107,316
107,316 is a composite number, even.
107,316 (one hundred seven thousand three hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 271. Its proper divisors sum to 189,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A334.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 613,701
- Recamán's sequence
- a(82,687) = 107,316
- Square (n²)
- 11,516,723,856
- Cube (n³)
- 1,235,928,737,330,496
- Divisor count
- 36
- σ(n) — sum of divisors
- 297,024
- φ(n) — Euler's totient
- 32,400
- Sum of prime factors
- 292
Primality
Prime factorization: 2 2 × 3 2 × 11 × 271
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,316 = [327; (1, 1, 2, 4, 6, 1, 2, 40, 1, 1, 2, 72, 2, 1, 1, 40, 2, 1, 6, 4, 2, 1, 1, 654)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand three hundred sixteen
- Ordinal
- 107316th
- Binary
- 11010001100110100
- Octal
- 321464
- Hexadecimal
- 0x1A334
- Base64
- AaM0
- One's complement
- 4,294,859,979 (32-bit)
- Scientific notation
- 1.07316 × 10⁵
- As a duration
- 107,316 s = 1 day, 5 hours, 48 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζτιϛʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋥·𝋰
- Chinese
- 十萬七千三百一十六
- Chinese (financial)
- 壹拾萬柒仟參佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107316, here are decompositions:
- 7 + 107309 = 107316
- 37 + 107279 = 107316
- 43 + 107273 = 107316
- 47 + 107269 = 107316
- 73 + 107243 = 107316
- 89 + 107227 = 107316
- 107 + 107209 = 107316
- 179 + 107137 = 107316
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.52.
- Address
- 0.1.163.52
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.52
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 107,316 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.