107,310
107,310 is a composite number, even.
107,310 (one hundred seven thousand three hundred ten) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5 × 7² × 73. Its proper divisors sum to 196,386, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A32E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 13,701
- Recamán's sequence
- a(82,675) = 107,310
- Square (n²)
- 11,515,436,100
- Cube (n³)
- 1,235,721,447,891,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 303,696
- φ(n) — Euler's totient
- 24,192
- Sum of prime factors
- 97
Primality
Prime factorization: 2 × 3 × 5 × 7 2 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,310 = [327; (1, 1, 2, 1, 1, 4, 1, 4, 1, 12, 1, 1, 5, 2, 1, 1, 1, 1, 5, 2, 1, 12, 1, 2, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand three hundred ten
- Ordinal
- 107310th
- Binary
- 11010001100101110
- Octal
- 321456
- Hexadecimal
- 0x1A32E
- Base64
- AaMu
- One's complement
- 4,294,859,985 (32-bit)
- Scientific notation
- 1.0731 × 10⁵
- As a duration
- 107,310 s = 1 day, 5 hours, 48 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆
- Greek (Milesian)
- ͵ρζτιʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋥·𝋪
- Chinese
- 十萬七千三百一十
- Chinese (financial)
- 壹拾萬柒仟參佰壹拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107310, here are decompositions:
- 31 + 107279 = 107310
- 37 + 107273 = 107310
- 41 + 107269 = 107310
- 59 + 107251 = 107310
- 67 + 107243 = 107310
- 83 + 107227 = 107310
- 101 + 107209 = 107310
- 109 + 107201 = 107310
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.46.
- Address
- 0.1.163.46
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.46
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 107,310 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°.