The number 9413
9413 is the 1164th prime number. Its only divisors are 1 and 9413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9413: the 1164th prime number.
- 2
9413 is prime, so its only factors are 1 and 9413. It is the 1164th prime; the next prime is 9419 and the one before is 9403.
- 3
The divisors add up to 9414; without 9413 itself that is 1, so 9413 is deficient (1 is less than 9413). Euler's totient φ(9413) = 9412 numbers up to 9413 share no factor with it.
- 4
The digits of 9413 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
9413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9414 |
| Euler totient φ(n) | 9412 |
| Square | 88604569 |
| Cube | 834034807997 |
| Square root | 97.020616 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.413 × |
9413 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and thirteen |
| Binary (base 2) | 10010011000101 |
| Octal (base 8) | 22305 |
| Hexadecimal (base 16) | 24C5 |
| Base 3 | 110220122 |
| As time | 9413 seconds = 2 h 36 min 53 s |
Is 9413 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 9413 a prime number?
Yes. 9413 is divisible only by 1 and itself.
What are the factors of 9413?
1, 9413.
What is 9413 in binary?
10010011000101 (hexadecimal 24C5, octal 22305).
What is the square root of 9413?
About 97.0206.
Is 9413 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 9413?
9413 is the 1164th prime number.