8,424
8,424 is a composite number, even.
8,424 (eight thousand four hundred twenty-four) is an even 4-digit number. It is a composite number with 40 divisors, and factors as 2³ × 3⁴ × 13. Its proper divisors sum to 16,986, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20E8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 18
- Digit product
- 256
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,248
- Recamán's sequence
- a(2,883) = 8,424
- Square (n²)
- 70,963,776
- Cube (n³)
- 597,798,849,024
- Divisor count
- 40
- σ(n) — sum of divisors
- 25,410
- φ(n) — Euler's totient
- 2,592
- Sum of prime factors
- 31
Primality
Prime factorization: 2 3 × 3 4 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,424 = [91; (1, 3, 1, 1, 2, 6, 1, 19, 1, 1, 7, 2, 7, 1, 1, 19, 1, 6, 2, 1, 1, 3, 1, 182)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand four hundred twenty-four
- Ordinal
- 8424th
- Binary
- 10000011101000
- Octal
- 20350
- Hexadecimal
- 0x20E8
- Base64
- IOg=
- One's complement
- 57,111 (16-bit)
- Scientific notation
- 8.424 × 10³
- As a duration
- 8,424 s = 2 hours, 20 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ηυκδʹ
- Mayan (base 20)
- 𝋡·𝋡·𝋡·𝋤
- Chinese
- 八千四百二十四
- Chinese (financial)
- 捌仟肆佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,424 = 2
- e — Euler's number (e)
- Digit 8,424 = 5
- φ — Golden ratio (φ)
- Digit 8,424 = 8
- √2 — Pythagoras's (√2)
- Digit 8,424 = 8
- ln 2 — Natural log of 2
- Digit 8,424 = 0
- γ — Euler-Mascheroni (γ)
- Digit 8,424 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8424, here are decompositions:
- 5 + 8419 = 8424
- 37 + 8387 = 8424
- 47 + 8377 = 8424
- 61 + 8363 = 8424
- 71 + 8353 = 8424
- 107 + 8317 = 8424
- 113 + 8311 = 8424
- 127 + 8297 = 8424
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 83 A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.232.
- Address
- 0.0.32.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.32.232
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,424 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +11¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +48¢ — about midway to C♯9)
- Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +12¢)
The digit sequence 8424 first appears in π at position 3,863 of the decimal expansion (the 3,863ordinal-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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.