13,664
13,664 is a composite number, even.
13,664 (thirteen thousand six hundred sixty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 61. Its proper divisors sum to 17,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3560.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 20
- Digit product
- 432
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 46,631
- Recamán's sequence
- a(4,100) = 13,664
- Square (n²)
- 186,704,896
- Cube (n³)
- 2,551,135,698,944
- Divisor count
- 24
- σ(n) — sum of divisors
- 31,248
- φ(n) — Euler's totient
- 5,760
- Sum of prime factors
- 78
Primality
Prime factorization: 2 5 × 7 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,664 = [116; (1, 8, 2, 1, 4, 3, 2, 1, 1, 1, 1, 2, 1, 57, 1, 2, 1, 1, 1, 1, 2, 3, 4, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand six hundred sixty-four
- Ordinal
- 13664th
- Binary
- 11010101100000
- Octal
- 32540
- Hexadecimal
- 0x3560
- Base64
- NWA=
- One's complement
- 51,871 (16-bit)
- Scientific notation
- 1.3664 × 10⁴
- As a duration
- 13,664 s = 3 hours, 47 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγχξδʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋣·𝋤
- Chinese
- 一萬三千六百六十四
- Chinese (financial)
- 壹萬參仟陸佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,664 = 0
- e — Euler's number (e)
- Digit 13,664 = 6
- φ — Golden ratio (φ)
- Digit 13,664 = 7
- √2 — Pythagoras's (√2)
- Digit 13,664 = 3
- ln 2 — Natural log of 2
- Digit 13,664 = 6
- γ — Euler-Mascheroni (γ)
- Digit 13,664 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13664, here are decompositions:
- 31 + 13633 = 13664
- 37 + 13627 = 13664
- 67 + 13597 = 13664
- 73 + 13591 = 13664
- 97 + 13567 = 13664
- 127 + 13537 = 13664
- 151 + 13513 = 13664
- 223 + 13441 = 13664
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 95 A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.96.
- Address
- 0.0.53.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.96
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,664 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +48¢ — about midway to A9)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -14¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +49¢ — about midway to A♯9)
The digit sequence 13664 first appears in π at position 24,716 of the decimal expansion (the 24,716ordinal-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.