The number 24749
24749 is the 2738th prime number. Its only divisors are 1 and 24749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24749: the 2738th prime number.
- 2
24749 is prime, so its only factors are 1 and 24749. It is the 2738th prime; the next prime is 24763 and the one before is 24733.
- 3
The divisors add up to 24750; without 24749 itself that is 1, so 24749 is deficient (1 is less than 24749). Euler's totient φ(24749) = 24748 numbers up to 24749 share no factor with it.
- 4
The digits of 24749 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
24749 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24750 |
| Euler totient φ(n) | 24748 |
| Square | 612513001 |
| Cube | 15159084261749 |
| Square root | 157.318149 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4749 × |
24749 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and forty-nine |
| Binary (base 2) | 110000010101101 |
| Octal (base 8) | 60255 |
| Hexadecimal (base 16) | 60AD |
| Base 3 | 1020221122 |
| As time | 24749 seconds = 6 h 52 min 29 s |
Is 24749 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24749 a prime number?
Yes. 24749 is divisible only by 1 and itself.
What are the factors of 24749?
1, 24749.
What is 24749 in binary?
110000010101101 (hexadecimal 60AD, octal 60255).
What is the square root of 24749?
About 157.3181.
Is 24749 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 24749?
24749 is the 2738th prime number.