The number 24740
24740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1237. Divisors (12): 1, 2, 4, 5, 10, 20, 1237, 2474, 4948, 6185, 12370, 24740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24740 is composite. Its prime factorisation is
- 3
The divisors add up to 51996; without 24740 itself that is 27256, so 24740 is abundant (27256 is more than 24740). Euler's totient φ(24740) = 9888 numbers up to 24740 share no factor with it.
- 4
The digits of 24740 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24740 = 2^{2} \times 5 \times 1237 \]24740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51996 |
| Euler totient φ(n) | 9888 |
| Square | 612067600 |
| Cube | 15142552424000 |
| Square root | 157.289542 (= 2√6185) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.474 × |
24740 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and forty |
| Binary (base 2) | 110000010100100 |
| Octal (base 8) | 60244 |
| Hexadecimal (base 16) | 60A4 |
| Base 3 | 1020221022 |
| As time | 24740 seconds = 6 h 52 min 20 s |
Is 24740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24740 ÷ 2 = 12370) | 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 (24740 ÷ 4 = 6185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24740 ÷ 5 = 4948) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24740 ÷ 10 = 2474) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 24740 a prime number?
No. 24740 = × 5 × 1237, so it is divisible by 2.
What are the factors of 24740?
1, 2, 4, 5, 10, 20, 1237, 2474, 4948, 6185, 12370, 24740.
What is 24740 in binary?
110000010100100 (hexadecimal 60A4, octal 60244).
What is the square root of 24740?
About 157.2895, exactly 2√6185.
Is 24740 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24740?
It is a composite number with 12 divisors.