4,096
4,096 is a composite number, even.
4,096 (four thousand ninety-six) is an even 4-digit number. It is a composite number with 13 divisors, and factors as 2¹². It is a perfect square (64²), a perfect cube (16³), and a power of two (2¹²). Written other ways, in binary, 1000000000000.
Interestingness
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
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- four thousand ninety-six
- Ordinal
- 4096th
- Binary
- 1000000000000
- Octal
- 10000
- Hexadecimal
- 0x1000
- Base64
- EAA=
- One's complement
- 61,439 (16-bit)
- Scientific notation
- 4.096 × 10³
- As a duration
- 4,096 s = 1 hour, 8 minutes, 16 seconds
As an angle
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
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'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.
UTF-8 encoding: E1 80 80 (3 bytes).
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.
Heard as a frequency, 4,096 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -38¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, exact)
- Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -36¢)
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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.