513,084
513,084 is a composite number, even.
513,084 (five hundred thirteen thousand eighty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 11 × 13² × 23. Its proper divisors sum to 962,628, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D43C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 480,315
- Square (n²)
- 263,255,191,056
- Cube (n³)
- 135,072,026,447,776,704
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,475,712
- φ(n) — Euler's totient
- 137,280
- Sum of prime factors
- 67
Primality
Prime factorization: 2 2 × 3 × 11 × 13 2 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,084 = [716; (3, 2, 1, 7, 1, 3, 2, 13, 1, 7, 1, 1, 4, 1, 11, 8, 2, 1, 1, 4, 1, 1, 2, 8, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand eighty-four
- Ordinal
- 513084th
- Binary
- 1111101010000111100
- Octal
- 1752074
- Hexadecimal
- 0x7D43C
- Base64
- B9Q8
- One's complement
- 4,294,454,211 (32-bit)
- Scientific notation
- 5.13084 × 10⁵
- As a duration
- 513,084 s = 5 days, 22 hours, 31 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγπδʹ
- Chinese
- 五十一萬三千零八十四
- Chinese (financial)
- 伍拾壹萬參仟零捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513084, here are decompositions:
- 17 + 513067 = 513084
- 31 + 513053 = 513084
- 37 + 513047 = 513084
- 43 + 513041 = 513084
- 53 + 513031 = 513084
- 67 + 513017 = 513084
- 71 + 513013 = 513084
- 83 + 513001 = 513084
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.60.
- Address
- 0.7.212.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.212.60
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 513,084 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°.