The number 13313
13313 is the 1581st prime number. Its only divisors are 1 and 13313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13313: the 1581st prime number.
- 2
13313 is prime, so its only factors are 1 and 13313. It is the 1581st prime; the next prime is 13327 and the one before is 13309.
- 3
The divisors add up to 13314; without 13313 itself that is 1, so 13313 is deficient (1 is less than 13313). Euler's totient φ(13313) = 13312 numbers up to 13313 share no factor with it.
- 4
The digits of 13313 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
13313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13314 |
| Euler totient φ(n) | 13312 |
| Square | 177235969 |
| Cube | 2359542455297 |
| Square root | 115.381974 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3313 × |
13313 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirteen |
| Binary (base 2) | 11010000000001 |
| Octal (base 8) | 32001 |
| Hexadecimal (base 16) | 3401 |
| Base 3 | 200021002 |
| As time | 13313 seconds = 3 h 41 min 53 s |
Is 13313 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 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 | No (remainder 2) | 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 3) | 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 13313 a prime number?
Yes. 13313 is divisible only by 1 and itself.
What are the factors of 13313?
1, 13313.
What is 13313 in binary?
11010000000001 (hexadecimal 3401, octal 32001).
What is the square root of 13313?
About 115.3820.
Is 13313 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13313?
13313 is the 1581st prime number.