513,352
513,352 is a composite number, even.
513,352 (five hundred thirteen thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 89 × 103. Its proper divisors sum to 609,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D548.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 450
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 253,315
- Square (n²)
- 263,530,275,904
- Cube (n³)
- 135,283,794,195,870,208
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,123,200
- φ(n) — Euler's totient
- 215,424
- Sum of prime factors
- 205
Primality
Prime factorization: 2 3 × 7 × 89 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,352 = [716; (2, 17, 5, 4, 2, 1, 29, 1, 3, 1, 15, 1, 2, 19, 1, 1, 3, 1, 1, 19, 2, 1, 15, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand three hundred fifty-two
- Ordinal
- 513352nd
- Binary
- 1111101010101001000
- Octal
- 1752510
- Hexadecimal
- 0x7D548
- Base64
- B9VI
- One's complement
- 4,294,453,943 (32-bit)
- Scientific notation
- 5.13352 × 10⁵
- As a duration
- 513,352 s = 5 days, 22 hours, 35 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵φιγτνβʹ
- Chinese
- 五十一萬三千三百五十二
- Chinese (financial)
- 伍拾壹萬參仟參佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513352, here are decompositions:
- 5 + 513347 = 513352
- 11 + 513341 = 513352
- 41 + 513311 = 513352
- 83 + 513269 = 513352
- 113 + 513239 = 513352
- 149 + 513203 = 513352
- 179 + 513173 = 513352
- 251 + 513101 = 513352
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.72.
- Address
- 0.7.213.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.72
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 513,352 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 513352 first appears in π at position 37,458 of the decimal expansion (the 37,458ordinal-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°.