number.wiki
Live analysis

82,004

82,004 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.).
Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
40,028
Recamán's sequence
a(23,727) = 82,004
Square (n²)
6,724,656,016
Cube (n³)
551,448,691,936,064
Divisor count
24
σ(n) — sum of divisors
164,640
φ(n) — Euler's totient
35,424
Sum of prime factors
119

Primality

Prime factorization: 2 2 × 13 × 19 × 83

Nearest primes: 82,003 (−1) · 82,007 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 19 · 26 · 38 · 52 · 76 · 83 · 166 · 247 · 332 · 494 · 988 · 1079 · 1577 · 2158 · 3154 · 4316 · 6308 · 20501 · 41002 (half) · 82004
Aliquot sum (sum of proper divisors): 82,636
Factor pairs (a × b = 82,004)
1 × 82004
2 × 41002
4 × 20501
13 × 6308
19 × 4316
26 × 3154
38 × 2158
52 × 1577
76 × 1079
83 × 988
166 × 494
247 × 332
First multiples
82,004 · 164,008 (double) · 246,012 · 328,016 · 410,020 · 492,024 · 574,028 · 656,032 · 738,036 · 820,040

Sums & aliquot sequence

As consecutive integers: 10,247 + 10,248 + … + 10,254 6,302 + 6,303 + … + 6,314 4,307 + 4,308 + … + 4,325 947 + 948 + … + 1,029
Aliquot sequence: 82,004 82,636 64,476 104,924 89,620 98,624 108,640 187,712 239,008 353,696 442,624 702,016 891,072 2,437,344 6,594,336 14,843,808 34,951,392 — unresolved within range

Representations

In words
eighty-two thousand four
Ordinal
82004th
Binary
10100000001010100
Octal
240124
Hexadecimal
0x14054
Base64
AUBU
One's complement
4,294,885,291 (32-bit)
In other bases
ternary (3) 11011111012
quaternary (4) 110001110
quinary (5) 10111004
senary (6) 1431352
septenary (7) 461036
nonary (9) 134435
undecimal (11) 5667a
duodecimal (12) 3b558
tridecimal (13) 2b430
tetradecimal (14) 21c56
pentadecimal (15) 1946e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πβδʹ
Mayan (base 20)
𝋪·𝋥·𝋠·𝋤
Chinese
八萬二千零四
Chinese (financial)
捌萬貳仟零肆
In other modern scripts
Eastern Arabic ٨٢٠٠٤ Devanagari ८२००४ Bengali ৮২০০৪ Tamil ௮௨௦௦௪ Thai ๘๒๐๐๔ Tibetan ༨༢༠༠༤ Khmer ៨២០០៤ Lao ໘໒໐໐໔ Burmese ၈၂၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 82,004 = 0
e — Euler's number (e)
Digit 82,004 = 4
φ — Golden ratio (φ)
Digit 82,004 = 1
√2 — Pythagoras's (√2)
Digit 82,004 = 8
ln 2 — Natural log of 2
Digit 82,004 = 9
γ — Euler-Mascheroni (γ)
Digit 82,004 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 82004, here are decompositions:

  • 31 + 81973 = 82004
  • 37 + 81967 = 82004
  • 61 + 81943 = 82004
  • 67 + 81937 = 82004
  • 73 + 81931 = 82004
  • 103 + 81901 = 82004
  • 151 + 81853 = 82004
  • 157 + 81847 = 82004

Showing the first eight; more decompositions exist.

Unicode codepoint
𔁔
Egyptian Hieroglyph-14054
U+14054
Other letter (Lo)

UTF-8 encoding: F0 94 81 94 (4 bytes).

Hex color
#014054
RGB(1, 64, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.64.84.

Address
0.1.64.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.64.84

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

Position in π

The digit sequence 82004 first appears in π at position 123,492 of the decimal expansion (the 123,492ordinal-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.