number.wiki
Live analysis

8,364

8,364 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 Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
4,638
Recamán's sequence
a(25,176) = 8,364
Square (n²)
69,956,496
Cube (n³)
585,116,132,544
Divisor count
24
σ(n) — sum of divisors
21,168
φ(n) — Euler's totient
2,560
Sum of prime factors
65

Primality

Prime factorization: 2 2 × 3 × 17 × 41

Nearest primes: 8,363 (−1) · 8,369 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 41 · 51 · 68 · 82 · 102 · 123 · 164 · 204 · 246 · 492 · 697 · 1394 · 2091 · 2788 · 4182 (half) · 8364
Aliquot sum (sum of proper divisors): 12,804
Factor pairs (a × b = 8,364)
1 × 8364
2 × 4182
3 × 2788
4 × 2091
6 × 1394
12 × 697
17 × 492
34 × 246
41 × 204
51 × 164
68 × 123
82 × 102
First multiples
8,364 · 16,728 (double) · 25,092 · 33,456 · 41,820 · 50,184 · 58,548 · 66,912 · 75,276 · 83,640

Sums & aliquot sequence

As consecutive integers: 2,787 + 2,788 + 2,789 1,042 + 1,043 + … + 1,049 484 + 485 + … + 500 337 + 338 + … + 360
Aliquot sequence: 8,364 12,804 20,124 35,932 31,884 42,540 76,740 138,300 262,716 350,316 562,596 762,588 1,307,172 1,777,084 1,332,820 1,497,644 1,140,460 — unresolved within range

Representations

In words
eight thousand three hundred sixty-four
Ordinal
8364th
Binary
10000010101100
Octal
20254
Hexadecimal
0x20AC
Base64
IKw=
One's complement
57,171 (16-bit)
In other bases
ternary (3) 102110210
quaternary (4) 2002230
quinary (5) 231424
senary (6) 102420
septenary (7) 33246
nonary (9) 12423
undecimal (11) 6314
duodecimal (12) 4a10
tridecimal (13) 3a65
tetradecimal (14) 3096
pentadecimal (15) 2729

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ητξδʹ
Mayan (base 20)
𝋡·𝋠·𝋲·𝋤
Chinese
八千三百六十四
Chinese (financial)
捌仟參佰陸拾肆
In other modern scripts
Eastern Arabic ٨٣٦٤ Devanagari ८३६४ Bengali ৮৩৬৪ Tamil ௮௩௬௪ Thai ๘๓๖๔ Tibetan ༨༣༦༤ Khmer ៨៣៦៤ Lao ໘໓໖໔ Burmese ၈၃၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,364 = 3
e — Euler's number (e)
Digit 8,364 = 1
φ — Golden ratio (φ)
Digit 8,364 = 5
√2 — Pythagoras's (√2)
Digit 8,364 = 8
ln 2 — Natural log of 2
Digit 8,364 = 9
γ — Euler-Mascheroni (γ)
Digit 8,364 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8364, here are decompositions:

  • 11 + 8353 = 8364
  • 47 + 8317 = 8364
  • 53 + 8311 = 8364
  • 67 + 8297 = 8364
  • 71 + 8293 = 8364
  • 73 + 8291 = 8364
  • 101 + 8263 = 8364
  • 127 + 8237 = 8364

Showing the first eight; more decompositions exist.

Unicode codepoint
Euro Sign
U+20AC
Currency symbol (Sc)

UTF-8 encoding: E2 82 AC (3 bytes).

Hex color
#0020AC
RGB(0, 32, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.172.

Address
0.0.32.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.172

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

Position in π

The digit sequence 8364 first appears in π at position 11,257 of the decimal expansion (the 11,257ordinal-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.