The number 24649
24649 is a perfect square (157²). Its prime factorisation is . Divisors (3): 1, 157, 24649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24649: a perfect square (157²); the square of a prime (157²).
- 2
24649 is composite. Its prime factorisation is
- 3
The divisors add up to 24807; without 24649 itself that is 158, so 24649 is deficient (158 is less than 24649). Euler's totient φ(24649) = 24492 numbers up to 24649 share no factor with it.
- 4
The digits of 24649 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24649 = 157^{2} \]24649 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 24807 |
| Euler totient φ(n) | 24492 |
| Square | 607573201 |
| Cube | 14976071831449 |
| Square root | 157 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4649 × |
| Perfect power |
24649 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand six hundred and forty-nine |
| Binary (base 2) | 110000001001001 |
| Octal (base 8) | 60111 |
| Hexadecimal (base 16) | 6049 |
| Base 3 | 1020210221 |
| As time | 24649 seconds = 6 h 50 min 49 s |
Is 24649 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 | No (remainder 4) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 9) | 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 24649 a prime number?
No. 24649 = , so it is divisible by 157.
What are the factors of 24649?
1, 157, 24649.
What is 24649 in binary?
110000001001001 (hexadecimal 6049, octal 60111).
What is the square root of 24649?
157, because 157 × 157 = 24649.
Is 24649 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 24649?
24649 is a perfect square (157²); the square of a prime (157²).