The number 12048
12048 is a composite number with 20 divisors. Its prime factorisation is × 3 × 251. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 251, 502, 753, 1004, 1506, 2008 … 12048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12048 is composite. Its prime factorisation is
- 3
The divisors add up to 31248; without 12048 itself that is 19200, so 12048 is abundant (19200 is more than 12048). Euler's totient φ(12048) = 4000 numbers up to 12048 share no factor with it.
- 4
The digits of 12048 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12048 = 2^{4} \times 3 \times 251 \]12048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 31248 |
| Euler totient φ(n) | 4000 |
| Square | 145154304 |
| Cube | 1748819054592 |
| Square root | 109.763382 (= 4√753) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 24 |
| Scientific notation | 1.2048 × |
12048 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and forty-eight |
| Binary (base 2) | 10111100010000 |
| Octal (base 8) | 27420 |
| Hexadecimal (base 16) | 2F10 |
| Base 3 | 121112020 |
| As time | 12048 seconds = 3 h 20 min 48 s |
Is 12048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12048 ÷ 2 = 6024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12048 ÷ 3 = 4016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12048 ÷ 4 = 3012) | 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 (12048 ÷ 6 = 2008) | 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 (12048 ÷ 8 = 1506) | 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 8) | 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 | Yes (12048 ÷ 12 = 1004) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12048 a prime number?
No. 12048 = × 3 × 251, so it is divisible by 2.
What are the factors of 12048?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 251, 502, 753, 1004, 1506, 2008, 3012, 4016, 6024, 12048.
What is 12048 in binary?
10111100010000 (hexadecimal 2F10, octal 27420).
What is the square root of 12048?
About 109.7634, exactly 4√753.
Is 12048 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 12048?
It is a composite number with 20 divisors.