513,304
513,304 is a composite number, even.
513,304 (five hundred thirteen thousand three hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 19 × 307. Its proper divisors sum to 595,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D518.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 403,315
- Square (n²)
- 263,480,996,416
- Cube (n³)
- 135,245,849,384,318,464
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,108,800
- φ(n) — Euler's totient
- 220,320
- Sum of prime factors
- 343
Primality
Prime factorization: 2 3 × 11 × 19 × 307
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,304 = [716; (2, 4, 1, 2, 1, 56, 1, 1, 2, 1, 2, 2, 1, 7, 2, 1, 1, 4, 1, 1, 1, 7, 1, 7, …)]
Representations
- In words
- five hundred thirteen thousand three hundred four
- Ordinal
- 513304th
- Binary
- 1111101010100011000
- Octal
- 1752430
- Hexadecimal
- 0x7D518
- Base64
- B9UY
- One's complement
- 4,294,453,991 (32-bit)
- Scientific notation
- 5.13304 × 10⁵
- As a duration
- 513,304 s = 5 days, 22 hours, 35 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγτδʹ
- Chinese
- 五十一萬三千三百零四
- Chinese (financial)
- 伍拾壹萬參仟參佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513304, here are decompositions:
- 47 + 513257 = 513304
- 101 + 513203 = 513304
- 131 + 513173 = 513304
- 137 + 513167 = 513304
- 167 + 513137 = 513304
- 173 + 513131 = 513304
- 251 + 513053 = 513304
- 257 + 513047 = 513304
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.24.
- Address
- 0.7.213.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.24
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 513,304 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.