The number 24741
24741 is a composite number with 6 divisors. Its prime factorisation is × 2749. Divisors (6): 1, 3, 9, 2749, 8247, 24741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24741: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24741 is composite. Its prime factorisation is
- 3
The divisors add up to 35750; without 24741 itself that is 11009, so 24741 is deficient (11009 is less than 24741). Euler's totient φ(24741) = 16488 numbers up to 24741 share no factor with it.
- 4
The digits of 24741 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24741 = 3^{2} \times 2749 \]24741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 35750 |
| Euler totient φ(n) | 16488 |
| Square | 612117081 |
| Cube | 15144388701021 |
| Square root | 157.292721 (= 3√2749) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4741 × |
24741 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and forty-one |
| Binary (base 2) | 110000010100101 |
| Octal (base 8) | 60245 |
| Hexadecimal (base 16) | 60A5 |
| Base 3 | 1020221100 |
| As time | 24741 seconds = 6 h 52 min 21 s |
Is 24741 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 (24741 ÷ 3 = 8247) | 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 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24741 ÷ 9 = 2749) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 24741 a prime number?
No. 24741 = × 2749, so it is divisible by 3.
What are the factors of 24741?
1, 3, 9, 2749, 8247, 24741.
What is 24741 in binary?
110000010100101 (hexadecimal 60A5, octal 60245).
What is the square root of 24741?
About 157.2927, exactly 3√2749.
Is 24741 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24741?
24741 is a happy number: repeatedly adding the squares of its digits reaches 1.