106,848
106,848 is a composite number, even.
106,848 (one hundred six thousand eight hundred forty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 7 × 53. Its proper divisors sum to 246,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A160.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 848,601
- Recamán's sequence
- a(81,751) = 106,848
- Square (n²)
- 11,416,495,104
- Cube (n³)
- 1,219,829,668,872,192
- Divisor count
- 72
- σ(n) — sum of divisors
- 353,808
- φ(n) — Euler's totient
- 29,952
- Sum of prime factors
- 76
Primality
Prime factorization: 2 5 × 3 2 × 7 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,848 = [326; (1, 7, 13, 1, 3, 1, 1, 1, 3, 1, 13, 7, 1, 652)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand eight hundred forty-eight
- Ordinal
- 106848th
- Binary
- 11010000101100000
- Octal
- 320540
- Hexadecimal
- 0x1A160
- Base64
- AaFg
- One's complement
- 4,294,860,447 (32-bit)
- Scientific notation
- 1.06848 × 10⁵
- As a duration
- 106,848 s = 1 day, 5 hours, 40 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛωμηʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋢·𝋨
- Chinese
- 十萬六千八百四十八
- Chinese (financial)
- 壹拾萬陸仟捌佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106848, here are decompositions:
- 47 + 106801 = 106848
- 61 + 106787 = 106848
- 67 + 106781 = 106848
- 89 + 106759 = 106848
- 97 + 106751 = 106848
- 101 + 106747 = 106848
- 109 + 106739 = 106848
- 127 + 106721 = 106848
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.96.
- Address
- 0.1.161.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.96
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 106,848 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.