105,742
105,742 is a composite number, even.
105,742 (one hundred five thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 7² × 13 × 83. Written other ways, in hexadecimal, 0x19D0E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 247,501
- Recamán's sequence
- a(42,895) = 105,742
- Square (n²)
- 11,181,370,564
- Cube (n³)
- 1,182,340,486,178,488
- Divisor count
- 24
- σ(n) — sum of divisors
- 201,096
- φ(n) — Euler's totient
- 41,328
- Sum of prime factors
- 112
Primality
Prime factorization: 2 × 7 2 × 13 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,742 = [325; (5, 1, 1, 3, 1, 7, 4, 72, 50, 72, 4, 7, 1, 3, 1, 1, 5, 650)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred five thousand seven hundred forty-two
- Ordinal
- 105742nd
- Binary
- 11001110100001110
- Octal
- 316416
- Hexadecimal
- 0x19D0E
- Base64
- AZ0O
- One's complement
- 4,294,861,553 (32-bit)
- Scientific notation
- 1.05742 × 10⁵
- As a duration
- 105,742 s = 1 day, 5 hours, 22 minutes, 22 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρεψμβʹ
- Mayan (base 20)
- 𝋭·𝋤·𝋧·𝋢
- Chinese
- 一十萬五千七百四十二
- Chinese (financial)
- 壹拾萬伍仟柒佰肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105742, here are decompositions:
- 41 + 105701 = 105742
- 59 + 105683 = 105742
- 89 + 105653 = 105742
- 179 + 105563 = 105742
- 233 + 105509 = 105742
- 239 + 105503 = 105742
- 251 + 105491 = 105742
- 293 + 105449 = 105742
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.157.14.
- Address
- 0.1.157.14
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.157.14
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 105,742 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 105742 first appears in π at position 572,417 of the decimal expansion (the 572,417ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.