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12,084

12,084 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 Evil Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
48,021
Recamán's sequence
a(22,616) = 12,084
Square (n²)
146,023,056
Cube (n³)
1,764,542,608,704
Divisor count
24
σ(n) — sum of divisors
30,240
φ(n) — Euler's totient
3,744
Sum of prime factors
79

Primality

Prime factorization: 2 2 × 3 × 19 × 53

Nearest primes: 12,073 (−11) · 12,097 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 19 · 38 · 53 · 57 · 76 · 106 · 114 · 159 · 212 · 228 · 318 · 636 · 1007 · 2014 · 3021 · 4028 · 6042 (half) · 12084
Aliquot sum (sum of proper divisors): 18,156
Factor pairs (a × b = 12,084)
1 × 12084
2 × 6042
3 × 4028
4 × 3021
6 × 2014
12 × 1007
19 × 636
38 × 318
53 × 228
57 × 212
76 × 159
106 × 114
First multiples
12,084 · 24,168 (double) · 36,252 · 48,336 · 60,420 · 72,504 · 84,588 · 96,672 · 108,756 · 120,840

Sums & aliquot sequence

As consecutive integers: 4,027 + 4,028 + 4,029 1,507 + 1,508 + … + 1,514 627 + 628 + … + 645 492 + 493 + … + 515
Aliquot sequence: 12,084 18,156 27,204 36,300 79,144 80,876 60,664 53,096 46,474 26,966 14,194 7,694 3,850 5,078 2,542 1,490 1,210 — unresolved within range

Representations

In words
twelve thousand eighty-four
Ordinal
12084th
Binary
10111100110100
Octal
27464
Hexadecimal
0x2F34
Base64
LzQ=
One's complement
53,451 (16-bit)
In other bases
ternary (3) 121120120
quaternary (4) 2330310
quinary (5) 341314
senary (6) 131540
septenary (7) 50142
nonary (9) 17516
undecimal (11) 9096
duodecimal (12) 6bb0
tridecimal (13) 5667
tetradecimal (14) 4592
pentadecimal (15) 38a9

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβπδʹ
Mayan (base 20)
𝋡·𝋪·𝋤·𝋤
Chinese
一萬二千零八十四
Chinese (financial)
壹萬貳仟零捌拾肆
In other modern scripts
Eastern Arabic ١٢٠٨٤ Devanagari १२०८४ Bengali ১২০৮৪ Tamil ௧௨௦௮௪ Thai ๑๒๐๘๔ Tibetan ༡༢༠༨༤ Khmer ១២០៨៤ Lao ໑໒໐໘໔ Burmese ၁၂၀၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 12,084 = 5
e — Euler's number (e)
Digit 12,084 = 8
φ — Golden ratio (φ)
Digit 12,084 = 9
√2 — Pythagoras's (√2)
Digit 12,084 = 0
ln 2 — Natural log of 2
Digit 12,084 = 8
γ — Euler-Mascheroni (γ)
Digit 12,084 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12084, here are decompositions:

  • 11 + 12073 = 12084
  • 13 + 12071 = 12084
  • 41 + 12043 = 12084
  • 43 + 12041 = 12084
  • 47 + 12037 = 12084
  • 73 + 12011 = 12084
  • 97 + 11987 = 12084
  • 103 + 11981 = 12084

Showing the first eight; more decompositions exist.

Unicode codepoint
Kangxi Radical Dotted Cliff
U+2F34
Other symbol (So)

UTF-8 encoding: E2 BC B4 (3 bytes).

Hex color
#002F34
RGB(0, 47, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.52.

Address
0.0.47.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.52

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

Position in π

The digit sequence 12084 first appears in π at position 3,713 of the decimal expansion (the 3,713ordinal-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.