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8,042

8,042 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.).

8,042 (eight thousand forty-two) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 4,021. Written other ways, in hexadecimal, 0x1F6A.

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

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
2,408
Recamán's sequence
a(25,512) = 8,042
Square (n²)
64,673,764
Cube (n³)
520,106,410,088
Divisor count
4
σ(n) — sum of divisors
12,066
φ(n) — Euler's totient
4,020
Sum of prime factors
4,023

Primality

Prime factorization: 2 × 4021

Nearest primes: 8,039 (−3) · 8,053 (+11)

Divisors & multiples

All divisors (4)
1 · 2 · 4021 (half) · 8042
Aliquot sum (sum of proper divisors): 4,024
Factor pairs (a × b = 8,042)
1 × 8042
2 × 4021
First multiples
8,042 · 16,084 (double) · 24,126 · 32,168 · 40,210 · 48,252 · 56,294 · 64,336 · 72,378 · 80,420

Sums & aliquot sequence

As a sum of two squares: 11² + 89²
As consecutive integers: 2,009 + 2,010 + 2,011 + 2,012
Aliquot sequence: 8,042 4,024 3,536 4,276 3,214 1,610 1,846 1,178 742 554 280 440 640 890 730 602 454 — unresolved within range

Continued fraction of √n

√8,042 = [89; (1, 2, 10, 4, 1, 1, 1, 1, 1, 7, 1, 1, 7, 1, 1, 1, 1, 1, 4, 10, 2, 1, 178)]

Period length 23 — the block in parentheses repeats forever.

Representations

In words
eight thousand forty-two
Ordinal
8042nd
Binary
1111101101010
Octal
17552
Hexadecimal
0x1F6A
Base64
H2o=
One's complement
57,493 (16-bit)
Scientific notation
8.042 × 10³
As a duration
8,042 s = 2 hours, 14 minutes, 2 seconds
In other bases
ternary (3) 102000212
quaternary (4) 1331222
quinary (5) 224132
senary (6) 101122
septenary (7) 32306
nonary (9) 12025
undecimal (11) 6051
duodecimal (12) 47a2
tridecimal (13) 3878
tetradecimal (14) 2d06
pentadecimal (15) 25b2

As an angle

8,042° = 22 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ημβʹ
Mayan (base 20)
𝋡·𝋠·𝋢·𝋢
Chinese
八千零四十二
Chinese (financial)
捌仟零肆拾貳
In other modern scripts
Eastern Arabic ٨٠٤٢ Devanagari ८०४२ Bengali ৮০৪২ Tamil ௮௦௪௨ Thai ๘๐๔๒ Tibetan ༨༠༤༢ Khmer ៨០៤២ Lao ໘໐໔໒ Burmese ၈၀၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 8,042 = 0
e — Euler's number (e)
Digit 8,042 = 0
φ — Golden ratio (φ)
Digit 8,042 = 5
√2 — Pythagoras's (√2)
Digit 8,042 = 1
ln 2 — Natural log of 2
Digit 8,042 = 3
γ — Euler-Mascheroni (γ)
Digit 8,042 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8042, here are decompositions:

  • 3 + 8039 = 8042
  • 31 + 8011 = 8042
  • 79 + 7963 = 8042
  • 109 + 7933 = 8042
  • 163 + 7879 = 8042
  • 283 + 7759 = 8042
  • 373 + 7669 = 8042
  • 421 + 7621 = 8042

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Capital Letter Omega With Psili And Varia
U+1F6A
Uppercase letter (Lu)

UTF-8 encoding: E1 BD AA (3 bytes).

Hex color
#001F6A
RGB(0, 31, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.106.

Address
0.0.31.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.106

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

Musical pitch

Heard as a frequency, 8,042 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +30¢)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -32¢)
  • Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +32¢)
Position in π

The digit sequence 8042 first appears in π at position 18,182 of the decimal expansion (the 18,182ordinal-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

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