The number 24824
24824 is a composite number with 16 divisors. Its prime factorisation is × 29 × 107. Divisors (16): 1, 2, 4, 8, 29, 58, 107, 116, 214, 232, 428, 856, 3103, 6206, 12412, 24824.
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How to work it out
- 1
24824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24824 is composite. Its prime factorisation is
- 3
The divisors add up to 48600; without 24824 itself that is 23776, so 24824 is deficient (23776 is less than 24824). Euler's totient φ(24824) = 11872 numbers up to 24824 share no factor with it.
- 4
The digits of 24824 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24824 = 2^{3} \times 29 \times 107 \]24824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48600 |
| Euler totient φ(n) | 11872 |
| Square | 616230976 |
| Cube | 15297317748224 |
| Square root | 157.556339 (= 2√6206) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4824 × |
24824 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and twenty-four |
| Binary (base 2) | 110000011111000 |
| Octal (base 8) | 60370 |
| Hexadecimal (base 16) | 60F8 |
| Base 3 | 1021001102 |
| As time | 24824 seconds = 6 h 53 min 44 s |
Is 24824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24824 ÷ 2 = 12412) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24824 ÷ 4 = 6206) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (24824 ÷ 8 = 3103) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24824 a prime number?
No. 24824 = × 29 × 107, so it is divisible by 2.
What are the factors of 24824?
1, 2, 4, 8, 29, 58, 107, 116, 214, 232, 428, 856, 3103, 6206, 12412, 24824.
What is 24824 in binary?
110000011111000 (hexadecimal 60F8, octal 60370).
What is the square root of 24824?
About 157.5563, exactly 2√6206.
Is 24824 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 24824?
It is a composite number with 16 divisors.