The number 24144
24144 is a composite number with 20 divisors. Its prime factorisation is × 3 × 503. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 503, 1006, 1509, 2012, 3018, 4024 … 24144.
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How to work it out
- 1
24144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24144 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 24144 itself that is 38352, so 24144 is abundant (38352 is more than 24144). Euler's totient φ(24144) = 8032 numbers up to 24144 share no factor with it.
- 4
The digits of 24144 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 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24144 = 2^{4} \times 3 \times 503 \]24144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 8032 |
| Square | 582932736 |
| Cube | 14074327977984 |
| Square root | 155.383397 (= 4√1509) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.4144 × |
24144 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and forty-four |
| Binary (base 2) | 101111001010000 |
| Octal (base 8) | 57120 |
| Hexadecimal (base 16) | 5E50 |
| Base 3 | 1020010020 |
| As time | 24144 seconds = 6 h 42 min 24 s |
Is 24144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24144 ÷ 2 = 12072) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24144 ÷ 3 = 8048) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24144 ÷ 4 = 6036) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24144 ÷ 6 = 4024) | 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 (24144 ÷ 8 = 3018) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24144 ÷ 12 = 2012) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24144 a prime number?
No. 24144 = × 3 × 503, so it is divisible by 2.
What are the factors of 24144?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 503, 1006, 1509, 2012, 3018, 4024, 6036, 8048, 12072, 24144.
What is 24144 in binary?
101111001010000 (hexadecimal 5E50, octal 57120).
What is the square root of 24144?
About 155.3834, exactly 4√1509.
Is 24144 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24144?
It is a composite number with 20 divisors.