107,300
107,300 is a composite number, even.
107,300 (one hundred seven thousand three hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 29 × 37. Its proper divisors sum to 140,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A324.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 3,701
- Recamán's sequence
- a(82,655) = 107,300
- Square (n²)
- 11,513,290,000
- Cube (n³)
- 1,235,376,017,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 247,380
- φ(n) — Euler's totient
- 40,320
- Sum of prime factors
- 80
Primality
Prime factorization: 2 2 × 5 2 × 29 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,300 = [327; (1, 1, 3, 4, 8, 1, 162, 1, 8, 4, 3, 1, 1, 654)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand three hundred
- Ordinal
- 107300th
- Binary
- 11010001100100100
- Octal
- 321444
- Hexadecimal
- 0x1A324
- Base64
- AaMk
- One's complement
- 4,294,859,995 (32-bit)
- Scientific notation
- 1.073 × 10⁵
- As a duration
- 107,300 s = 1 day, 5 hours, 48 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρζτʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋥·𝋠
- Chinese
- 十萬七千三百
- Chinese (financial)
- 壹拾萬柒仟參佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107300, here are decompositions:
- 31 + 107269 = 107300
- 73 + 107227 = 107300
- 103 + 107197 = 107300
- 163 + 107137 = 107300
- 181 + 107119 = 107300
- 199 + 107101 = 107300
- 211 + 107089 = 107300
- 223 + 107077 = 107300
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.36.
- Address
- 0.1.163.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.36
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 107,300 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 107300 first appears in π at position 51,766 of the decimal expansion (the 51,766ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.