113,526
113,526 is a composite number, even.
113,526 (one hundred thirteen thousand five hundred twenty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 7 × 17 × 53. Its proper divisors sum to 189,738, more than the number itself, making it an abundant number. It is the 476th triangular number. Written other ways, in hexadecimal, 0x1BB76.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 180
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 625,311
- Recamán's sequence
- a(53,811) = 113,526
- Square (n²)
- 12,888,152,676
- Cube (n³)
- 1,463,140,420,695,576
- Divisor count
- 48
- σ(n) — sum of divisors
- 303,264
- φ(n) — Euler's totient
- 29,952
- Sum of prime factors
- 85
Primality
Prime factorization: 2 × 3 2 × 7 × 17 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,526 = [336; (1, 14, 1, 2, 17, 2, 1, 1, 5, 6, 5, 1, 1, 2, 17, 2, 1, 14, 1, 672)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand five hundred twenty-six
- Ordinal
- 113526th
- Binary
- 11011101101110110
- Octal
- 335566
- Hexadecimal
- 0x1BB76
- Base64
- Abt2
- One's complement
- 4,294,853,769 (32-bit)
- Scientific notation
- 1.13526 × 10⁵
- As a duration
- 113,526 s = 1 day, 7 hours, 32 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγφκϛʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋰·𝋦
- Chinese
- 一十一萬三千五百二十六
- Chinese (financial)
- 壹拾壹萬參仟伍佰貳拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113526, here are decompositions:
- 13 + 113513 = 113526
- 29 + 113497 = 113526
- 37 + 113489 = 113526
- 59 + 113467 = 113526
- 73 + 113453 = 113526
- 89 + 113437 = 113526
- 109 + 113417 = 113526
- 163 + 113363 = 113526
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.118.
- Address
- 0.1.187.118
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.187.118
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 113,526 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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.