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4,096

4,096 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 Happy Number Odious Number Perfect Cube Perfect Square Power of Two Powerful Number Practical Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
6,904
Recamán's sequence
a(14,199) = 4,096
Square (n²)
16,777,216
Cube (n³)
68,719,476,736
Square root (√n)
64
Cube root (∛n)
16
Divisor count
13
σ(n) — sum of divisors
8,191
φ(n) — Euler's totient
2,048
Sum of prime factors
24

Primality

Prime factorization: 2 12

Nearest primes: 4,093 (−3) · 4,099 (+3)

Divisors & multiples

All divisors (13)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 512 · 1024 · 2048 (half) · 4096
Aliquot sum (sum of proper divisors): 4,095
Factor pairs (a × b = 4,096)
1 × 4096
2 × 2048
4 × 1024
8 × 512
16 × 256
32 × 128
64 × 64
First multiples
4,096 · 8,192 (double) · 12,288 · 16,384 · 20,480 · 24,576 · 28,672 · 32,768 · 36,864 · 40,960

Sums & aliquot sequence

As a sum of two squares: 0² + 64²
Aliquot sequence: 4,096 4,095 4,641 3,423 1,825 469 75 49 8 7 1 0 — terminates at zero

Representations

In words
four thousand ninety-six
Ordinal
4096th
Binary
1000000000000
Octal
10000
Hexadecimal
0x1000
Base64
EAA=
One's complement
61,439 (16-bit)
In other bases
ternary (3) 12121201
quaternary (4) 1000000
quinary (5) 112341
senary (6) 30544
septenary (7) 14641
nonary (9) 5551
undecimal (11) 3094
duodecimal (12) 2454
tridecimal (13) 1b31
tetradecimal (14) 16c8
pentadecimal (15) 1331

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δϟϛʹ
Mayan (base 20)
𝋪·𝋤·𝋰
Chinese
四千零九十六
Chinese (financial)
肆仟零玖拾陸
In other modern scripts
Eastern Arabic ٤٠٩٦ Devanagari ४०९६ Bengali ৪০৯৬ Tamil ௪௦௯௬ Thai ๔๐๙๖ Tibetan ༤༠༩༦ Khmer ៤០៩៦ Lao ໔໐໙໖ Burmese ၄၀၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 4,096 = 7
e — Euler's number (e)
Digit 4,096 = 8
φ — Golden ratio (φ)
Digit 4,096 = 4
√2 — Pythagoras's (√2)
Digit 4,096 = 9
ln 2 — Natural log of 2
Digit 4,096 = 4
γ — Euler-Mascheroni (γ)
Digit 4,096 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4096, here are decompositions:

  • 3 + 4093 = 4096
  • 5 + 4091 = 4096
  • 17 + 4079 = 4096
  • 23 + 4073 = 4096
  • 47 + 4049 = 4096
  • 83 + 4013 = 4096
  • 89 + 4007 = 4096
  • 107 + 3989 = 4096

Showing the first eight; more decompositions exist.

Unicode codepoint
က
Myanmar Letter Ka
U+1000
Other letter (Lo)

UTF-8 encoding: E1 80 80 (3 bytes).

Hex color
#001000
RGB(0, 16, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.0.

Address
0.0.16.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.0

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

Position in π

The digit sequence 4096 first appears in π at position 27,372 of the decimal expansion (the 27,372ordinal-suffix:nd 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.