106,272
106,272 is a composite number, even.
106,272 (one hundred six thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁵ × 3⁴ × 41. Its proper divisors sum to 213,894, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19F20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 272,601
- Square (n²)
- 11,293,737,984
- Cube (n³)
- 1,200,208,123,035,648
- Divisor count
- 60
- σ(n) — sum of divisors
- 320,166
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 63
Primality
Prime factorization: 2 5 × 3 4 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,272 = [325; (1, 161, 1, 650)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand two hundred seventy-two
- Ordinal
- 106272nd
- Binary
- 11001111100100000
- Octal
- 317440
- Hexadecimal
- 0x19F20
- Base64
- AZ8g
- One's complement
- 4,294,861,023 (32-bit)
- Scientific notation
- 1.06272 × 10⁵
- As a duration
- 106,272 s = 1 day, 5 hours, 31 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρϛσοβʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋭·𝋬
- Chinese
- 十萬六千二百七十二
- Chinese (financial)
- 壹拾萬陸仟貳佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106272, here are decompositions:
- 11 + 106261 = 106272
- 29 + 106243 = 106272
- 53 + 106219 = 106272
- 59 + 106213 = 106272
- 83 + 106189 = 106272
- 109 + 106163 = 106272
- 149 + 106123 = 106272
- 151 + 106121 = 106272
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.32.
- Address
- 0.1.159.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.159.32
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 106,272 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 106272 first appears in π at position 149,215 of the decimal expansion (the 149,215ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.