Live analysis

4,082

4,082 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.).

4,082 (four thousand eighty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 157. Written other ways, in binary, 111111110010.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

4,070 4,071 4,072 4,073 4,074 4,075 4,076 4,077 4,078 4,079 4,080 4,081 4,082 4,083 4,084 4,085 4,086 4,087 4,088 4,089 4,090 4,091 4,092 4,093 4,094

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 2,804
Recamán's sequence: a(14,227) = 4,082
Square (n²): 16,662,724
Cube (n³): 68,017,239,368
Divisor count: 8
σ(n) — sum of divisors: 6,636
φ(n) — Euler's totient: 1,872
Sum of prime factors: 172

Primality

Prime factorization: 2 × 13 × 157

Nearest primes: 4,079 (−3) · 4,091 (+9)

Divisors & multiples

All divisors (8)

1 · 2 · 13 · 26 · 157 · 314 · 2041 (half) · 4082

Aliquot sum (sum of proper divisors): 2,554

Factor pairs (a × b = 4,082)

1 × 4082

2 × 2041

13 × 314

26 × 157

First multiples

4,082 · 8,164 (double) · 12,246 · 16,328 · 20,410 · 24,492 · 28,574 · 32,656 · 36,738 · 40,820

Sums & aliquot sequence

As a sum of two squares: 19² + 61² = 41² + 49²

As consecutive integers: 1,019 + 1,020 + 1,021 + 1,022 308 + 309 + … + 320 53 + 54 + … + 104

Aliquot sequence: 4,082 → 2,554 → 1,280 → 1,786 → 1,094 → 550 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 — unresolved within range

Continued fraction of √n

√4,082 = [63; (1, 8, 7, 2, 2, 7, 8, 1, 126)]

Period length 9 — the block in parentheses repeats forever.

Representations

In words: four thousand eighty-two
Ordinal: 4082nd
Binary: 111111110010
Octal: 7762
Hexadecimal: 0xFF2
Base64: D/I=
One's complement: 61,453 (16-bit)
Scientific notation: 4.082 × 10³
As a duration: 4,082 s = 1 hour, 8 minutes, 2 seconds

In other bases

ternary (3) 12121012

quaternary (4) 333302

quinary (5) 112312

senary (6) 30522

septenary (7) 14621

nonary (9) 5535

undecimal (11) 3081

duodecimal (12) 2442

tridecimal (13) 1b20

tetradecimal (14) 16b8

pentadecimal (15) 1322

Palindromic in base 12

As an angle

4,082° = 11 × 360° + 122°

122° ≈ 2.129 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵δπβʹ
Mayan (base 20): 𝋪·𝋤·𝋢
Chinese: 四千零八十二
Chinese (financial): 肆仟零捌拾貳

In other modern scripts

Eastern Arabic ٤٠٨٢ Devanagari ४०८२ Bengali ৪০৮২ Tamil ௪௦௮௨ Thai ๔๐๘๒ Tibetan ༤༠༨༢ Khmer ៤០៨២ Lao ໔໐໘໒ Burmese ၄၀၈၂

Digit at this position in famous constants

π — Pi (π): Digit 4,082 = 3
e — Euler's number (e): Digit 4,082 = 7
φ — Golden ratio (φ): Digit 4,082 = 4
√2 — Pythagoras's (√2): Digit 4,082 = 9
ln 2 — Natural log of 2: Digit 4,082 = 9
γ — Euler-Mascheroni (γ): Digit 4,082 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4082, here are decompositions:

3 + 4079 = 4082
31 + 4051 = 4082
61 + 4021 = 4082
79 + 4003 = 4082
139 + 3943 = 4082
151 + 3931 = 4082
163 + 3919 = 4082
193 + 3889 = 4082

Showing the first eight; more decompositions exist.

Hex color

#000FF2

RGB(0, 15, 242)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.242.

Address: 0.0.15.242
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.242

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

Musical pitch

Heard as a frequency, 4,082 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -44¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -6¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -42¢)

Position in π

The digit sequence 4082 first appears in π at position 37,235 of the decimal expansion (the 37,235ordinal-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 4082 on Pi Search ↗