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8,066

8,066 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.).

8,066 (eight thousand sixty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 37 × 109. Written other ways, in hexadecimal, 0x1F82.

Cube-Free Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
6,608
Flips to (rotate 180°)
9,908
Recamán's sequence
a(95,456) = 8,066
Square (n²)
65,060,356
Cube (n³)
524,776,831,496
Divisor count
8
σ(n) — sum of divisors
12,540
φ(n) — Euler's totient
3,888
Sum of prime factors
148

Primality

Prime factorization: 2 × 37 × 109

Nearest primes: 8,059 (−7) · 8,069 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 37 · 74 · 109 · 218 · 4033 (half) · 8066
Aliquot sum (sum of proper divisors): 4,474
Factor pairs (a × b = 8,066)
1 × 8066
2 × 4033
37 × 218
74 × 109
First multiples
8,066 · 16,132 (double) · 24,198 · 32,264 · 40,330 · 48,396 · 56,462 · 64,528 · 72,594 · 80,660

Sums & aliquot sequence

As a sum of two squares: 29² + 85² = 55² + 71²
As consecutive integers: 2,015 + 2,016 + 2,017 + 2,018 200 + 201 + … + 236 20 + 21 + … + 128
Aliquot sequence: 8,066 4,474 2,240 3,856 3,646 1,826 1,198 602 454 230 202 104 106 56 64 63 41 — unresolved within range

Continued fraction of √n

√8,066 = [89; (1, 4, 3, 2, 6, 1, 3, 25, 2, 2, 25, 3, 1, 6, 2, 3, 4, 1, 178)]

Period length 19 — the block in parentheses repeats forever.

Representations

In words
eight thousand sixty-six
Ordinal
8066th
Binary
1111110000010
Octal
17602
Hexadecimal
0x1F82
Base64
H4I=
One's complement
57,469 (16-bit)
Scientific notation
8.066 × 10³
As a duration
8,066 s = 2 hours, 14 minutes, 26 seconds
In other bases
ternary (3) 102001202
quaternary (4) 1332002
quinary (5) 224231
senary (6) 101202
septenary (7) 32342
nonary (9) 12052
undecimal (11) 6073
duodecimal (12) 4802
tridecimal (13) 3896
tetradecimal (14) 2d22
pentadecimal (15) 25cb

As an angle

8,066° = 22 × 360° + 146°
146° ≈ 2.548 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηξϛʹ
Mayan (base 20)
𝋡·𝋠·𝋣·𝋦
Chinese
八千零六十六
Chinese (financial)
捌仟零陸拾陸
In other modern scripts
Eastern Arabic ٨٠٦٦ Devanagari ८०६६ Bengali ৮০৬৬ Tamil ௮௦௬௬ Thai ๘๐๖๖ Tibetan ༨༠༦༦ Khmer ៨០៦៦ Lao ໘໐໖໖ Burmese ၈၀၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 8,066 = 9
e — Euler's number (e)
Digit 8,066 = 6
φ — Golden ratio (φ)
Digit 8,066 = 5
√2 — Pythagoras's (√2)
Digit 8,066 = 7
ln 2 — Natural log of 2
Digit 8,066 = 6
γ — Euler-Mascheroni (γ)
Digit 8,066 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8066, here are decompositions:

  • 7 + 8059 = 8066
  • 13 + 8053 = 8066
  • 73 + 7993 = 8066
  • 103 + 7963 = 8066
  • 139 + 7927 = 8066
  • 193 + 7873 = 8066
  • 199 + 7867 = 8066
  • 277 + 7789 = 8066

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Alpha With Psili And Varia And Ypogegrammeni
U+1F82
Lowercase letter (Ll)

UTF-8 encoding: E1 BE 82 (3 bytes).

Hex color
#001F82
RGB(0, 31, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.130.

Address
0.0.31.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.130

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

Musical pitch

Heard as a frequency, 8,066 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +36¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -27¢)
  • Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +37¢)
Position in π

The digit sequence 8066 first appears in π at position 967 of the decimal expansion (the 967ordinal-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

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