The number 9048
9048 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 29. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87 … 9048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9048 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 9048 itself that is 16152, so 9048 is abundant (16152 is more than 9048). Euler's totient φ(9048) = 2688 numbers up to 9048 share no factor with it.
- 4
The digits of 9048 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9048 = 2^{3} \times 3 \times 13 \times 29 \]9048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 2688 |
| Square | 81866304 |
| Cube | 740726318592 |
| Square root | 95.120976 (= 2√2262) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 9.048 × |
9048 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and forty-eight |
| Binary (base 2) | 10001101011000 |
| Octal (base 8) | 21530 |
| Hexadecimal (base 16) | 2358 |
| Base 3 | 110102010 |
| As time | 9048 seconds = 2 h 30 min 48 s |
Is 9048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9048 ÷ 2 = 4524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9048 ÷ 3 = 3016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9048 ÷ 4 = 2262) | 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 | Yes (9048 ÷ 6 = 1508) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (9048 ÷ 8 = 1131) | 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 8) | 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 | Yes (9048 ÷ 12 = 754) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9048 a prime number?
No. 9048 = × 3 × 13 × 29, so it is divisible by 2.
What are the factors of 9048?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048.
What is 9048 in binary?
10001101011000 (hexadecimal 2358, octal 21530).
What is the square root of 9048?
About 95.1210, exactly 2√2262.
Is 9048 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9048?
It is a composite number with 32 divisors.