513,422
513,422 is a composite number, even.
513,422 (five hundred thirteen thousand four hundred twenty-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2 × 7² × 13² × 31. Written other ways, in hexadecimal, 0x7D58E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 240
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 224,315
- Square (n²)
- 263,602,150,084
- Cube (n³)
- 135,339,143,100,427,448
- Divisor count
- 36
- σ(n) — sum of divisors
- 1,001,376
- φ(n) — Euler's totient
- 196,560
- Sum of prime factors
- 73
Primality
Prime factorization: 2 × 7 2 × 13 2 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,422 = [716; (1, 1, 6, 1, 2, 2, 1, 7, 1, 3, 1, 1, 22, 1, 1, 3, 1, 7, 1, 2, 2, 1, 6, 1, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand four hundred twenty-two
- Ordinal
- 513422nd
- Binary
- 1111101010110001110
- Octal
- 1752616
- Hexadecimal
- 0x7D58E
- Base64
- B9WO
- One's complement
- 4,294,453,873 (32-bit)
- Scientific notation
- 5.13422 × 10⁵
- As a duration
- 513,422 s = 5 days, 22 hours, 37 minutes, 2 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵φιγυκβʹ
- Chinese
- 五十一萬三千四百二十二
- Chinese (financial)
- 伍拾壹萬參仟肆佰貳拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513422, here are decompositions:
- 3 + 513419 = 513422
- 103 + 513319 = 513422
- 109 + 513313 = 513422
- 139 + 513283 = 513422
- 313 + 513109 = 513422
- 409 + 513013 = 513422
- 421 + 513001 = 513422
- 433 + 512989 = 513422
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.142.
- Address
- 0.7.213.142
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.142
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 513,422 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 513422 first appears in π at position 368,874 of the decimal expansion (the 368,874ordinal-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°.