The number 24072
24072 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 59. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 59, 68, 102, 118, 136 … 24072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24072 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 24072 itself that is 40728, so 24072 is abundant (40728 is more than 24072). Euler's totient φ(24072) = 7424 numbers up to 24072 share no factor with it.
- 4
The digits of 24072 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24072 = 2^{3} \times 3 \times 17 \times 59 \]24072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 7424 |
| Square | 579461184 |
| Cube | 13948789621248 |
| Square root | 155.151539 (= 2√6018) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4072 × |
24072 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and seventy-two |
| Binary (base 2) | 101111000001000 |
| Octal (base 8) | 57010 |
| Hexadecimal (base 16) | 5E08 |
| Base 3 | 1020000120 |
| As time | 24072 seconds = 6 h 41 min 12 s |
Is 24072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24072 ÷ 2 = 12036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24072 ÷ 3 = 8024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24072 ÷ 4 = 6018) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24072 ÷ 6 = 4012) | 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 | Yes (24072 ÷ 8 = 3009) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24072 ÷ 12 = 2006) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24072 a prime number?
No. 24072 = × 3 × 17 × 59, so it is divisible by 2.
What are the factors of 24072?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 59, 68, 102, 118, 136, 177, 204, 236, 354, 408, 472, 708, 1003, 1416, 2006, 3009, 4012, 6018, 8024, 12036, 24072.
What is 24072 in binary?
101111000001000 (hexadecimal 5E08, octal 57010).
What is the square root of 24072?
About 155.1515, exactly 2√6018.
Is 24072 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24072?
It is a composite number with 32 divisors.