The number 24048
24048 is a composite number with 30 divisors. Its prime factorisation is × × 167. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 167 … 24048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24048: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
24048 is composite. Its prime factorisation is
- 3
The divisors add up to 67704; without 24048 itself that is 43656, so 24048 is abundant (43656 is more than 24048). Euler's totient φ(24048) = 7968 numbers up to 24048 share no factor with it.
- 4
The digits of 24048 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24048 = 2^{4} \times 3^{2} \times 167 \]24048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 67704 |
| Euler totient φ(n) | 7968 |
| Square | 578306304 |
| Cube | 13907109998592 |
| Square root | 155.074176 (= 12√167) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.4048 × |
24048 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and forty-eight |
| Binary (base 2) | 101110111110000 |
| Octal (base 8) | 56760 |
| Hexadecimal (base 16) | 5DF0 |
| Base 3 | 1012222200 |
| As time | 24048 seconds = 6 h 40 min 48 s |
Is 24048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24048 ÷ 2 = 12024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24048 ÷ 3 = 8016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24048 ÷ 4 = 6012) | 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 (24048 ÷ 6 = 4008) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (24048 ÷ 8 = 3006) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24048 ÷ 9 = 2672) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24048 ÷ 12 = 2004) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24048 a prime number?
No. 24048 = × × 167, so it is divisible by 2.
What are the factors of 24048?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 167, 334, 501, 668, 1002, 1336, 1503, 2004, 2672, 3006, 4008, 6012, 8016, 12024, 24048.
What is 24048 in binary?
101110111110000 (hexadecimal 5DF0, octal 56760).
What is the square root of 24048?
About 155.0742, exactly 12√167.
Is 24048 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24048?
24048 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.