༢༡༦༣ Khmer ១២១៦៣ Lao ໑໒໑໖໓ Burmese ၁၂၁၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 12,163 = 9
e — Euler's number (e)
Digit 12,163 = 3
φ — Golden ratio (φ)
Digit 12,163 = 0
√2 — Pythagoras's (√2)
Digit 12,163 = 8
ln 2 — Natural log of 2
Digit 12,163 = 7
γ — Euler-Mascheroni (γ)
Digit 12,163 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,161 (gap of 2)
  • Next prime: 12,197 (gap of 34)

Pair status: twin with 12161.

Unicode codepoint
Kangxi Radical Self
U+2F83
Other symbol (So)

UTF-8 encoding: E2 BE 83 (3 bytes).

Hex color
#002F83
RGB(0, 47, 131)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.131.

Address
0.0.47.131
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.131

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

Musical pitch

Heard as a frequency, 12,163 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +47¢ — about midway to G9)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -16¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +48¢ — about midway to G♯9)
Position in π

The digit sequence 12163 first appears in π at position 48,406 of the decimal expansion (the 48,406ordinal-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

  • 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.