The number 13907
13907 is the 1644th prime number. Its only divisors are 1 and 13907.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13907: the 1644th prime number.
- 2
13907 is prime, so its only factors are 1 and 13907. It is the 1644th prime; the next prime is 13913 and the one before is 13903.
- 3
The divisors add up to 13908; without 13907 itself that is 1, so 13907 is deficient (1 is less than 13907). Euler's totient φ(13907) = 13906 numbers up to 13907 share no factor with it.
- 4
The digits of 13907 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
13907 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13908 |
| Euler totient φ(n) | 13906 |
| Square | 193404649 |
| Cube | 2689678453643 |
| Square root | 117.927944 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3907 × |
13907 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and seven |
| Binary (base 2) | 11011001010011 |
| Octal (base 8) | 33123 |
| Hexadecimal (base 16) | 3653 |
| Base 3 | 201002002 |
| As time | 13907 seconds = 3 h 51 min 47 s |
Is 13907 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13907 a prime number?
Yes. 13907 is divisible only by 1 and itself.
What are the factors of 13907?
1, 13907.
What is 13907 in binary?
11011001010011 (hexadecimal 3653, octal 33123).
What is the square root of 13907?
About 117.9279.
Is 13907 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13907?
13907 is the 1644th prime number.