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Number

18,223

18,223 is a prime, odd.

18,223 (eighteen thousand two 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, 0x472F.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
32,281
Recamán's sequence
a(15,434) = 18,223
Square (n²)
332,077,729
Cube (n³)
6,051,452,455,567
Divisor count
2
σ(n) — sum of divisors
18,224
φ(n) — Euler's totient
18,222

Primality

18,223 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18223
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,223)
1 × 18223
First multiples
18,223 · 36,446 (double) · 54,669 · 72,892 · 91,115 · 109,338 · 127,561 · 145,784 · 164,007 · 182,230

Sums & aliquot sequence

As consecutive integers: 9,111 + 9,112

Continued fraction of √n

√18,223 = [134; (1, 133, 1, 268)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
eighteen thousand two hundred twenty-three
Ordinal
18223rd
Binary
100011100101111
Octal
43457
Hexadecimal
0x472F
Base64
Ry8=
One's complement
47,312 (16-bit)
Scientific notation
1.8223 × 10⁴
As a duration
18,223 s = 5 hours, 3 minutes, 43 seconds
In other bases
ternary (3) 220222221
quaternary (4) 10130233
quinary (5) 1040343
senary (6) 220211
septenary (7) 104062
nonary (9) 26887
undecimal (11) 12767
duodecimal (12) a667
tridecimal (13) 83aa
tetradecimal (14) 68d9
pentadecimal (15) 55ed

As an angle

18,223° = 50 × 360° + 223°
223° ≈ 3.892 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιησκγʹ
Mayan (base 20)
𝋢·𝋥·𝋫·𝋣
Chinese
一萬八千二百二十三
Chinese (financial)
壹萬捌仟貳佰貳拾參
In other modern scripts
Eastern Arabic ١٨٢٢٣ Devanagari १८२२३ Bengali ১৮২২৩ Tamil ௧௮௨௨௩ Thai ๑๘๒๒๓ Tibetan ༡༨༢༢༣ Khmer ១៨២២៣ Lao ໑໘໒໒໓ Burmese ၁၈၂၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 18,223 = 3
e — Euler's number (e)
Digit 18,223 = 5
φ — Golden ratio (φ)
Digit 18,223 = 9
√2 — Pythagoras's (√2)
Digit 18,223 = 8
ln 2 — Natural log of 2
Digit 18,223 = 7
γ — Euler-Mascheroni (γ)
Digit 18,223 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,217 (gap of 6)
  • Next prime: 18,229 (gap of 6)

Pair status: sexy with 18217, sexy with 18229.

Unicode codepoint
CJK Unified Ideograph-472F
U+472F
Other letter (Lo)

UTF-8 encoding: E4 9C AF (3 bytes).

Hex color
#00472F
RGB(0, 71, 47)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.71.47.

Address
0.0.71.47
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.71.47

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

Musical pitch

Heard as a frequency, 18,223 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +47¢ — about midway to D10)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -16¢)
  • Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +48¢ — about midway to D♯10)
Position in π

The digit sequence 18223 first appears in π at position 181,453 of the decimal expansion (the 181,453ordinal-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.