Live analysis

8,082

8,082 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.).

8,082 (eight thousand eighty-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 449. Its proper divisors sum to 9,468, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F92.

Abundant Number Cube-Free Evil Number Harshad / Niven Moran Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

8,070 8,071 8,072 8,073 8,074 8,075 8,076 8,077 8,078 8,079 8,080 8,081 8,082 8,083 8,084 8,085 8,086 8,087 8,088 8,089 8,090 8,091 8,092 8,093 8,094

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 2,808
Recamán's sequence: a(2,635) = 8,082
Square (n²): 65,318,724
Cube (n³): 527,905,927,368
Divisor count: 12
σ(n) — sum of divisors: 17,550
φ(n) — Euler's totient: 2,688
Sum of prime factors: 457

Primality

Prime factorization: 2 × 3 ² × 449

Nearest primes: 8,081 (−1) · 8,087 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 449 · 898 · 1347 · 2694 · 4041 (half) · 8082

Aliquot sum (sum of proper divisors): 9,468

Factor pairs (a × b = 8,082)

1 × 8082

2 × 4041

3 × 2694

6 × 1347

9 × 898

18 × 449

First multiples

8,082 · 16,164 (double) · 24,246 · 32,328 · 40,410 · 48,492 · 56,574 · 64,656 · 72,738 · 80,820

Sums & aliquot sequence

As a sum of two squares: 39² + 81²

As consecutive integers: 2,693 + 2,694 + 2,695 2,019 + 2,020 + 2,021 + 2,022 894 + 895 + … + 902 668 + 669 + … + 679

Aliquot sequence: 8,082 → 9,468 → 14,556 → 19,436 → 15,676 → 11,764 → 10,160 → 13,648 → 12,826 → 8,720 → 11,740 → 12,956 → 10,564 → 9,036 → 13,896 → 23,934 → 23,946 — unresolved within range

Continued fraction of √n

√8,082 = [89; (1, 8, 1, 178)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: eight thousand eighty-two
Ordinal: 8082nd
Binary: 1111110010010
Octal: 17622
Hexadecimal: 0x1F92
Base64: H5I=
One's complement: 57,453 (16-bit)
Scientific notation: 8.082 × 10³
As a duration: 8,082 s = 2 hours, 14 minutes, 42 seconds

In other bases

ternary (3) 102002100

quaternary (4) 1332102

quinary (5) 224312

senary (6) 101230

septenary (7) 32364

nonary (9) 12070

undecimal (11) 6088

duodecimal (12) 4816

tridecimal (13) 38a9

tetradecimal (14) 2d34

pentadecimal (15) 25dc

As an angle

8,082° = 22 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ηπβʹ
Mayan (base 20): 𝋡·𝋠·𝋤·𝋢
Chinese: 八千零八十二
Chinese (financial): 捌仟零捌拾貳

In other modern scripts

Eastern Arabic ٨٠٨٢ Devanagari ८०८२ Bengali ৮০৮২ Tamil ௮௦௮௨ Thai ๘๐๘๒ Tibetan ༨༠༨༢ Khmer ៨០៨២ Lao ໘໐໘໒ Burmese ၈၀၈၂

Digit at this position in famous constants

π — Pi (π): Digit 8,082 = 3
e — Euler's number (e): Digit 8,082 = 4
φ — Golden ratio (φ): Digit 8,082 = 8
√2 — Pythagoras's (√2): Digit 8,082 = 8
ln 2 — Natural log of 2: Digit 8,082 = 8
γ — Euler-Mascheroni (γ): Digit 8,082 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8082, here are decompositions:

13 + 8069 = 8082
23 + 8059 = 8082
29 + 8053 = 8082
43 + 8039 = 8082
71 + 8011 = 8082
73 + 8009 = 8082
89 + 7993 = 8082
131 + 7951 = 8082

Showing the first eight; more decompositions exist.

Unicode codepoint

ᾒ

Greek Small Letter Eta With Psili And Varia And Ypogegrammeni

U+1F92

Lowercase letter (Ll)

UTF-8 encoding: E1 BE 92 (3 bytes).

Lookup U+1F92 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001F92

RGB(0, 31, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.146.

Address: 0.0.31.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.146

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

Musical pitch

Heard as a frequency, 8,082 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +39¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -23¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +40¢)

Position in π

The digit sequence 8082 first appears in π at position 10,356 of the decimal expansion (the 10,356ordinal-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.

Look up 8082 on Pi Search ↗