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8,222

8,222 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

8,222 (eight thousand two hundred twenty-two) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 4,111. Written other ways, in hexadecimal, 0x201E.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
64
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
2,228
Recamán's sequence
a(10,323) = 8,222
Square (n²)
67,601,284
Cube (n³)
555,817,757,048
Divisor count
4
σ(n) — sum of divisors
12,336
φ(n) — Euler's totient
4,110
Sum of prime factors
4,113

Primality

Prime factorization: 2 × 4111

Nearest primes: 8,221 (−1) · 8,231 (+9)

Divisors & multiples

All divisors (4)
1 · 2 · 4111 (half) · 8222
Aliquot sum (sum of proper divisors): 4,114
Factor pairs (a × b = 8,222)
1 × 8222
2 × 4111
First multiples
8,222 · 16,444 (double) · 24,666 · 32,888 · 41,110 · 49,332 · 57,554 · 65,776 · 73,998 · 82,220

Sums & aliquot sequence

As consecutive integers: 2,054 + 2,055 + 2,056 + 2,057
Aliquot sequence: 8,222 4,114 3,068 2,812 2,508 4,212 7,646 3,826 1,916 1,444 1,223 1 0 — terminates at zero

Continued fraction of √n

√8,222 = [90; (1, 2, 12, 1, 1, 1, 1, 1, 2, 3, 3, 7, 1, 15, 1, 1, 1, 1, 5, 4, 25, 1, 2, 90, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
eight thousand two hundred twenty-two
Ordinal
8222nd
Binary
10000000011110
Octal
20036
Hexadecimal
0x201E
Base64
IB4=
One's complement
57,313 (16-bit)
Scientific notation
8.222 × 10³
As a duration
8,222 s = 2 hours, 17 minutes, 2 seconds
In other bases
ternary (3) 102021112
quaternary (4) 2000132
quinary (5) 230342
senary (6) 102022
septenary (7) 32654
nonary (9) 12245
undecimal (11) 61a5
duodecimal (12) 4912
tridecimal (13) 3986
tetradecimal (14) 2dd4
pentadecimal (15) 2682

As an angle

8,222° = 22 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ησκβʹ
Mayan (base 20)
𝋡·𝋠·𝋫·𝋢
Chinese
八千二百二十二
Chinese (financial)
捌仟貳佰貳拾貳
In other modern scripts
Eastern Arabic ٨٢٢٢ Devanagari ८२२२ Bengali ৮২২২ Tamil ௮௨௨௨ Thai ๘๒๒๒ Tibetan ༨༢༢༢ Khmer ៨២២២ Lao ໘໒໒໒ Burmese ၈၂၂၂

Digit at this position in famous constants

π — Pi (π)
Digit 8,222 = 2
e — Euler's number (e)
Digit 8,222 = 5
φ — Golden ratio (φ)
Digit 8,222 = 4
√2 — Pythagoras's (√2)
Digit 8,222 = 5
ln 2 — Natural log of 2
Digit 8,222 = 4
γ — Euler-Mascheroni (γ)
Digit 8,222 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8222, here are decompositions:

  • 3 + 8219 = 8222
  • 13 + 8209 = 8222
  • 31 + 8191 = 8222
  • 43 + 8179 = 8222
  • 61 + 8161 = 8222
  • 163 + 8059 = 8222
  • 211 + 8011 = 8222
  • 229 + 7993 = 8222

Showing the first eight; more decompositions exist.

Unicode codepoint
Double Low-9 Quotation Mark
U+201E
Open punctuation (Ps)

UTF-8 encoding: E2 80 9E (3 bytes).

Hex color
#00201E
RGB(0, 32, 30)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.30.

Address
0.0.32.30
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.30

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

Musical pitch

Heard as a frequency, 8,222 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -31¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +6¢)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -30¢)
Position in π

The digit sequence 8222 first appears in π at position 9,292 of the decimal expansion (the 9,292ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.