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84,004

84,004 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
40,048
Recamán's sequence
a(269,140) = 84,004
Square (n²)
7,056,672,016
Cube (n³)
592,788,676,032,064
Divisor count
6
σ(n) — sum of divisors
147,014
φ(n) — Euler's totient
42,000
Sum of prime factors
21,005

Primality

Prime factorization: 2 2 × 21001

Nearest primes: 83,987 (−17) · 84,011 (+7)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 21001 · 42002 (half) · 84004
Aliquot sum (sum of proper divisors): 63,010
Factor pairs (a × b = 84,004)
1 × 84004
2 × 42002
4 × 21001
First multiples
84,004 · 168,008 (double) · 252,012 · 336,016 · 420,020 · 504,024 · 588,028 · 672,032 · 756,036 · 840,040

Sums & aliquot sequence

As a sum of two squares: 150² + 248²
As consecutive integers: 10,497 + 10,498 + … + 10,504
Aliquot sequence: 84,004 63,010 50,426 29,254 14,630 19,930 15,962 9,094 4,550 5,866 4,214 3,310 2,666 1,558 962 634 320 — unresolved within range

Representations

In words
eighty-four thousand four
Ordinal
84004th
Binary
10100100000100100
Octal
244044
Hexadecimal
0x14824
Base64
AUgk
One's complement
4,294,883,291 (32-bit)
In other bases
ternary (3) 11021020021
quaternary (4) 110200210
quinary (5) 10142004
senary (6) 1444524
septenary (7) 466624
nonary (9) 137207
undecimal (11) 58128
duodecimal (12) 40744
tridecimal (13) 2c30b
tetradecimal (14) 22884
pentadecimal (15) 19d54

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πδδʹ
Mayan (base 20)
𝋪·𝋪·𝋠·𝋤
Chinese
八萬四千零四
Chinese (financial)
捌萬肆仟零肆
In other modern scripts
Eastern Arabic ٨٤٠٠٤ Devanagari ८४००४ Bengali ৮৪০০৪ Tamil ௮௪௦௦௪ Thai ๘๔๐๐๔ Tibetan ༨༤༠༠༤ Khmer ៨៤០០៤ Lao ໘໔໐໐໔ Burmese ၈၄၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 84,004 = 4
e — Euler's number (e)
Digit 84,004 = 5
φ — Golden ratio (φ)
Digit 84,004 = 8
√2 — Pythagoras's (√2)
Digit 84,004 = 6
ln 2 — Natural log of 2
Digit 84,004 = 6
γ — Euler-Mascheroni (γ)
Digit 84,004 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84004, here are decompositions:

  • 17 + 83987 = 84004
  • 71 + 83933 = 84004
  • 83 + 83921 = 84004
  • 101 + 83903 = 84004
  • 113 + 83891 = 84004
  • 131 + 83873 = 84004
  • 191 + 83813 = 84004
  • 227 + 83777 = 84004

Showing the first eight; more decompositions exist.

Hex color
#014824
RGB(1, 72, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.36.

Address
0.1.72.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.36

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

Position in π

The digit sequence 84004 first appears in π at position 34,024 of the decimal expansion (the 34,024ordinal-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.