The number 9782
9782 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 73. Divisors (8): 1, 2, 67, 73, 134, 146, 4891, 9782.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9782 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9782 is composite. Its prime factorisation is
- 3
The divisors add up to 15096; without 9782 itself that is 5314, so 9782 is deficient (5314 is less than 9782). Euler's totient φ(9782) = 4752 numbers up to 9782 share no factor with it.
- 4
The digits of 9782 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9782 = 2 \times 67 \times 73 \]
9782 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15096 |
| Euler totient φ(n) | 4752 |
| Square | 95687524 |
| Cube | 936015359768 |
| Square root | 98.903994 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 179 |
| Scientific notation | 9.782 × |
9782 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and eighty-two |
| Binary (base 2) | 10011000110110 |
| Octal (base 8) | 23066 |
| Hexadecimal (base 16) | 2636 |
| Base 3 | 111102022 |
| As time | 9782 seconds = 2 h 43 min 2 s |
Is 9782 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9782 ÷ 2 = 4891) | 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 3) | 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 3) | 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 9782 a prime number?
No. 9782 = 2 × 67 × 73, so it is divisible by 2.
What are the factors of 9782?
1, 2, 67, 73, 134, 146, 4891, 9782.
What is 9782 in binary?
10011000110110 (hexadecimal 2636, octal 23066).
What is the square root of 9782?
About 98.9040.
Is 9782 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9782?
It is a composite number with 8 divisors.