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8,166

8,166 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.).

8,166 (eight thousand one hundred sixty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 1,361. Its proper divisors sum to 8,178, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FE6.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
21
Digit product
288
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
6,618
Flips to (rotate 180°)
9,918
Recamán's sequence
a(10,435) = 8,166
Square (n²)
66,683,556
Cube (n³)
544,537,918,296
Divisor count
8
σ(n) — sum of divisors
16,344
φ(n) — Euler's totient
2,720
Sum of prime factors
1,366

Primality

Prime factorization: 2 × 3 × 1361

Nearest primes: 8,161 (−5) · 8,167 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 1361 · 2722 · 4083 (half) · 8166
Aliquot sum (sum of proper divisors): 8,178
Factor pairs (a × b = 8,166)
1 × 8166
2 × 4083
3 × 2722
6 × 1361
First multiples
8,166 · 16,332 (double) · 24,498 · 32,664 · 40,830 · 48,996 · 57,162 · 65,328 · 73,494 · 81,660

Sums & aliquot sequence

As consecutive integers: 2,721 + 2,722 + 2,723 2,040 + 2,041 + 2,042 + 2,043 675 + 676 + … + 686
Aliquot sequence: 8,166 8,178 9,102 10,050 15,246 26,250 48,726 56,886 63,114 65,814 84,714 109,014 109,026 135,636 186,924 262,084 196,570 — unresolved within range

Continued fraction of √n

√8,166 = [90; (2, 1, 2, 1, 2, 1, 7, 1, 6, 1, 35, 3, 1, 1, 1, 17, 2, 3, 2, 3, 1, 6, 2, 5, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
eight thousand one hundred sixty-six
Ordinal
8166th
Binary
1111111100110
Octal
17746
Hexadecimal
0x1FE6
Base64
H+Y=
One's complement
57,369 (16-bit)
Scientific notation
8.166 × 10³
As a duration
8,166 s = 2 hours, 16 minutes, 6 seconds
In other bases
ternary (3) 102012110
quaternary (4) 1333212
quinary (5) 230131
senary (6) 101450
septenary (7) 32544
nonary (9) 12173
undecimal (11) 6154
duodecimal (12) 4886
tridecimal (13) 3942
tetradecimal (14) 2d94
pentadecimal (15) 2646

As an angle

8,166° = 22 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηρξϛʹ
Mayan (base 20)
𝋡·𝋠·𝋨·𝋦
Chinese
八千一百六十六
Chinese (financial)
捌仟壹佰陸拾陸
In other modern scripts
Eastern Arabic ٨١٦٦ Devanagari ८१६६ Bengali ৮১৬৬ Tamil ௮௧௬௬ Thai ๘๑๖๖ Tibetan ༨༡༦༦ Khmer ៨១៦៦ Lao ໘໑໖໖ Burmese ၈၁၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 8,166 = 6
e — Euler's number (e)
Digit 8,166 = 3
φ — Golden ratio (φ)
Digit 8,166 = 4
√2 — Pythagoras's (√2)
Digit 8,166 = 7
ln 2 — Natural log of 2
Digit 8,166 = 1
γ — Euler-Mascheroni (γ)
Digit 8,166 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8166, here are decompositions:

  • 5 + 8161 = 8166
  • 19 + 8147 = 8166
  • 43 + 8123 = 8166
  • 73 + 8093 = 8166
  • 79 + 8087 = 8166
  • 97 + 8069 = 8166
  • 107 + 8059 = 8166
  • 113 + 8053 = 8166

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Upsilon With Perispomeni
U+1FE6
Lowercase letter (Ll)

UTF-8 encoding: E1 BF A6 (3 bytes).

Hex color
#001FE6
RGB(0, 31, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.230.

Address
0.0.31.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.230

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

Musical pitch

Heard as a frequency, 8,166 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -43¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -6¢)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -42¢)
Position in π

The digit sequence 8166 first appears in π at position 23,503 of the decimal expansion (the 23,503ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.