The number 13913
13913 is the 1645th prime number. Its only divisors are 1 and 13913.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13913: the 1645th prime number.
- 2
13913 is prime, so its only factors are 1 and 13913. It is the 1645th prime; the next prime is 13921 and the one before is 13907.
- 3
The divisors add up to 13914; without 13913 itself that is 1, so 13913 is deficient (1 is less than 13913). Euler's totient φ(13913) = 13912 numbers up to 13913 share no factor with it.
- 4
The digits of 13913 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 151 steps to reach 1.
13913 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13914 |
| Euler totient φ(n) | 13912 |
| Square | 193571569 |
| Cube | 2693161239497 |
| Square root | 117.953381 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3913 × |
13913 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and thirteen |
| Binary (base 2) | 11011001011001 |
| Octal (base 8) | 33131 |
| Hexadecimal (base 16) | 3659 |
| Base 3 | 201002022 |
| As time | 13913 seconds = 3 h 51 min 53 s |
Is 13913 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 1) | 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 9) | 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 13913 a prime number?
Yes. 13913 is divisible only by 1 and itself.
What are the factors of 13913?
1, 13913.
What is 13913 in binary?
11011001011001 (hexadecimal 3659, octal 33131).
What is the square root of 13913?
About 117.9534.
Is 13913 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13913?
13913 is the 1645th prime number.