107,208
107,208 is a composite number, even.
107,208 (one hundred seven thousand two hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,489. Its proper divisors sum to 183,342, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2C8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 802,701
- Recamán's sequence
- a(82,471) = 107,208
- Square (n²)
- 11,493,555,264
- Cube (n³)
- 1,232,201,072,742,912
- Divisor count
- 24
- σ(n) — sum of divisors
- 290,550
- φ(n) — Euler's totient
- 35,712
- Sum of prime factors
- 1,501
Primality
Prime factorization: 2 3 × 3 2 × 1489
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,208 = [327; (2, 2, 1, 8, 2, 1, 1, 1, 2, 72, 2, 1, 1, 1, 2, 8, 1, 2, 2, 654)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand two hundred eight
- Ordinal
- 107208th
- Binary
- 11010001011001000
- Octal
- 321310
- Hexadecimal
- 0x1A2C8
- Base64
- AaLI
- One's complement
- 4,294,860,087 (32-bit)
- Scientific notation
- 1.07208 × 10⁵
- As a duration
- 107,208 s = 1 day, 5 hours, 46 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζσηʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋠·𝋨
- Chinese
- 十萬七千二百零八
- Chinese (financial)
- 壹拾萬柒仟貳佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107208, here are decompositions:
- 7 + 107201 = 107208
- 11 + 107197 = 107208
- 37 + 107171 = 107208
- 71 + 107137 = 107208
- 89 + 107119 = 107208
- 107 + 107101 = 107208
- 109 + 107099 = 107208
- 131 + 107077 = 107208
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.200.
- Address
- 0.1.162.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.200
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 107,208 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 107208 first appears in π at position 660,144 of the decimal expansion (the 660,144ordinal-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°.