513,312
513,312 is a composite number, even.
513,312 (five hundred thirteen thousand three hundred twelve) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 5,347. Its proper divisors sum to 834,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D520.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 90
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 213,315
- Square (n²)
- 263,489,209,344
- Cube (n³)
- 135,252,173,026,787,328
- Divisor count
- 24
- σ(n) — sum of divisors
- 1,347,696
- φ(n) — Euler's totient
- 171,072
- Sum of prime factors
- 5,360
Primality
Prime factorization: 2 5 × 3 × 5347
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,312 = [716; (2, 5, 2, 4, 8, 2, 1, 4, 4, 2, 1, 1, 5, 1, 4, 6, 1, 11, 1, 13, 1, 5, 1, 2, …)]
Representations
- In words
- five hundred thirteen thousand three hundred twelve
- Ordinal
- 513312th
- Binary
- 1111101010100100000
- Octal
- 1752440
- Hexadecimal
- 0x7D520
- Base64
- B9Ug
- One's complement
- 4,294,453,983 (32-bit)
- Scientific notation
- 5.13312 × 10⁵
- As a duration
- 513,312 s = 5 days, 22 hours, 35 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵φιγτιβʹ
- Chinese
- 五十一萬三千三百一十二
- Chinese (financial)
- 伍拾壹萬參仟參佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513312, here are decompositions:
- 5 + 513307 = 513312
- 29 + 513283 = 513312
- 43 + 513269 = 513312
- 73 + 513239 = 513312
- 109 + 513203 = 513312
- 139 + 513173 = 513312
- 181 + 513131 = 513312
- 211 + 513101 = 513312
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.32.
- Address
- 0.7.213.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.32
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 513,312 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 513312 first appears in π at position 650,031 of the decimal expansion (the 650,031ordinal-suffix:st 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.