113,080
113,080 is a composite number, even.
113,080 (one hundred thirteen thousand eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 257. Its proper divisors sum to 165,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 80,311
- Recamán's sequence
- a(53,215) = 113,080
- Square (n²)
- 12,787,086,400
- Cube (n³)
- 1,445,963,730,112,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 278,640
- φ(n) — Euler's totient
- 40,960
- Sum of prime factors
- 279
Primality
Prime factorization: 2 3 × 5 × 11 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,080 = [336; (3, 1, 1, 1, 7, 1, 7, 8, 5, 1, 2, 13, 2, 1, 2, 7, 5, 2, 7, 1, 1, 4, 2, 2, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand eighty
- Ordinal
- 113080th
- Binary
- 11011100110111000
- Octal
- 334670
- Hexadecimal
- 0x1B9B8
- Base64
- Abm4
- One's complement
- 4,294,854,215 (32-bit)
- Scientific notation
- 1.1308 × 10⁵
- As a duration
- 113,080 s = 1 day, 7 hours, 24 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριγπʹ
- Mayan (base 20)
- 𝋮·𝋢·𝋮·𝋠
- Chinese
- 一十一萬三千零八十
- Chinese (financial)
- 壹拾壹萬參仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113080, here are decompositions:
- 17 + 113063 = 113080
- 29 + 113051 = 113080
- 41 + 113039 = 113080
- 53 + 113027 = 113080
- 59 + 113021 = 113080
- 83 + 112997 = 113080
- 101 + 112979 = 113080
- 113 + 112967 = 113080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.184.
- Address
- 0.1.185.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.185.184
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 113,080 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 113080 first appears in π at position 27,261 of the decimal expansion (the 27,261ordinal-suffix:st 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.