The number 9249
9249 is a composite number with 4 divisors. Its prime factorisation is 3 × 3083. Divisors (4): 1, 3, 3083, 9249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9249: a semiprime: 3 × 3083, the product of two primes.
- 2
9249 is composite. Its prime factorisation is
- 3
The divisors add up to 12336; without 9249 itself that is 3087, so 9249 is deficient (3087 is less than 9249). Euler's totient φ(9249) = 6164 numbers up to 9249 share no factor with it.
- 4
The digits of 9249 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9249 = 3 \times 3083 \]
9249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12336 |
| Euler totient φ(n) | 6164 |
| Square | 85544001 |
| Cube | 791196465249 |
| Square root | 96.171721 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 184 |
| Scientific notation | 9.249 × |
9249 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred and forty-nine |
| Binary (base 2) | 10010000100001 |
| Octal (base 8) | 22041 |
| Hexadecimal (base 16) | 2421 |
| Base 3 | 110200120 |
| As time | 9249 seconds = 2 h 34 min 9 s |
Is 9249 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 (9249 ÷ 3 = 3083) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9249 a prime number?
No. 9249 = 3 × 3083, so it is divisible by 3.
What are the factors of 9249?
1, 3, 3083, 9249.
What is 9249 in binary?
10010000100001 (hexadecimal 2421, octal 22041).
What is the square root of 9249?
About 96.1717.
Is 9249 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9249?
9249 is a semiprime: 3 × 3083, the product of two primes.