The number 24825
24825 is a composite number with 12 divisors. Its prime factorisation is 3 × × 331. Divisors (12): 1, 3, 5, 15, 25, 75, 331, 993, 1655, 4965, 8275, 24825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24825 is composite. Its prime factorisation is
- 3
The divisors add up to 41168; without 24825 itself that is 16343, so 24825 is deficient (16343 is less than 24825). Euler's totient φ(24825) = 13200 numbers up to 24825 share no factor with it.
- 4
The digits of 24825 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24825 = 3 \times 5^{2} \times 331 \]24825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41168 |
| Euler totient φ(n) | 13200 |
| Square | 616280625 |
| Cube | 15299166515625 |
| Square root | 157.559513 (= 5√993) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4825 × |
24825 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and twenty-five |
| Binary (base 2) | 110000011111001 |
| Octal (base 8) | 60371 |
| Hexadecimal (base 16) | 60F9 |
| Base 3 | 1021001110 |
| As time | 24825 seconds = 6 h 53 min 45 s |
Is 24825 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24825 ÷ 3 = 8275) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24825 ÷ 5 = 4965) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24825 a prime number?
No. 24825 = 3 × × 331, so it is divisible by 3.
What are the factors of 24825?
1, 3, 5, 15, 25, 75, 331, 993, 1655, 4965, 8275, 24825.
What is 24825 in binary?
110000011111001 (hexadecimal 60F9, octal 60371).
What is the square root of 24825?
About 157.5595, exactly 5√993.
Is 24825 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24825?
It is a composite number with 12 divisors.