508,080
508,080 is a composite number, even.
508,080 (five hundred eight thousand eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 29 × 73. Its proper divisors sum to 1,143,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C0B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 80,805
- Square (n²)
- 258,145,286,400
- Cube (n³)
- 131,158,457,114,112,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,651,680
- φ(n) — Euler's totient
- 129,024
- Sum of prime factors
- 118
Primality
Prime factorization: 2 4 × 3 × 5 × 29 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√508,080 = [712; (1, 3, 1, 14, 20, 89, 20, 14, 1, 3, 1, 1424)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- five hundred eight thousand eighty
- Ordinal
- 508080th
- Binary
- 1111100000010110000
- Octal
- 1740260
- Hexadecimal
- 0x7C0B0
- Base64
- B8Cw
- One's complement
- 4,294,459,215 (32-bit)
- Scientific notation
- 5.0808 × 10⁵
- As a duration
- 508,080 s = 5 days, 21 hours, 8 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φηπʹ
- Chinese
- 五十萬八千零八十
- Chinese (financial)
- 伍拾萬捌仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508080, here are decompositions:
- 7 + 508073 = 508080
- 43 + 508037 = 508080
- 47 + 508033 = 508080
- 59 + 508021 = 508080
- 61 + 508019 = 508080
- 71 + 508009 = 508080
- 101 + 507979 = 508080
- 109 + 507971 = 508080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.192.176.
- Address
- 0.7.192.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.192.176
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 508,080 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 508080 first appears in π at position 49,373 of the decimal expansion (the 49,373ordinal-suffix:rd 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°.