10,064
10,064 is a composite number, even.
10,064 (ten thousand sixty-four) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 37. Its proper divisors sum to 11,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2750.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 46,001
- Recamán's sequence
- a(4,915) = 10,064
- Square (n²)
- 101,284,096
- Cube (n³)
- 1,019,323,142,144
- Divisor count
- 20
- σ(n) — sum of divisors
- 21,204
- φ(n) — Euler's totient
- 4,608
- Sum of prime factors
- 62
Primality
Prime factorization: 2 4 × 17 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,064 = [100; (3, 7, 1, 2, 3, 1, 11, 1, 3, 2, 1, 7, 3, 200)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand sixty-four
- Ordinal
- 10064th
- Binary
- 10011101010000
- Octal
- 23520
- Hexadecimal
- 0x2750
- Base64
- J1A=
- One's complement
- 55,471 (16-bit)
- Scientific notation
- 1.0064 × 10⁴
- As a duration
- 10,064 s = 2 hours, 47 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιξδʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋣·𝋤
- Chinese
- 一萬零六十四
- Chinese (financial)
- 壹萬零陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,064 = 0
- e — Euler's number (e)
- Digit 10,064 = 7
- φ — Golden ratio (φ)
- Digit 10,064 = 7
- √2 — Pythagoras's (√2)
- Digit 10,064 = 3
- ln 2 — Natural log of 2
- Digit 10,064 = 8
- γ — Euler-Mascheroni (γ)
- Digit 10,064 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10064, here are decompositions:
- 3 + 10061 = 10064
- 97 + 9967 = 10064
- 157 + 9907 = 10064
- 163 + 9901 = 10064
- 181 + 9883 = 10064
- 193 + 9871 = 10064
- 277 + 9787 = 10064
- 283 + 9781 = 10064
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 9D 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.80.
- Address
- 0.0.39.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.39.80
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,064 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +19¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -44¢)
- Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +20¢)
The digit sequence 10064 first appears in π at position 110,648 of the decimal expansion (the 110,648ordinal-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.