The number 24744
24744 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1031. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1031, 2062, 3093, 4124, 6186, 8248, 12372, 24744.
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How to work it out
- 1
24744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24744 is composite. Its prime factorisation is
- 3
The divisors add up to 61920; without 24744 itself that is 37176, so 24744 is abundant (37176 is more than 24744). Euler's totient φ(24744) = 8240 numbers up to 24744 share no factor with it.
- 4
The digits of 24744 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24744 = 2^{3} \times 3 \times 1031 \]24744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61920 |
| Euler totient φ(n) | 8240 |
| Square | 612265536 |
| Cube | 15149898422784 |
| Square root | 157.302257 (= 2√6186) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.4744 × |
24744 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and forty-four |
| Binary (base 2) | 110000010101000 |
| Octal (base 8) | 60250 |
| Hexadecimal (base 16) | 60A8 |
| Base 3 | 1020221110 |
| As time | 24744 seconds = 6 h 52 min 24 s |
Is 24744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24744 ÷ 2 = 12372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24744 ÷ 3 = 8248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24744 ÷ 4 = 6186) | 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 (24744 ÷ 6 = 4124) | 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 (24744 ÷ 8 = 3093) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24744 ÷ 12 = 2062) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24744 a prime number?
No. 24744 = × 3 × 1031, so it is divisible by 2.
What are the factors of 24744?
1, 2, 3, 4, 6, 8, 12, 24, 1031, 2062, 3093, 4124, 6186, 8248, 12372, 24744.
What is 24744 in binary?
110000010101000 (hexadecimal 60A8, octal 60250).
What is the square root of 24744?
About 157.3023, exactly 2√6186.
Is 24744 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24744?
It is a composite number with 16 divisors.