The number 24849
24849 is a composite number with 12 divisors. Its prime factorisation is × 11 × 251. Divisors (12): 1, 3, 9, 11, 33, 99, 251, 753, 2259, 2761, 8283, 24849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24849 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24849 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 24849 itself that is 14463, so 24849 is deficient (14463 is less than 24849). Euler's totient φ(24849) = 15000 numbers up to 24849 share no factor with it.
- 4
The digits of 24849 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24849 = 3^{2} \times 11 \times 251 \]24849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 39312 |
| Euler totient φ(n) | 15000 |
| Square | 617472801 |
| Cube | 15343581632049 |
| Square root | 157.635656 (= 3√2761) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4849 × |
24849 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and forty-nine |
| Binary (base 2) | 110000100010001 |
| Octal (base 8) | 60421 |
| Hexadecimal (base 16) | 6111 |
| Base 3 | 1021002100 |
| As time | 24849 seconds = 6 h 54 min 9 s |
Is 24849 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 (24849 ÷ 3 = 8283) | 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 4) | 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 6) | 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 | Yes (24849 ÷ 9 = 2761) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24849 ÷ 11 = 2259) | 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 24849 a prime number?
No. 24849 = × 11 × 251, so it is divisible by 3.
What are the factors of 24849?
1, 3, 9, 11, 33, 99, 251, 753, 2259, 2761, 8283, 24849.
What is 24849 in binary?
110000100010001 (hexadecimal 6111, octal 60421).
What is the square root of 24849?
About 157.6357, exactly 3√2761.
Is 24849 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 24849?
It is a composite number with 12 divisors.