4,664
4,664 is a composite number, even.
4,664 (four thousand six hundred sixty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 53. Its proper divisors sum to 5,056, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x1238.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 20
- Digit product
- 576
- Digital root
- 2
- Palindrome
- Yes
- Bit width
- 13 bits
- Recamán's sequence
- a(5,412) = 4,664
- Square (n²)
- 21,752,896
- Cube (n³)
- 101,455,506,944
- Divisor count
- 16
- σ(n) — sum of divisors
- 9,720
- φ(n) — Euler's totient
- 2,080
- Sum of prime factors
- 70
Primality
Prime factorization: 2 3 × 11 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,664 = [68; (3, 2, 2, 5, 19, 3, 19, 5, 2, 2, 3, 136)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- four thousand six hundred sixty-four
- Ordinal
- 4664th
- Binary
- 1001000111000
- Octal
- 11070
- Hexadecimal
- 0x1238
- Base64
- Ejg=
- One's complement
- 60,871 (16-bit)
- Scientific notation
- 4.664 × 10³
- As a duration
- 4,664 s = 1 hour, 17 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δχξδʹ
- Mayan (base 20)
- 𝋫·𝋭·𝋤
- Chinese
- 四千六百六十四
- Chinese (financial)
- 肆仟陸佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,664 = 7
- e — Euler's number (e)
- Digit 4,664 = 9
- φ — Golden ratio (φ)
- Digit 4,664 = 4
- √2 — Pythagoras's (√2)
- Digit 4,664 = 3
- ln 2 — Natural log of 2
- Digit 4,664 = 1
- γ — Euler-Mascheroni (γ)
- Digit 4,664 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4664, here are decompositions:
- 7 + 4657 = 4664
- 13 + 4651 = 4664
- 43 + 4621 = 4664
- 61 + 4603 = 4664
- 67 + 4597 = 4664
- 73 + 4591 = 4664
- 97 + 4567 = 4664
- 103 + 4561 = 4664
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 88 B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.56.
- Address
- 0.0.18.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.18.56
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,664 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, -13¢)
- Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, +25¢)
- Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, -12¢)
The digit sequence 4664 first appears in π at position 4,278 of the decimal expansion (the 4,278ordinal-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.