113,872
113,872 is a composite number, even.
113,872 (one hundred thirteen thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 647. Its proper divisors sum to 127,184, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BCD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 336
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 278,311
- Recamán's sequence
- a(56,531) = 113,872
- Square (n²)
- 12,966,832,384
- Cube (n³)
- 1,476,559,137,230,848
- Divisor count
- 20
- σ(n) — sum of divisors
- 241,056
- φ(n) — Euler's totient
- 51,680
- Sum of prime factors
- 666
Primality
Prime factorization: 2 4 × 11 × 647
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,872 = [337; (2, 4, 2, 2, 1, 9, 1, 5, 15, 5, 1, 9, 1, 2, 2, 4, 2, 674)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand eight hundred seventy-two
- Ordinal
- 113872nd
- Binary
- 11011110011010000
- Octal
- 336320
- Hexadecimal
- 0x1BCD0
- Base64
- AbzQ
- One's complement
- 4,294,853,423 (32-bit)
- Scientific notation
- 1.13872 × 10⁵
- As a duration
- 113,872 s = 1 day, 7 hours, 37 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριγωοβʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋭·𝋬
- Chinese
- 一十一萬三千八百七十二
- Chinese (financial)
- 壹拾壹萬參仟捌佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113872, here are decompositions:
- 29 + 113843 = 113872
- 53 + 113819 = 113872
- 89 + 113783 = 113872
- 113 + 113759 = 113872
- 149 + 113723 = 113872
- 251 + 113621 = 113872
- 281 + 113591 = 113872
- 359 + 113513 = 113872
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.208.
- Address
- 0.1.188.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.188.208
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 113,872 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 113872 first appears in π at position 895,116 of the decimal expansion (the 895,116ordinal-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.