The number 85743
85743 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1361. Divisors (12): 1, 3, 7, 9, 21, 63, 1361, 4083, 9527, 12249, 28581, 85743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
85743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
85743 is composite. Its prime factorisation is
- 3
The divisors add up to 141648; without 85743 itself that is 55905, so 85743 is deficient (55905 is less than 85743). Euler's totient φ(85743) = 48960 numbers up to 85743 share no factor with it.
- 4
The digits of 85743 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85743 = 3^{2} \times 7 \times 1361 \]85743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 141648 |
| Euler totient φ(n) | 48960 |
| Square | 7351862049 |
| Cube | 630370707667407 |
| Square root | 292.819057 (= 3√9527) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.5743 × |
85743 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand seven hundred and forty-three |
| Binary (base 2) | 10100111011101111 |
| Octal (base 8) | 247357 |
| Hexadecimal (base 16) | 14EEF |
| Base 3 | 11100121200 |
| As time | 85743 seconds = 23 h 49 min 3 s |
Is 85743 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (85743 ÷ 3 = 28581) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (85743 ÷ 7 = 12249) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (85743 ÷ 9 = 9527) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 85743 a prime number?
No. 85743 = × 7 × 1361, so it is divisible by 3.
What are the factors of 85743?
1, 3, 7, 9, 21, 63, 1361, 4083, 9527, 12249, 28581, 85743.
What is 85743 in binary?
10100111011101111 (hexadecimal 14EEF, octal 247357).
What is the square root of 85743?
About 292.8191, exactly 3√9527.
Is 85743 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 85743?
It is a composite number with 12 divisors.