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8,192

8,192 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 Power of Two Powerful Number Practical Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
144
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
2,918
Recamán's sequence
a(10,383) = 8,192
Square (n²)
67,108,864
Cube (n³)
549,755,813,888
Divisor count
14
σ(n) — sum of divisors
16,383
φ(n) — Euler's totient
4,096
Sum of prime factors
26

Primality

Prime factorization: 2 13

Nearest primes: 8,191 (−1) · 8,209 (+17)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 512 · 1024 · 2048 · 4096 (half) · 8192
Aliquot sum (sum of proper divisors): 8,191
Factor pairs (a × b = 8,192)
1 × 8192
2 × 4096
4 × 2048
8 × 1024
16 × 512
32 × 256
64 × 128
First multiples
8,192 · 16,384 (double) · 24,576 · 32,768 · 40,960 · 49,152 · 57,344 · 65,536 · 73,728 · 81,920

Sums & aliquot sequence

As a sum of two squares: 64² + 64²
Aliquot sequence: 8,192 8,191 1 0 — terminates at zero

Representations

In words
eight thousand one hundred ninety-two
Ordinal
8192nd
Binary
10000000000000
Octal
20000
Hexadecimal
0x2000
Base64
IAA=
One's complement
57,343 (16-bit)
In other bases
ternary (3) 102020102
quaternary (4) 2000000
quinary (5) 230232
senary (6) 101532
septenary (7) 32612
nonary (9) 12212
undecimal (11) 6178
duodecimal (12) 48a8
tridecimal (13) 3962
tetradecimal (14) 2db2
pentadecimal (15) 2662

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ηρϟβʹ
Mayan (base 20)
𝋡·𝋠·𝋩·𝋬
Chinese
八千一百九十二
Chinese (financial)
捌仟壹佰玖拾貳
In other modern scripts
Eastern Arabic ٨١٩٢ Devanagari ८१९२ Bengali ৮১৯২ Tamil ௮௧௯௨ Thai ๘๑๙๒ Tibetan ༨༡༩༢ Khmer ៨១៩២ Lao ໘໑໙໒ Burmese ၈၁၉၂

Digit at this position in famous constants

π — Pi (π)
Digit 8,192 = 3
e — Euler's number (e)
Digit 8,192 = 7
φ — Golden ratio (φ)
Digit 8,192 = 5
√2 — Pythagoras's (√2)
Digit 8,192 = 0
ln 2 — Natural log of 2
Digit 8,192 = 0
γ — Euler-Mascheroni (γ)
Digit 8,192 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8192, here are decompositions:

  • 13 + 8179 = 8192
  • 31 + 8161 = 8192
  • 103 + 8089 = 8192
  • 139 + 8053 = 8192
  • 181 + 8011 = 8192
  • 199 + 7993 = 8192
  • 229 + 7963 = 8192
  • 241 + 7951 = 8192

Showing the first eight; more decompositions exist.

Unicode codepoint
 
En Quad
U+2000
Space separator (Zs)

UTF-8 encoding: E2 80 80 (3 bytes).

Hex color
#002000
RGB(0, 32, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.0.

Address
0.0.32.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.0

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

Position in π

The digit sequence 8192 first appears in π at position 2,943 of the decimal expansion (the 2,943ordinal-suffix:rd 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.