113,764
113,764 is a composite number, even.
113,764 (one hundred thirteen thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 239. Its proper divisors sum to 128,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC64.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 504
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 467,311
- Recamán's sequence
- a(56,319) = 113,764
- Square (n²)
- 12,942,247,696
- Cube (n³)
- 1,472,361,866,887,744
- Divisor count
- 24
- σ(n) — sum of divisors
- 241,920
- φ(n) — Euler's totient
- 45,696
- Sum of prime factors
- 267
Primality
Prime factorization: 2 2 × 7 × 17 × 239
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,764 = [337; (3, 2, 5, 2, 3, 2, 18, 1, 5, 7, 1, 3, 3, 4, 1, 26, 5, 1, 4, 1, 5, 26, 1, 4, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand seven hundred sixty-four
- Ordinal
- 113764th
- Binary
- 11011110001100100
- Octal
- 336144
- Hexadecimal
- 0x1BC64
- Base64
- Abxk
- One's complement
- 4,294,853,531 (32-bit)
- Scientific notation
- 1.13764 × 10⁵
- As a duration
- 113,764 s = 1 day, 7 hours, 36 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγψξδʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋨·𝋤
- Chinese
- 一十一萬三千七百六十四
- Chinese (financial)
- 壹拾壹萬參仟柒佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113764, here are decompositions:
- 3 + 113761 = 113764
- 5 + 113759 = 113764
- 41 + 113723 = 113764
- 47 + 113717 = 113764
- 107 + 113657 = 113764
- 173 + 113591 = 113764
- 197 + 113567 = 113764
- 227 + 113537 = 113764
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B B1 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.100.
- Address
- 0.1.188.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.100
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 113,764 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 113764 first appears in π at position 437,286 of the decimal expansion (the 437,286ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.