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8,404

8,404 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.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
4,048
Recamán's sequence
a(2,923) = 8,404
Square (n²)
70,627,216
Cube (n³)
593,551,123,264
Divisor count
12
σ(n) — sum of divisors
16,128
φ(n) — Euler's totient
3,800
Sum of prime factors
206

Primality

Prime factorization: 2 2 × 11 × 191

Nearest primes: 8,389 (−15) · 8,419 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 44 · 191 · 382 · 764 · 2101 · 4202 (half) · 8404
Aliquot sum (sum of proper divisors): 7,724
Factor pairs (a × b = 8,404)
1 × 8404
2 × 4202
4 × 2101
11 × 764
22 × 382
44 × 191
First multiples
8,404 · 16,808 (double) · 25,212 · 33,616 · 42,020 · 50,424 · 58,828 · 67,232 · 75,636 · 84,040

Sums & aliquot sequence

As consecutive integers: 1,047 + 1,048 + … + 1,054 759 + 760 + … + 769 52 + 53 + … + 139
Aliquot sequence: 8,404 7,724 5,800 8,150 7,102 3,914 2,326 1,166 778 392 463 1 0 — terminates at zero

Representations

In words
eight thousand four hundred four
Ordinal
8404th
Binary
10000011010100
Octal
20324
Hexadecimal
0x20D4
Base64
INQ=
One's complement
57,131 (16-bit)
In other bases
ternary (3) 102112021
quaternary (4) 2003110
quinary (5) 232104
senary (6) 102524
septenary (7) 33334
nonary (9) 12467
undecimal (11) 6350
duodecimal (12) 4a44
tridecimal (13) 3a96
tetradecimal (14) 30c4
pentadecimal (15) 2754

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηυδʹ
Mayan (base 20)
𝋡·𝋡·𝋠·𝋤
Chinese
八千四百零四
Chinese (financial)
捌仟肆佰零肆
In other modern scripts
Eastern Arabic ٨٤٠٤ Devanagari ८४०४ Bengali ৮৪০৪ Tamil ௮௪௦௪ Thai ๘๔๐๔ Tibetan ༨༤༠༤ Khmer ៨៤០៤ Lao ໘໔໐໔ Burmese ၈၄၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,404 = 4
e — Euler's number (e)
Digit 8,404 = 4
φ — Golden ratio (φ)
Digit 8,404 = 5
√2 — Pythagoras's (√2)
Digit 8,404 = 3
ln 2 — Natural log of 2
Digit 8,404 = 4
γ — Euler-Mascheroni (γ)
Digit 8,404 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8404, here are decompositions:

  • 17 + 8387 = 8404
  • 41 + 8363 = 8404
  • 107 + 8297 = 8404
  • 113 + 8291 = 8404
  • 131 + 8273 = 8404
  • 167 + 8237 = 8404
  • 173 + 8231 = 8404
  • 233 + 8171 = 8404

Showing the first eight; more decompositions exist.

Unicode codepoint
Combining Anticlockwise Arrow Above
U+20D4
Non-spacing mark (Mn)

UTF-8 encoding: E2 83 94 (3 bytes).

Hex color
#0020D4
RGB(0, 32, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.212.

Address
0.0.32.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.212

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

Position in π

The digit sequence 8404 first appears in π at position 5,713 of the decimal expansion (the 5,713ordinal-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.