The number 9246
9246 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 67. Divisors (16): 1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9246 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9246 is composite. Its prime factorisation is
- 3
The divisors add up to 19584; without 9246 itself that is 10338, so 9246 is abundant (10338 is more than 9246). Euler's totient φ(9246) = 2904 numbers up to 9246 share no factor with it.
- 4
The digits of 9246 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9246 = 2 \times 3 \times 23 \times 67 \]
9246 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19584 |
| Euler totient φ(n) | 2904 |
| Square | 85488516 |
| Cube | 790426818936 |
| Square root | 96.156123 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.246 × |
9246 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred and forty-six |
| Binary (base 2) | 10010000011110 |
| Octal (base 8) | 22036 |
| Hexadecimal (base 16) | 241E |
| Base 3 | 110200110 |
| As time | 9246 seconds = 2 h 34 min 6 s |
Is 9246 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9246 ÷ 2 = 4623) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9246 ÷ 3 = 3082) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9246 ÷ 6 = 1541) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9246 a prime number?
No. 9246 = 2 × 3 × 23 × 67, so it is divisible by 2.
What are the factors of 9246?
1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246.
What is 9246 in binary?
10010000011110 (hexadecimal 241E, octal 22036).
What is the square root of 9246?
About 96.1561.
Is 9246 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9246?
It is a composite number with 16 divisors.