The number 24413
24413 is the 2710th prime number. Its only divisors are 1 and 24413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24413: the 2710th prime number.
- 2
24413 is prime, so its only factors are 1 and 24413. It is the 2710th prime; the next prime is 24419 and the one before is 24407.
- 3
The divisors add up to 24414; without 24413 itself that is 1, so 24413 is deficient (1 is less than 24413). Euler's totient φ(24413) = 24412 numbers up to 24413 share no factor with it.
- 4
The digits of 24413 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
24413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24414 |
| Euler totient φ(n) | 24412 |
| Square | 595994569 |
| Cube | 14550015412997 |
| Square root | 156.246600 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4413 × |
24413 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and thirteen |
| Binary (base 2) | 101111101011101 |
| Octal (base 8) | 57535 |
| Hexadecimal (base 16) | 5F5D |
| Base 3 | 1020111012 |
| As time | 24413 seconds = 6 h 46 min 53 s |
Is 24413 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 24413 a prime number?
Yes. 24413 is divisible only by 1 and itself.
What are the factors of 24413?
1, 24413.
What is 24413 in binary?
101111101011101 (hexadecimal 5F5D, octal 57535).
What is the square root of 24413?
About 156.2466.
Is 24413 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 24413?
24413 is the 2710th prime number.