107,000
107,000 is a composite number, even.
107,000 (one hundred seven thousand) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 107. Its proper divisors sum to 145,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1F8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 701
- Recamán's sequence
- a(81,239) = 107,000
- Square (n²)
- 11,449,000,000
- Cube (n³)
- 1,225,043,000,000,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 252,720
- φ(n) — Euler's totient
- 42,400
- Sum of prime factors
- 128
Primality
Prime factorization: 2 3 × 5 3 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,000 = [327; (9, 4, 1, 2, 3, 14, 1, 1, 3, 25, 1, 7, 1, 1, 1, 4, 1, 3, 20, 1, 5, 2, 1, 25, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand
- Ordinal
- 107000th
- Binary
- 11010000111111000
- Octal
- 320770
- Hexadecimal
- 0x1A1F8
- Base64
- AaH4
- One's complement
- 4,294,860,295 (32-bit)
- Scientific notation
- 1.07 × 10⁵
- As a duration
- 107,000 s = 1 day, 5 hours, 43 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ρζ
- Mayan (base 20)
- 𝋭·𝋧·𝋪·𝋠
- Chinese
- 十萬七千
- Chinese (financial)
- 壹拾萬柒仟
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107000, here are decompositions:
- 7 + 106993 = 107000
- 37 + 106963 = 107000
- 43 + 106957 = 107000
- 79 + 106921 = 107000
- 97 + 106903 = 107000
- 139 + 106861 = 107000
- 199 + 106801 = 107000
- 241 + 106759 = 107000
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.248.
- Address
- 0.1.161.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.248
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 107,000 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.