10,304
10,304 is a composite number, even.
10,304 (ten thousand three hundred four) is an even 5-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 23. Its proper divisors sum to 14,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2840.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 40,301
- Recamán's sequence
- a(5,867) = 10,304
- Square (n²)
- 106,172,416
- Cube (n³)
- 1,094,000,574,464
- Divisor count
- 28
- σ(n) — sum of divisors
- 24,384
- φ(n) — Euler's totient
- 4,224
- Sum of prime factors
- 42
Primality
Prime factorization: 2 6 × 7 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,304 = [101; (1, 1, 28, 1, 1, 202)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand three hundred four
- Ordinal
- 10304th
- Binary
- 10100001000000
- Octal
- 24100
- Hexadecimal
- 0x2840
- Base64
- KEA=
- One's complement
- 55,231 (16-bit)
- Scientific notation
- 1.0304 × 10⁴
- As a duration
- 10,304 s = 2 hours, 51 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιτδʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋯·𝋤
- Chinese
- 一萬零三百零四
- Chinese (financial)
- 壹萬零參佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,304 = 8
- e — Euler's number (e)
- Digit 10,304 = 0
- φ — Golden ratio (φ)
- Digit 10,304 = 1
- √2 — Pythagoras's (√2)
- Digit 10,304 = 1
- ln 2 — Natural log of 2
- Digit 10,304 = 6
- γ — Euler-Mascheroni (γ)
- Digit 10,304 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10304, here are decompositions:
- 3 + 10301 = 10304
- 31 + 10273 = 10304
- 37 + 10267 = 10304
- 61 + 10243 = 10304
- 127 + 10177 = 10304
- 163 + 10141 = 10304
- 193 + 10111 = 10304
- 211 + 10093 = 10304
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 A1 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.64.
- Address
- 0.0.40.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.40.64
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,304 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -41¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -3¢)
- Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -39¢)
The digit sequence 10304 first appears in π at position 20,818 of the decimal expansion (the 20,818ordinal-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.