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12,864

12,864 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 Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
384
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
46,821
Recamán's sequence
a(48,547) = 12,864
Square (n²)
165,482,496
Cube (n³)
2,128,766,828,544
Divisor count
28
σ(n) — sum of divisors
34,544
φ(n) — Euler's totient
4,224
Sum of prime factors
82

Primality

Prime factorization: 2 6 × 3 × 67

Nearest primes: 12,853 (−11) · 12,889 (+25)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 67 · 96 · 134 · 192 · 201 · 268 · 402 · 536 · 804 · 1072 · 1608 · 2144 · 3216 · 4288 · 6432 (half) · 12864
Aliquot sum (sum of proper divisors): 21,680
Factor pairs (a × b = 12,864)
1 × 12864
2 × 6432
3 × 4288
4 × 3216
6 × 2144
8 × 1608
12 × 1072
16 × 804
24 × 536
32 × 402
48 × 268
64 × 201
67 × 192
96 × 134
First multiples
12,864 · 25,728 (double) · 38,592 · 51,456 · 64,320 · 77,184 · 90,048 · 102,912 · 115,776 · 128,640

Sums & aliquot sequence

As consecutive integers: 4,287 + 4,288 + 4,289 159 + 160 + … + 225 37 + 38 + … + 164
Aliquot sequence: 12,864 21,680 28,912 31,848 47,832 71,808 148,512 359,520 946,848 1,895,712 4,539,360 12,180,336 23,781,648 44,267,568 76,111,632 139,130,668 104,348,008 — unresolved within range

Representations

In words
twelve thousand eight hundred sixty-four
Ordinal
12864th
Binary
11001001000000
Octal
31100
Hexadecimal
0x3240
Base64
MkA=
One's complement
52,671 (16-bit)
In other bases
ternary (3) 122122110
quaternary (4) 3021000
quinary (5) 402424
senary (6) 135320
septenary (7) 52335
nonary (9) 18573
undecimal (11) 9735
duodecimal (12) 7540
tridecimal (13) 5b17
tetradecimal (14) 498c
pentadecimal (15) 3c29

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβωξδʹ
Mayan (base 20)
𝋡·𝋬·𝋣·𝋤
Chinese
一萬二千八百六十四
Chinese (financial)
壹萬貳仟捌佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٨٦٤ Devanagari १२८६४ Bengali ১২৮৬৪ Tamil ௧௨௮௬௪ Thai ๑๒๘๖๔ Tibetan ༡༢༨༦༤ Khmer ១២៨៦៤ Lao ໑໒໘໖໔ Burmese ၁၂၈၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 12,864 = 2
e — Euler's number (e)
Digit 12,864 = 0
φ — Golden ratio (φ)
Digit 12,864 = 0
√2 — Pythagoras's (√2)
Digit 12,864 = 7
ln 2 — Natural log of 2
Digit 12,864 = 0
γ — Euler-Mascheroni (γ)
Digit 12,864 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12864, here are decompositions:

  • 11 + 12853 = 12864
  • 23 + 12841 = 12864
  • 41 + 12823 = 12864
  • 43 + 12821 = 12864
  • 73 + 12791 = 12864
  • 83 + 12781 = 12864
  • 101 + 12763 = 12864
  • 107 + 12757 = 12864

Showing the first eight; more decompositions exist.

Unicode codepoint
Parenthesized Ideograph Festival
U+3240
Other symbol (So)

UTF-8 encoding: E3 89 80 (3 bytes).

Hex color
#003240
RGB(0, 50, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.64.

Address
0.0.50.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.64

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

Position in π

The digit sequence 12864 first appears in π at position 33,513 of the decimal expansion (the 33,513ordinal-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.