106,746
106,746 is a composite number, even.
106,746 (one hundred six thousand seven hundred forty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 17,791. Its proper divisors sum to 106,758, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A0FA.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 647,601
- Recamán's sequence
- a(81,367) = 106,746
- Square (n²)
- 11,394,708,516
- Cube (n³)
- 1,216,339,555,248,936
- Divisor count
- 8
- σ(n) — sum of divisors
- 213,504
- φ(n) — Euler's totient
- 35,580
- Sum of prime factors
- 17,796
Primality
Prime factorization: 2 × 3 × 17791
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,746 = [326; (1, 2, 1, 1, 2, 1, 24, 2, 2, 2, 1, 5, 1, 1, 1, 3, 4, 1, 1, 1, 1, 16, 6, 1, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand seven hundred forty-six
- Ordinal
- 106746th
- Binary
- 11010000011111010
- Octal
- 320372
- Hexadecimal
- 0x1A0FA
- Base64
- AaD6
- One's complement
- 4,294,860,549 (32-bit)
- Scientific notation
- 1.06746 × 10⁵
- As a duration
- 106,746 s = 1 day, 5 hours, 39 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛψμϛʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋱·𝋦
- Chinese
- 十萬六千七百四十六
- Chinese (financial)
- 壹拾萬陸仟柒佰肆拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106746, here are decompositions:
- 7 + 106739 = 106746
- 19 + 106727 = 106746
- 43 + 106703 = 106746
- 47 + 106699 = 106746
- 53 + 106693 = 106746
- 83 + 106663 = 106746
- 89 + 106657 = 106746
- 97 + 106649 = 106746
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.250.
- Address
- 0.1.160.250
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.250
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 106,746 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°.