8,408
8,408 is a composite number, even.
8,408 (eight thousand four hundred eight) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 1,051. Written other ways, in hexadecimal, 0x20D8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 8,048
- Recamán's sequence
- a(2,915) = 8,408
- Square (n²)
- 70,694,464
- Cube (n³)
- 594,399,053,312
- Divisor count
- 8
- σ(n) — sum of divisors
- 15,780
- φ(n) — Euler's totient
- 4,200
- Sum of prime factors
- 1,057
Primality
Prime factorization: 2 3 × 1051
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,408 = [91; (1, 2, 3, 1, 1, 3, 5, 1, 1, 1, 2, 1, 7, 4, 25, 1, 21, 1, 25, 4, 7, 1, 2, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand four hundred eight
- Ordinal
- 8408th
- Binary
- 10000011011000
- Octal
- 20330
- Hexadecimal
- 0x20D8
- Base64
- INg=
- One's complement
- 57,127 (16-bit)
- Scientific notation
- 8.408 × 10³
- As a duration
- 8,408 s = 2 hours, 20 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ηυηʹ
- Mayan (base 20)
- 𝋡·𝋡·𝋠·𝋨
- Chinese
- 八千四百零八
- Chinese (financial)
- 捌仟肆佰零捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,408 = 5
- e — Euler's number (e)
- Digit 8,408 = 9
- φ — Golden ratio (φ)
- Digit 8,408 = 6
- √2 — Pythagoras's (√2)
- Digit 8,408 = 0
- ln 2 — Natural log of 2
- Digit 8,408 = 4
- γ — Euler-Mascheroni (γ)
- Digit 8,408 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8408, here are decompositions:
- 19 + 8389 = 8408
- 31 + 8377 = 8408
- 79 + 8329 = 8408
- 97 + 8311 = 8408
- 139 + 8269 = 8408
- 199 + 8209 = 8408
- 229 + 8179 = 8408
- 241 + 8167 = 8408
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 83 98 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.216.
- Address
- 0.0.32.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.32.216
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,408 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +7¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +45¢ — about midway to C♯9)
- Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +9¢)
The digit sequence 8408 first appears in π at position 33,246 of the decimal expansion (the 33,246ordinal-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.