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Number

8,081

8,081 is a prime, odd.

8,081 (eight thousand eighty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1F91.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Flippable Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

10 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
1,808
Flips to (rotate 180°)
1,808
Recamán's sequence
a(2,633) = 8,081
Square (n²)
65,302,561
Cube (n³)
527,709,995,441
Divisor count
2
σ(n) — sum of divisors
8,082
φ(n) — Euler's totient
8,080

Primality

8,081 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 8081
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 8,081)
1 × 8081
First multiples
8,081 · 16,162 (double) · 24,243 · 32,324 · 40,405 · 48,486 · 56,567 · 64,648 · 72,729 · 80,810

Sums & aliquot sequence

As a sum of two squares: 41² + 80²
As consecutive integers: 4,040 + 4,041

Continued fraction of √n

√8,081 = [89; (1, 8, 2, 7, 2, 1, 10, 1, 1, 3, 1, 35, 5, 1, 1, 2, 3, 1, 3, 1, 2, 1, 1, 1, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words
eight thousand eighty-one
Ordinal
8081st
Binary
1111110010001
Octal
17621
Hexadecimal
0x1F91
Base64
H5E=
One's complement
57,454 (16-bit)
Scientific notation
8.081 × 10³
As a duration
8,081 s = 2 hours, 14 minutes, 41 seconds
In other bases
ternary (3) 102002022
quaternary (4) 1332101
quinary (5) 224311
senary (6) 101225
septenary (7) 32363
nonary (9) 12068
undecimal (11) 6087
duodecimal (12) 4815
tridecimal (13) 38a8
tetradecimal (14) 2d33
pentadecimal (15) 25db

As an angle

8,081° = 22 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ηπαʹ
Mayan (base 20)
𝋡·𝋠·𝋤·𝋡
Chinese
八千零八十一
Chinese (financial)
捌仟零捌拾壹
In other modern scripts
Eastern Arabic ٨٠٨١ Devanagari ८०८१ Bengali ৮০৮১ Tamil ௮௦௮௧ Thai ๘๐๘๑ Tibetan ༨༠༨༡ Khmer ៨០៨១ Lao ໘໐໘໑ Burmese ၈၀၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 8,081 = 5
e — Euler's number (e)
Digit 8,081 = 6
φ — Golden ratio (φ)
Digit 8,081 = 7
√2 — Pythagoras's (√2)
Digit 8,081 = 7
ln 2 — Natural log of 2
Digit 8,081 = 7
γ — Euler-Mascheroni (γ)
Digit 8,081 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 8,069 (gap of 12)
  • Next prime: 8,087 (gap of 6)

Pair status: sexy with 8087.

Unicode codepoint
Greek Small Letter Eta With Dasia And Ypogegrammeni
U+1F91
Lowercase letter (Ll)

UTF-8 encoding: E1 BE 91 (3 bytes).

Hex color
#001F91
RGB(0, 31, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.145.

Address
0.0.31.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.145

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

Musical pitch

Heard as a frequency, 8,081 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +39¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -24¢)
  • Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +40¢)
Position in π

The digit sequence 8081 first appears in π at position 10,882 of the decimal expansion (the 10,882ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.