113,792
113,792 is a composite number, even.
113,792 (one hundred thirteen thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 7 × 127. Its proper divisors sum to 147,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 378
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 297,311
- Recamán's sequence
- a(56,375) = 113,792
- Square (n²)
- 12,948,619,264
- Cube (n³)
- 1,473,449,283,289,088
- Divisor count
- 32
- σ(n) — sum of divisors
- 261,120
- φ(n) — Euler's totient
- 48,384
- Sum of prime factors
- 148
Primality
Prime factorization: 2 7 × 7 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,792 = [337; (3, 41, 1, 4, 1, 167, 1, 4, 1, 41, 3, 674)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand seven hundred ninety-two
- Ordinal
- 113792nd
- Binary
- 11011110010000000
- Octal
- 336200
- Hexadecimal
- 0x1BC80
- Base64
- AbyA
- One's complement
- 4,294,853,503 (32-bit)
- Scientific notation
- 1.13792 × 10⁵
- As a duration
- 113,792 s = 1 day, 7 hours, 36 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριγψϟβʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋩·𝋬
- Chinese
- 一十一萬三千七百九十二
- Chinese (financial)
- 壹拾壹萬參仟柒佰玖拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113792, here are decompositions:
- 13 + 113779 = 113792
- 31 + 113761 = 113792
- 43 + 113749 = 113792
- 61 + 113731 = 113792
- 73 + 113719 = 113792
- 109 + 113683 = 113792
- 409 + 113383 = 113792
- 421 + 113371 = 113792
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B B2 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.128.
- Address
- 0.1.188.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.128
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 113,792 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 113792 first appears in π at position 975,729 of the decimal expansion (the 975,729ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.