514,080
514,080 is a composite number, even.
514,080 (five hundred fourteen thousand eighty) is an even 6-digit number. It is a composite number with 192 divisors, and factors as 2⁵ × 3³ × 5 × 7 × 17. Its proper divisors sum to 1,663,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D820.
Interestingness
Properties
Primality
Prime factorization: 2 5 × 3 3 × 5 × 7 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√514,080 = [716; (1, 158, 3, 158, 1, 1432)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- five hundred fourteen thousand eighty
- Ordinal
- 514080th
- Binary
- 1111101100000100000
- Octal
- 1754040
- Hexadecimal
- 0x7D820
- Base64
- B9gg
- One's complement
- 4,294,453,215 (32-bit)
- Scientific notation
- 5.1408 × 10⁵
- As a duration
- 514,080 s = 5 days, 22 hours, 48 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φιδπʹ
- Chinese
- 五十一萬四千零八十
- Chinese (financial)
- 伍拾壹萬肆仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 514080, here are decompositions:
- 19 + 514061 = 514080
- 23 + 514057 = 514080
- 29 + 514051 = 514080
- 31 + 514049 = 514080
- 59 + 514021 = 514080
- 67 + 514013 = 514080
- 71 + 514009 = 514080
- 79 + 514001 = 514080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.216.32.
- Address
- 0.7.216.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.216.32
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 514,080 and was likely granted around 1894.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 514080 first appears in π at position 155,785 of the decimal expansion (the 155,785ordinal-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°.