113,646
113,646 is a composite number, even.
113,646 (one hundred thirteen thousand six hundred forty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 31 × 47. Its proper divisors sum to 144,402, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BBEE.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 432
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 646,311
- Recamán's sequence
- a(56,083) = 113,646
- Square (n²)
- 12,915,413,316
- Cube (n³)
- 1,467,785,061,710,136
- Divisor count
- 32
- σ(n) — sum of divisors
- 258,048
- φ(n) — Euler's totient
- 33,120
- Sum of prime factors
- 96
Primality
Prime factorization: 2 × 3 × 13 × 31 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,646 = [337; (8, 1, 3, 12, 1, 26, 22, 2, 3, 2, 10, 2, 3, 2, 22, 26, 1, 12, 3, 1, 8, 674)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand six hundred forty-six
- Ordinal
- 113646th
- Binary
- 11011101111101110
- Octal
- 335756
- Hexadecimal
- 0x1BBEE
- Base64
- Abvu
- One's complement
- 4,294,853,649 (32-bit)
- Scientific notation
- 1.13646 × 10⁵
- As a duration
- 113,646 s = 1 day, 7 hours, 34 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγχμϛʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋢·𝋦
- Chinese
- 一十一萬三千六百四十六
- Chinese (financial)
- 壹拾壹萬參仟陸佰肆拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113646, here are decompositions:
- 23 + 113623 = 113646
- 79 + 113567 = 113646
- 89 + 113557 = 113646
- 107 + 113539 = 113646
- 109 + 113537 = 113646
- 149 + 113497 = 113646
- 157 + 113489 = 113646
- 179 + 113467 = 113646
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.238.
- Address
- 0.1.187.238
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.187.238
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 113,646 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 113646 first appears in π at position 863,259 of the decimal expansion (the 863,259ordinal-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°.