The number 24745
24745 is a composite number with 12 divisors. Its prime factorisation is 5 × × 101. Divisors (12): 1, 5, 7, 35, 49, 101, 245, 505, 707, 3535, 4949, 24745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24745 is composite. Its prime factorisation is
- 3
The divisors add up to 34884; without 24745 itself that is 10139, so 24745 is deficient (10139 is less than 24745). Euler's totient φ(24745) = 16800 numbers up to 24745 share no factor with it.
- 4
The digits of 24745 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24745 = 5 \times 7^{2} \times 101 \]24745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34884 |
| Euler totient φ(n) | 16800 |
| Square | 612315025 |
| Cube | 15151735293625 |
| Square root | 157.305435 (= 7√505) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.4745 × |
24745 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and forty-five |
| Binary (base 2) | 110000010101001 |
| Octal (base 8) | 60251 |
| Hexadecimal (base 16) | 60A9 |
| Base 3 | 1020221111 |
| As time | 24745 seconds = 6 h 52 min 25 s |
Is 24745 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 | No (remainder 1) | 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 (24745 ÷ 5 = 4949) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24745 ÷ 7 = 3535) | 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 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24745 a prime number?
No. 24745 = 5 × × 101, so it is divisible by 5.
What are the factors of 24745?
1, 5, 7, 35, 49, 101, 245, 505, 707, 3535, 4949, 24745.
What is 24745 in binary?
110000010101001 (hexadecimal 60A9, octal 60251).
What is the square root of 24745?
About 157.3054, exactly 7√505.
Is 24745 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 24745?
It is a composite number with 12 divisors.