513,342
513,342 is a composite number, even.
513,342 (five hundred thirteen thousand three hundred forty-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2 × 3² × 19² × 79. Its proper divisors sum to 675,378, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D53E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 360
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 243,315
- Square (n²)
- 263,520,008,964
- Cube (n³)
- 135,275,888,441,597,688
- Divisor count
- 36
- σ(n) — sum of divisors
- 1,188,720
- φ(n) — Euler's totient
- 160,056
- Sum of prime factors
- 125
Primality
Prime factorization: 2 × 3 2 × 19 2 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,342 = [716; (2, 11, 2, 1, 11, 14, 2, 1, 1, 2, 1, 13, 1, 3, 26, 1, 3, 1, 1, 1, 1, 158, 1, 1, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand three hundred forty-two
- Ordinal
- 513342nd
- Binary
- 1111101010100111110
- Octal
- 1752476
- Hexadecimal
- 0x7D53E
- Base64
- B9U+
- One's complement
- 4,294,453,953 (32-bit)
- Scientific notation
- 5.13342 × 10⁵
- As a duration
- 513,342 s = 5 days, 22 hours, 35 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵φιγτμβʹ
- Chinese
- 五十一萬三千三百四十二
- Chinese (financial)
- 伍拾壹萬參仟參佰肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513342, here are decompositions:
- 23 + 513319 = 513342
- 29 + 513313 = 513342
- 31 + 513311 = 513342
- 59 + 513283 = 513342
- 73 + 513269 = 513342
- 103 + 513239 = 513342
- 139 + 513203 = 513342
- 173 + 513169 = 513342
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.62.
- Address
- 0.7.213.62
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.62
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 513,342 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 513342 first appears in π at position 106,366 of the decimal expansion (the 106,366ordinal-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°.