105,248
105,248 is a composite number, even.
105,248 (one hundred five thousand two hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 13 × 23. Its proper divisors sum to 148,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19B20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 842,501
- Recamán's sequence
- a(89,963) = 105,248
- Square (n²)
- 11,077,141,504
- Cube (n³)
- 1,165,846,989,012,992
- Divisor count
- 48
- σ(n) — sum of divisors
- 254,016
- φ(n) — Euler's totient
- 42,240
- Sum of prime factors
- 57
Primality
Prime factorization: 2 5 × 11 × 13 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,248 = [324; (2, 2, 1, 1, 1, 1, 7, 1, 1, 1, 1, 161, 1, 1, 1, 1, 7, 1, 1, 1, 1, 2, 2, 648)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred five thousand two hundred forty-eight
- Ordinal
- 105248th
- Binary
- 11001101100100000
- Octal
- 315440
- Hexadecimal
- 0x19B20
- Base64
- AZsg
- One's complement
- 4,294,862,047 (32-bit)
- Scientific notation
- 1.05248 × 10⁵
- As a duration
- 105,248 s = 1 day, 5 hours, 14 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρεσμηʹ
- Mayan (base 20)
- 𝋭·𝋣·𝋢·𝋨
- Chinese
- 一十萬五千二百四十八
- Chinese (financial)
- 壹拾萬伍仟貳佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105248, here are decompositions:
- 19 + 105229 = 105248
- 37 + 105211 = 105248
- 151 + 105097 = 105248
- 211 + 105037 = 105248
- 229 + 105019 = 105248
- 277 + 104971 = 105248
- 331 + 104917 = 105248
- 337 + 104911 = 105248
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.155.32.
- Address
- 0.1.155.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.155.32
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 105,248 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.