113,712
113,712 is a composite number, even.
113,712 (one hundred thirteen thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 23 × 103. Its proper divisors sum to 195,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC30.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 42
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 217,311
- Recamán's sequence
- a(56,215) = 113,712
- Square (n²)
- 12,930,418,944
- Cube (n³)
- 1,470,343,798,960,128
- Divisor count
- 40
- σ(n) — sum of divisors
- 309,504
- φ(n) — Euler's totient
- 35,904
- Sum of prime factors
- 137
Primality
Prime factorization: 2 4 × 3 × 23 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,712 = [337; (4, 1, 2, 1, 1, 41, 1, 1, 2, 1, 4, 674)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand seven hundred twelve
- Ordinal
- 113712th
- Binary
- 11011110000110000
- Octal
- 336060
- Hexadecimal
- 0x1BC30
- Base64
- Abww
- One's complement
- 4,294,853,583 (32-bit)
- Scientific notation
- 1.13712 × 10⁵
- As a duration
- 113,712 s = 1 day, 7 hours, 35 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριγψιβʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋥·𝋬
- Chinese
- 一十一萬三千七百一十二
- Chinese (financial)
- 壹拾壹萬參仟柒佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113712, here are decompositions:
- 29 + 113683 = 113712
- 89 + 113623 = 113712
- 173 + 113539 = 113712
- 199 + 113513 = 113712
- 211 + 113501 = 113712
- 223 + 113489 = 113712
- 331 + 113381 = 113712
- 349 + 113363 = 113712
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B B0 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.48.
- Address
- 0.1.188.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.48
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 113,712 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 113712 first appears in π at position 412,658 of the decimal expansion (the 412,658ordinal-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°.