7,664
7,664 is a composite number, even.
7,664 (seven thousand six hundred sixty-four) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 479. Written other ways, in hexadecimal, 0x1DF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 23
- Digit product
- 1,008
- Digital root
- 5
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,667
- Recamán's sequence
- a(2,351) = 7,664
- Square (n²)
- 58,736,896
- Cube (n³)
- 450,159,570,944
- Divisor count
- 10
- σ(n) — sum of divisors
- 14,880
- φ(n) — Euler's totient
- 3,824
- Sum of prime factors
- 487
Primality
Prime factorization: 2 4 × 479
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√7,664 = [87; (1, 1, 5, 6, 1, 4, 1, 1, 1, 1, 3, 8, 2, 10, 2, 8, 3, 1, 1, 1, 1, 4, 1, 6, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- seven thousand six hundred sixty-four
- Ordinal
- 7664th
- Binary
- 1110111110000
- Octal
- 16760
- Hexadecimal
- 0x1DF0
- Base64
- HfA=
- One's complement
- 57,871 (16-bit)
- Scientific notation
- 7.664 × 10³
- As a duration
- 7,664 s = 2 hours, 7 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ζχξδʹ
- Mayan (base 20)
- 𝋳·𝋣·𝋤
- Chinese
- 七千六百六十四
- Chinese (financial)
- 柒仟陸佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 7,664 = 3
- e — Euler's number (e)
- Digit 7,664 = 6
- φ — Golden ratio (φ)
- Digit 7,664 = 3
- √2 — Pythagoras's (√2)
- Digit 7,664 = 9
- ln 2 — Natural log of 2
- Digit 7,664 = 2
- γ — Euler-Mascheroni (γ)
- Digit 7,664 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7664, here are decompositions:
- 43 + 7621 = 7664
- 61 + 7603 = 7664
- 73 + 7591 = 7664
- 103 + 7561 = 7664
- 127 + 7537 = 7664
- 157 + 7507 = 7664
- 271 + 7393 = 7664
- 313 + 7351 = 7664
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 B7 B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.29.240.
- Address
- 0.0.29.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.29.240
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 7,664 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A♯8 (7458.6 Hz, +47¢ — about midway to B8)
- Scientific pitch (C4 = 256 Hz): B8 (7732.2 Hz, -15¢)
- Baroque pitch (A4 = 415 Hz): B8 (7453.1 Hz, +48¢ — about midway to C9)
The digit sequence 7664 first appears in π at position 7,557 of the decimal expansion (the 7,557ordinal-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.