The number 13613
13613 is the 1609th prime number. Its only divisors are 1 and 13613.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13613: the 1609th prime number.
- 2
13613 is prime, so its only factors are 1 and 13613. It is the 1609th prime; the next prime is 13619 and the one before is 13597.
- 3
The divisors add up to 13614; without 13613 itself that is 1, so 13613 is deficient (1 is less than 13613). Euler's totient φ(13613) = 13612 numbers up to 13613 share no factor with it.
- 4
The digits of 13613 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 63 steps to reach 1.
13613 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13614 |
| Euler totient φ(n) | 13612 |
| Square | 185313769 |
| Cube | 2522676337397 |
| Square root | 116.674762 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3613 × |
13613 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and thirteen |
| Binary (base 2) | 11010100101101 |
| Octal (base 8) | 32455 |
| Hexadecimal (base 16) | 352D |
| Base 3 | 200200012 |
| As time | 13613 seconds = 3 h 46 min 53 s |
Is 13613 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 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 6) | 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 13613 a prime number?
Yes. 13613 is divisible only by 1 and itself.
What are the factors of 13613?
1, 13613.
What is 13613 in binary?
11010100101101 (hexadecimal 352D, octal 32455).
What is the square root of 13613?
About 116.6748.
Is 13613 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13613?
13613 is the 1609th prime number.