8,144
8,144 is a composite number, even.
8,144 (eight thousand one hundred forty-four) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 509. Written other ways, in hexadecimal, 0x1FD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 17
- Digit product
- 128
- Digital root
- 8
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,418
- Recamán's sequence
- a(10,479) = 8,144
- Square (n²)
- 66,324,736
- Cube (n³)
- 540,148,649,984
- Divisor count
- 10
- σ(n) — sum of divisors
- 15,810
- φ(n) — Euler's totient
- 4,064
- Sum of prime factors
- 517
Primality
Prime factorization: 2 4 × 509
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,144 = [90; (4, 10, 2, 1, 2, 1, 1, 1, 1, 8, 2, 2, 2, 1, 7, 7, 11, 7, 7, 1, 2, 2, 2, 8, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand one hundred forty-four
- Ordinal
- 8144th
- Binary
- 1111111010000
- Octal
- 17720
- Hexadecimal
- 0x1FD0
- Base64
- H9A=
- One's complement
- 57,391 (16-bit)
- Scientific notation
- 8.144 × 10³
- As a duration
- 8,144 s = 2 hours, 15 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ηρμδʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋧·𝋤
- Chinese
- 八千一百四十四
- Chinese (financial)
- 捌仟壹佰肆拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,144 = 1
- e — Euler's number (e)
- Digit 8,144 = 1
- φ — Golden ratio (φ)
- Digit 8,144 = 4
- √2 — Pythagoras's (√2)
- Digit 8,144 = 6
- ln 2 — Natural log of 2
- Digit 8,144 = 9
- γ — Euler-Mascheroni (γ)
- Digit 8,144 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8144, here are decompositions:
- 43 + 8101 = 8144
- 127 + 8017 = 8144
- 151 + 7993 = 8144
- 181 + 7963 = 8144
- 193 + 7951 = 8144
- 211 + 7933 = 8144
- 271 + 7873 = 8144
- 277 + 7867 = 8144
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 BF 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.208.
- Address
- 0.0.31.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.31.208
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,144 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -48¢ — about midway to B8)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -10¢)
- Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -47¢ — about midway to C9)
The digit sequence 8144 first appears in π at position 16,427 of the decimal expansion (the 16,427ordinal-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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.