113,048
113,048 is a composite number, even.
113,048 (one hundred thirteen thousand forty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,087. Its proper divisors sum to 115,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B998.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 840,311
- Recamán's sequence
- a(53,147) = 113,048
- Square (n²)
- 12,779,850,304
- Cube (n³)
- 1,444,736,517,166,592
- Divisor count
- 16
- σ(n) — sum of divisors
- 228,480
- φ(n) — Euler's totient
- 52,128
- Sum of prime factors
- 1,106
Primality
Prime factorization: 2 3 × 13 × 1087
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,048 = [336; (4, 2, 2, 1, 2, 1, 2, 39, 5, 3, 1, 2, 2, 5, 7, 2, 5, 3, 28, 1, 11, 1, 28, 3, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand forty-eight
- Ordinal
- 113048th
- Binary
- 11011100110011000
- Octal
- 334630
- Hexadecimal
- 0x1B998
- Base64
- AbmY
- One's complement
- 4,294,854,247 (32-bit)
- Scientific notation
- 1.13048 × 10⁵
- As a duration
- 113,048 s = 1 day, 7 hours, 24 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριγμηʹ
- Mayan (base 20)
- 𝋮·𝋢·𝋬·𝋨
- Chinese
- 一十一萬三千零四十八
- Chinese (financial)
- 壹拾壹萬參仟零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113048, here are decompositions:
- 7 + 113041 = 113048
- 31 + 113017 = 113048
- 37 + 113011 = 113048
- 97 + 112951 = 113048
- 109 + 112939 = 113048
- 127 + 112921 = 113048
- 139 + 112909 = 113048
- 241 + 112807 = 113048
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.152.
- Address
- 0.1.185.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.185.152
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 113,048 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 113048 first appears in π at position 389,511 of the decimal expansion (the 389,511ordinal-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.