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Number

12,823

12,823 is a prime, odd.

12,823 (twelve thousand eight hundred twenty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3217.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
32,821
Recamán's sequence
a(48,629) = 12,823
Square (n²)
164,429,329
Cube (n³)
2,108,477,285,767
Divisor count
2
σ(n) — sum of divisors
12,824
φ(n) — Euler's totient
12,822

Primality

12,823 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12823
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,823)
1 × 12823
First multiples
12,823 · 25,646 (double) · 38,469 · 51,292 · 64,115 · 76,938 · 89,761 · 102,584 · 115,407 · 128,230

Sums & aliquot sequence

As consecutive integers: 6,411 + 6,412

Continued fraction of √n

√12,823 = [113; (4, 5, 3, 1, 1, 1, 5, 3, 9, 1, 1, 7, 3, 1, 1, 12, 75, 2, 2, 2, 1, 2, 2, 1, …)]

Representations

In words
twelve thousand eight hundred twenty-three
Ordinal
12823rd
Binary
11001000010111
Octal
31027
Hexadecimal
0x3217
Base64
Mhc=
One's complement
52,712 (16-bit)
Scientific notation
1.2823 × 10⁴
As a duration
12,823 s = 3 hours, 33 minutes, 43 seconds
In other bases
ternary (3) 122120221
quaternary (4) 3020113
quinary (5) 402243
senary (6) 135211
septenary (7) 52246
nonary (9) 18527
undecimal (11) 96a8
duodecimal (12) 7507
tridecimal (13) 5ab5
tetradecimal (14) 495d
pentadecimal (15) 3bed

As an angle

12,823° = 35 × 360° + 223°
223° ≈ 3.892 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιβωκγʹ
Mayan (base 20)
𝋡·𝋬·𝋡·𝋣
Chinese
一萬二千八百二十三
Chinese (financial)
壹萬貳仟捌佰貳拾參
In other modern scripts
Eastern Arabic ١٢٨٢٣ Devanagari १२८२३ Bengali ১২৮২৩ Tamil ௧௨௮௨௩ Thai ๑๒๘๒๓ Tibetan ༡༢༨༢༣ Khmer ១២៨២៣ Lao ໑໒໘໒໓ Burmese ၁၂၈၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 12,823 = 4
e — Euler's number (e)
Digit 12,823 = 2
φ — Golden ratio (φ)
Digit 12,823 = 0
√2 — Pythagoras's (√2)
Digit 12,823 = 5
ln 2 — Natural log of 2
Digit 12,823 = 9
γ — Euler-Mascheroni (γ)
Digit 12,823 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,821 (gap of 2)
  • Next prime: 12,829 (gap of 6)

Pair status: twin with 12821, sexy with 12829.

Unicode codepoint
Parenthesized Hangul Chieuch A
U+3217
Other symbol (So)

UTF-8 encoding: E3 88 97 (3 bytes).

Hex color
#003217
RGB(0, 50, 23)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.23.

Address
0.0.50.23
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.23

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

Musical pitch

Heard as a frequency, 12,823 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, +38¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, -24¢)
  • Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, +39¢)
Position in π

The digit sequence 12823 first appears in π at position 30,758 of the decimal expansion (the 30,758ordinal-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.