106,872
106,872 is a composite number, even.
106,872 (one hundred six thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 61 × 73. Its proper divisors sum to 168,408, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A178.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 278,601
- Recamán's sequence
- a(81,799) = 106,872
- Square (n²)
- 11,421,624,384
- Cube (n³)
- 1,220,651,841,166,848
- Divisor count
- 32
- σ(n) — sum of divisors
- 275,280
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 143
Primality
Prime factorization: 2 3 × 3 × 61 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,872 = [326; (1, 10, 2, 8, 2, 10, 1, 652)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand eight hundred seventy-two
- Ordinal
- 106872nd
- Binary
- 11010000101111000
- Octal
- 320570
- Hexadecimal
- 0x1A178
- Base64
- AaF4
- One's complement
- 4,294,860,423 (32-bit)
- Scientific notation
- 1.06872 × 10⁵
- As a duration
- 106,872 s = 1 day, 5 hours, 41 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρϛωοβʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋣·𝋬
- Chinese
- 十萬六千八百七十二
- Chinese (financial)
- 壹拾萬陸仟捌佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106872, here are decompositions:
- 5 + 106867 = 106872
- 11 + 106861 = 106872
- 13 + 106859 = 106872
- 19 + 106853 = 106872
- 71 + 106801 = 106872
- 89 + 106783 = 106872
- 113 + 106759 = 106872
- 151 + 106721 = 106872
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.120.
- Address
- 0.1.161.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.120
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 106,872 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°.