513,642
513,642 is a composite number, even.
513,642 (five hundred thirteen thousand six hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 85,607. Its proper divisors sum to 513,654, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D66A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 720
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 246,315
- Square (n²)
- 263,828,104,164
- Cube (n³)
- 135,513,195,079,005,288
- Divisor count
- 8
- σ(n) — sum of divisors
- 1,027,296
- φ(n) — Euler's totient
- 171,212
- Sum of prime factors
- 85,612
Primality
Prime factorization: 2 × 3 × 85607
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,642 = [716; (1, 2, 4, 1, 4, 1, 1, 1, 3, 6, 2, 2, 1, 3, 1, 1, 5, 2, 3, 1, 1, 6, 1, 6, …)]
Representations
- In words
- five hundred thirteen thousand six hundred forty-two
- Ordinal
- 513642nd
- Binary
- 1111101011001101010
- Octal
- 1753152
- Hexadecimal
- 0x7D66A
- Base64
- B9Zq
- One's complement
- 4,294,453,653 (32-bit)
- Scientific notation
- 5.13642 × 10⁵
- As a duration
- 513,642 s = 5 days, 22 hours, 40 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵φιγχμβʹ
- Chinese
- 五十一萬三千六百四十二
- Chinese (financial)
- 伍拾壹萬參仟陸佰肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513642, here are decompositions:
- 11 + 513631 = 513642
- 109 + 513533 = 513642
- 113 + 513529 = 513642
- 131 + 513511 = 513642
- 163 + 513479 = 513642
- 211 + 513431 = 513642
- 223 + 513419 = 513642
- 271 + 513371 = 513642
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.214.106.
- Address
- 0.7.214.106
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.214.106
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 513,642 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 513642 first appears in π at position 315,706 of the decimal expansion (the 315,706ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.