6,404
6,404 is a composite number, even.
6,404 (six thousand four hundred four) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 1,601. Written other ways, in hexadecimal, 0x1904.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,046
- Recamán's sequence
- a(27,092) = 6,404
- Square (n²)
- 41,011,216
- Cube (n³)
- 262,635,827,264
- Divisor count
- 6
- σ(n) — sum of divisors
- 11,214
- φ(n) — Euler's totient
- 3,200
- Sum of prime factors
- 1,605
Primality
Prime factorization: 2 2 × 1601
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,404 = [80; (40, 160)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- six thousand four hundred four
- Ordinal
- 6404th
- Binary
- 1100100000100
- Octal
- 14404
- Hexadecimal
- 0x1904
- Base64
- GQQ=
- One's complement
- 59,131 (16-bit)
- Scientific notation
- 6.404 × 10³
- As a duration
- 6,404 s = 1 hour, 46 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϛυδʹ
- Mayan (base 20)
- 𝋰·𝋠·𝋤
- Chinese
- 六千四百零四
- Chinese (financial)
- 陸仟肆佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,404 = 8
- e — Euler's number (e)
- Digit 6,404 = 9
- φ — Golden ratio (φ)
- Digit 6,404 = 9
- √2 — Pythagoras's (√2)
- Digit 6,404 = 8
- ln 2 — Natural log of 2
- Digit 6,404 = 4
- γ — Euler-Mascheroni (γ)
- Digit 6,404 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6404, here are decompositions:
- 7 + 6397 = 6404
- 31 + 6373 = 6404
- 37 + 6367 = 6404
- 43 + 6361 = 6404
- 61 + 6343 = 6404
- 67 + 6337 = 6404
- 103 + 6301 = 6404
- 127 + 6277 = 6404
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 A4 84 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.25.4.
- Address
- 0.0.25.4
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.25.4
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,404 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G8 (6271.9 Hz, +36¢)
- Scientific pitch (C4 = 256 Hz): G♯8 (6502 Hz, -26¢)
- Baroque pitch (A4 = 415 Hz): G♯8 (6267.3 Hz, +37¢)
The digit sequence 6404 first appears in π at position 8,600 of the decimal expansion (the 8,600ordinal-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.