The number 14107
14107 is the 1663rd prime number. Its only divisors are 1 and 14107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14107: the 1663rd prime number.
- 2
14107 is prime, so its only factors are 1 and 14107. It is the 1663rd prime; the next prime is 14143 and the one before is 14087.
- 3
The divisors add up to 14108; without 14107 itself that is 1, so 14107 is deficient (1 is less than 14107). Euler's totient φ(14107) = 14106 numbers up to 14107 share no factor with it.
- 4
The digits of 14107 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
14107 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14108 |
| Euler totient φ(n) | 14106 |
| Square | 199007449 |
| Cube | 2807398083043 |
| Square root | 118.772893 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4107 × |
14107 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and seven |
| Binary (base 2) | 11011100011011 |
| Octal (base 8) | 33433 |
| Hexadecimal (base 16) | 371B |
| Base 3 | 201100111 |
| As time | 14107 seconds = 3 h 55 min 7 s |
Is 14107 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 2) | 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 4) | 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 5) | 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 14107 a prime number?
Yes. 14107 is divisible only by 1 and itself.
What are the factors of 14107?
1, 14107.
What is 14107 in binary?
11011100011011 (hexadecimal 371B, octal 33433).
What is the square root of 14107?
About 118.7729.
Is 14107 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 14107?
14107 is the 1663rd prime number.