The number 14087
14087 is the 1662nd prime number. Its only divisors are 1 and 14087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14087: the 1662nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14087 is prime, so its only factors are 1 and 14087. It is the 1662nd prime; the next prime is 14107 and the one before is 14083.
- 3
The divisors add up to 14088; without 14087 itself that is 1, so 14087 is deficient (1 is less than 14087). Euler's totient φ(14087) = 14086 numbers up to 14087 share no factor with it.
- 4
The digits of 14087 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 58 steps to reach 1.
14087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14088 |
| Euler totient φ(n) | 14086 |
| Square | 198443569 |
| Cube | 2795474556503 |
| Square root | 118.688668 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4087 × |
14087 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and eighty-seven |
| Binary (base 2) | 11011100000111 |
| Octal (base 8) | 33407 |
| Hexadecimal (base 16) | 3707 |
| Base 3 | 201022202 |
| As time | 14087 seconds = 3 h 54 min 47 s |
Is 14087 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 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 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 7) | 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 14087 a prime number?
Yes. 14087 is divisible only by 1 and itself.
What are the factors of 14087?
1, 14087.
What is 14087 in binary?
11011100000111 (hexadecimal 3707, octal 33407).
What is the square root of 14087?
About 118.6887.
Is 14087 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 14087?
14087 is the 1662nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.