The number 13807
13807 is the 1633rd prime number. Its only divisors are 1 and 13807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13807: the 1633rd prime number.
- 2
13807 is prime, so its only factors are 1 and 13807. It is the 1633rd prime; the next prime is 13829 and the one before is 13799.
- 3
The divisors add up to 13808; without 13807 itself that is 1, so 13807 is deficient (1 is less than 13807). Euler's totient φ(13807) = 13806 numbers up to 13807 share no factor with it.
- 4
The digits of 13807 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
13807 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13808 |
| Euler totient φ(n) | 13806 |
| Square | 190633249 |
| Cube | 2632073268943 |
| Square root | 117.503191 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3807 × |
13807 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and seven |
| Binary (base 2) | 11010111101111 |
| Octal (base 8) | 32757 |
| Hexadecimal (base 16) | 35EF |
| Base 3 | 200221101 |
| As time | 13807 seconds = 3 h 50 min 7 s |
Is 13807 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13807 a prime number?
Yes. 13807 is divisible only by 1 and itself.
What are the factors of 13807?
1, 13807.
What is 13807 in binary?
11010111101111 (hexadecimal 35EF, octal 32757).
What is the square root of 13807?
About 117.5032.
Is 13807 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13807?
13807 is the 1633rd prime number.