The number 9248
9248 is a composite number with 18 divisors. Its prime factorisation is × . Divisors (18): 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312 … 9248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9248 is composite. Its prime factorisation is
- 3
The divisors add up to 19341; without 9248 itself that is 10093, so 9248 is abundant (10093 is more than 9248). Euler's totient φ(9248) = 4352 numbers up to 9248 share no factor with it.
- 4
The digits of 9248 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9248 = 2^{5} \times 17^{2} \]9248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 19341 |
| Euler totient φ(n) | 4352 |
| Square | 85525504 |
| Cube | 790939860992 |
| Square root | 96.166522 (= 68√2) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.248 × |
9248 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred and forty-eight |
| Binary (base 2) | 10010000100000 |
| Octal (base 8) | 22040 |
| Hexadecimal (base 16) | 2420 |
| Base 3 | 110200112 |
| As time | 9248 seconds = 2 h 34 min 8 s |
Is 9248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9248 ÷ 2 = 4624) | 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 | Yes (9248 ÷ 4 = 2312) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (9248 ÷ 8 = 1156) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9248 a prime number?
No. 9248 = × , so it is divisible by 2.
What are the factors of 9248?
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248.
What is 9248 in binary?
10010000100000 (hexadecimal 2420, octal 22040).
What is the square root of 9248?
About 96.1665, exactly 68√2.
Is 9248 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9248?
It is a composite number with 18 divisors.