113,984
113,984 is a composite number, even.
113,984 (one hundred thirteen thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 13 × 137. Its proper divisors sum to 131,380, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD40.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 864
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 489,311
- Recamán's sequence
- a(56,755) = 113,984
- Square (n²)
- 12,992,352,256
- Cube (n³)
- 1,480,920,279,547,904
- Divisor count
- 28
- σ(n) — sum of divisors
- 245,364
- φ(n) — Euler's totient
- 52,224
- Sum of prime factors
- 162
Primality
Prime factorization: 2 6 × 13 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,984 = [337; (1, 1, 1, 1, 2, 26, 1, 1, 1, 1, 1, 39, 10, 1, 1, 9, 2, 2, 6, 6, 1, 1, 2, 9, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand nine hundred eighty-four
- Ordinal
- 113984th
- Binary
- 11011110101000000
- Octal
- 336500
- Hexadecimal
- 0x1BD40
- Base64
- Ab1A
- One's complement
- 4,294,853,311 (32-bit)
- Scientific notation
- 1.13984 × 10⁵
- As a duration
- 113,984 s = 1 day, 7 hours, 39 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγϡπδʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋳·𝋤
- Chinese
- 一十一萬三千九百八十四
- Chinese (financial)
- 壹拾壹萬參仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113984, here are decompositions:
- 37 + 113947 = 113984
- 223 + 113761 = 113984
- 337 + 113647 = 113984
- 487 + 113497 = 113984
- 547 + 113437 = 113984
- 601 + 113383 = 113984
- 613 + 113371 = 113984
- 643 + 113341 = 113984
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.64.
- Address
- 0.1.189.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.189.64
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 113,984 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 113984 first appears in π at position 623,259 of the decimal expansion (the 623,259ordinal-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.