The number 85742
85742 is a composite number with 8 divisors. Its prime factorisation is 2 × 43 × 997. Divisors (8): 1, 2, 43, 86, 997, 1994, 42871, 85742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
85742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
85742 is composite. Its prime factorisation is
- 3
The divisors add up to 131736; without 85742 itself that is 45994, so 85742 is deficient (45994 is less than 85742). Euler's totient φ(85742) = 41832 numbers up to 85742 share no factor with it.
- 4
The digits of 85742 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85742 = 2 \times 43 \times 997 \]
85742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 131736 |
| Euler totient φ(n) | 41832 |
| Square | 7351690564 |
| Cube | 630348652338488 |
| Square root | 292.817349 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.5742 × |
85742 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand seven hundred and forty-two |
| Binary (base 2) | 10100111011101110 |
| Octal (base 8) | 247356 |
| Hexadecimal (base 16) | 14EEE |
| Base 3 | 11100121122 |
| As time | 85742 seconds = 23 h 49 min 2 s |
Is 85742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (85742 ÷ 2 = 42871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 85742 a prime number?
No. 85742 = 2 × 43 × 997, so it is divisible by 2.
What are the factors of 85742?
1, 2, 43, 86, 997, 1994, 42871, 85742.
What is 85742 in binary?
10100111011101110 (hexadecimal 14EEE, octal 247356).
What is the square root of 85742?
About 292.8173.
Is 85742 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 85742?
It is a composite number with 8 divisors.