The number 14387
14387 is a twin prime (14387 and 14389 are both prime) and the 1685th prime number. Its only divisors are 1 and 14387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14387: a twin prime (14387 and 14389 are both prime); the 1685th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14387 is prime, so its only factors are 1 and 14387. It is the 1685th prime; the next prime is 14389 and the one before is 14369.
- 3
The divisors add up to 14388; without 14387 itself that is 1, so 14387 is deficient (1 is less than 14387). Euler's totient φ(14387) = 14386 numbers up to 14387 share no factor with it.
- 4
The digits of 14387 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
14387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14388 |
| Euler totient φ(n) | 14386 |
| Square | 206985769 |
| Cube | 2977904258603 |
| Square root | 119.945821 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.4387 × |
14387 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand three hundred and eighty-seven |
| Binary (base 2) | 11100000110011 |
| Octal (base 8) | 34063 |
| Hexadecimal (base 16) | 3833 |
| Base 3 | 201201212 |
| As time | 14387 seconds = 3 h 59 min 47 s |
Is 14387 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 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 5) | 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 10) | 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 14387 a prime number?
Yes. 14387 is divisible only by 1 and itself.
What are the factors of 14387?
1, 14387.
What is 14387 in binary?
11100000110011 (hexadecimal 3833, octal 34063).
What is the square root of 14387?
About 119.9458.
Is 14387 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 14387?
14387 is a twin prime (14387 and 14389 are both prime); the 1685th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.