107,372
107,372 is a composite number, even.
107,372 (one hundred seven thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 1,579. Written other ways, in hexadecimal, 0x1A36C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 273,701
- Recamán's sequence
- a(82,799) = 107,372
- Square (n²)
- 11,528,746,384
- Cube (n³)
- 1,237,864,556,742,848
- Divisor count
- 12
- σ(n) — sum of divisors
- 199,080
- φ(n) — Euler's totient
- 50,496
- Sum of prime factors
- 1,600
Primality
Prime factorization: 2 2 × 17 × 1579
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,372 = [327; (1, 2, 10, 1, 3, 2, 2, 1, 81, 4, 1, 3, 2, 1, 2, 11, 1, 162, 1, 11, 2, 1, 2, 3, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand three hundred seventy-two
- Ordinal
- 107372nd
- Binary
- 11010001101101100
- Octal
- 321554
- Hexadecimal
- 0x1A36C
- Base64
- AaNs
- One's complement
- 4,294,859,923 (32-bit)
- Scientific notation
- 1.07372 × 10⁵
- As a duration
- 107,372 s = 1 day, 5 hours, 49 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρζτοβʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋨·𝋬
- Chinese
- 十萬七千三百七十二
- Chinese (financial)
- 壹拾萬柒仟參佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107372, here are decompositions:
- 103 + 107269 = 107372
- 163 + 107209 = 107372
- 271 + 107101 = 107372
- 283 + 107089 = 107372
- 379 + 106993 = 107372
- 409 + 106963 = 107372
- 571 + 106801 = 107372
- 613 + 106759 = 107372
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.108.
- Address
- 0.1.163.108
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.108
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 107,372 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 107372 first appears in π at position 324,835 of the decimal expansion (the 324,835ordinal-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.