107,072
107,072 is a composite number, even.
107,072 (one hundred seven thousand seventy-two) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 239. Its proper divisors sum to 136,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A240.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 270,701
- Recamán's sequence
- a(82,199) = 107,072
- Square (n²)
- 11,464,413,184
- Cube (n³)
- 1,227,517,648,437,248
- Divisor count
- 28
- σ(n) — sum of divisors
- 243,840
- φ(n) — Euler's totient
- 45,696
- Sum of prime factors
- 258
Primality
Prime factorization: 2 6 × 7 × 239
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,072 = [327; (4, 1, 1, 2, 1, 5, 13, 1, 2, 1, 92, 1, 2, 1, 13, 5, 1, 2, 1, 1, 4, 654)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand seventy-two
- Ordinal
- 107072nd
- Binary
- 11010001001000000
- Octal
- 321100
- Hexadecimal
- 0x1A240
- Base64
- AaJA
- One's complement
- 4,294,860,223 (32-bit)
- Scientific notation
- 1.07072 × 10⁵
- As a duration
- 107,072 s = 1 day, 5 hours, 44 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρζοβʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋭·𝋬
- Chinese
- 十萬七千零七十二
- Chinese (financial)
- 壹拾萬柒仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107072, here are decompositions:
- 3 + 107069 = 107072
- 19 + 107053 = 107072
- 79 + 106993 = 107072
- 109 + 106963 = 107072
- 151 + 106921 = 107072
- 211 + 106861 = 107072
- 271 + 106801 = 107072
- 313 + 106759 = 107072
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.64.
- Address
- 0.1.162.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.64
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 107,072 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 107072 first appears in π at position 404,162 of the decimal expansion (the 404,162ordinal-suffix:nd 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.