113,724
113,724 is a composite number, even.
113,724 (one hundred thirteen thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3⁷ × 13. Its proper divisors sum to 207,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC3C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 168
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 427,311
- Recamán's sequence
- a(56,239) = 113,724
- Square (n²)
- 12,933,148,176
- Cube (n³)
- 1,470,809,343,167,424
- Divisor count
- 48
- σ(n) — sum of divisors
- 321,440
- φ(n) — Euler's totient
- 34,992
- Sum of prime factors
- 38
Primality
Prime factorization: 2 2 × 3 7 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,724 = [337; (4, 2, 1, 6, 19, 8, 3, 1, 1, 1, 4, 5, 1, 1, 4, 1, 1, 1, 1, 7, 1, 2, 1, 1, …)]
Representations
- In words
- one hundred thirteen thousand seven hundred twenty-four
- Ordinal
- 113724th
- Binary
- 11011110000111100
- Octal
- 336074
- Hexadecimal
- 0x1BC3C
- Base64
- Abw8
- One's complement
- 4,294,853,571 (32-bit)
- Scientific notation
- 1.13724 × 10⁵
- As a duration
- 113,724 s = 1 day, 7 hours, 35 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγψκδʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋦·𝋤
- Chinese
- 一十一萬三千七百二十四
- Chinese (financial)
- 壹拾壹萬參仟柒佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113724, here are decompositions:
- 5 + 113719 = 113724
- 7 + 113717 = 113724
- 41 + 113683 = 113724
- 67 + 113657 = 113724
- 101 + 113623 = 113724
- 103 + 113621 = 113724
- 157 + 113567 = 113724
- 167 + 113557 = 113724
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B B0 BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.60.
- Address
- 0.1.188.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.60
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 113,724 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.