110,008
110,008 is a composite number, even.
110,008 (one hundred ten thousand eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 13,751. Written other ways, in hexadecimal, 0x1ADB8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 800,011
- Flips to (rotate 180°)
- 800,011
- Recamán's sequence
- a(249,280) = 110,008
- Square (n²)
- 12,101,760,064
- Cube (n³)
- 1,331,290,421,120,512
- Divisor count
- 8
- σ(n) — sum of divisors
- 206,280
- φ(n) — Euler's totient
- 55,000
- Sum of prime factors
- 13,757
Primality
Prime factorization: 2 3 × 13751
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,008 = [331; (1, 2, 13, 1, 3, 1, 1, 4, 3, 8, 1, 3, 2, 8, 3, 1, 1, 38, 2, 4, 1, 1, 1, 5, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand eight
- Ordinal
- 110008th
- Binary
- 11010110110111000
- Octal
- 326670
- Hexadecimal
- 0x1ADB8
- Base64
- Aa24
- One's complement
- 4,294,857,287 (32-bit)
- Scientific notation
- 1.10008 × 10⁵
- As a duration
- 110,008 s = 1 day, 6 hours, 33 minutes, 28 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριηʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋠·𝋨
- Chinese
- 一十一萬零八
- Chinese (financial)
- 壹拾壹萬零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110008, here are decompositions:
- 47 + 109961 = 110008
- 71 + 109937 = 110008
- 89 + 109919 = 110008
- 149 + 109859 = 110008
- 167 + 109841 = 110008
- 179 + 109829 = 110008
- 257 + 109751 = 110008
- 347 + 109661 = 110008
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.184.
- Address
- 0.1.173.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.173.184
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 110,008 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 110008 first appears in π at position 861,674 of the decimal expansion (the 861,674ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.