The number 17387
17387 is a twin prime (17387 and 17389 are both prime) and the 1999th prime number. Its only divisors are 1 and 17387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17387: a twin prime (17387 and 17389 are both prime); the 1999th prime number.
- 2
17387 is prime, so its only factors are 1 and 17387. It is the 1999th prime; the next prime is 17389 and the one before is 17383.
- 3
The divisors add up to 17388; without 17387 itself that is 1, so 17387 is deficient (1 is less than 17387). Euler's totient φ(17387) = 17386 numbers up to 17387 share no factor with it.
- 4
The digits of 17387 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
17387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17388 |
| Euler totient φ(n) | 17386 |
| Square | 302307769 |
| Cube | 5256225179603 |
| Square root | 131.859774 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.7387 × |
17387 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and eighty-seven |
| Binary (base 2) | 100001111101011 |
| Octal (base 8) | 41753 |
| Hexadecimal (base 16) | 43EB |
| Base 3 | 212211222 |
| As time | 17387 seconds = 4 h 49 min 47 s |
Is 17387 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 6) | 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 8) | 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 17387 a prime number?
Yes. 17387 is divisible only by 1 and itself.
What are the factors of 17387?
1, 17387.
What is 17387 in binary?
100001111101011 (hexadecimal 43EB, octal 41753).
What is the square root of 17387?
About 131.8598.
Is 17387 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 17387?
17387 is a twin prime (17387 and 17389 are both prime); the 1999th prime number.