107,712
107,712 is a composite number, even.
107,712 (one hundred seven thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 11 × 17. Its proper divisors sum to 248,904, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A4C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 217,701
- Square (n²)
- 11,601,874,944
- Cube (n³)
- 1,249,661,153,968,128
- Divisor count
- 84
- σ(n) — sum of divisors
- 356,616
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 46
Primality
Prime factorization: 2 6 × 3 2 × 11 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,712 = [328; (5, 7, 1, 9, 2, 1, 1, 1, 4, 1, 1, 163, 1, 1, 4, 1, 1, 1, 2, 9, 1, 7, 5, 656)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand seven hundred twelve
- Ordinal
- 107712th
- Binary
- 11010010011000000
- Octal
- 322300
- Hexadecimal
- 0x1A4C0
- Base64
- AaTA
- One's complement
- 4,294,859,583 (32-bit)
- Scientific notation
- 1.07712 × 10⁵
- As a duration
- 107,712 s = 1 day, 5 hours, 55 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρζψιβʹ
- Mayan (base 20)
- 𝋭·𝋩·𝋥·𝋬
- Chinese
- 十萬七千七百一十二
- Chinese (financial)
- 壹拾萬柒仟柒佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107712, here are decompositions:
- 13 + 107699 = 107712
- 19 + 107693 = 107712
- 41 + 107671 = 107712
- 71 + 107641 = 107712
- 103 + 107609 = 107712
- 109 + 107603 = 107712
- 113 + 107599 = 107712
- 131 + 107581 = 107712
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.192.
- Address
- 0.1.164.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.164.192
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 107,712 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 107712 first appears in π at position 694,612 of the decimal expansion (the 694,612ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.