The number 16987
16987 is the 1959th prime number. Its only divisors are 1 and 16987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16987: the 1959th prime number.
- 2
16987 is prime, so its only factors are 1 and 16987. It is the 1959th prime; the next prime is 16993 and the one before is 16981.
- 3
The divisors add up to 16988; without 16987 itself that is 1, so 16987 is deficient (1 is less than 16987). Euler's totient φ(16987) = 16986 numbers up to 16987 share no factor with it.
- 4
The digits of 16987 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
16987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16988 |
| Euler totient φ(n) | 16986 |
| Square | 288558169 |
| Cube | 4901737616803 |
| Square root | 130.334186 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6987 × |
16987 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and eighty-seven |
| Binary (base 2) | 100001001011011 |
| Octal (base 8) | 41133 |
| Hexadecimal (base 16) | 425B |
| Base 3 | 212022011 |
| As time | 16987 seconds = 4 h 43 min 7 s |
Is 16987 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 5) | 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 3) | 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 16987 a prime number?
Yes. 16987 is divisible only by 1 and itself.
What are the factors of 16987?
1, 16987.
What is 16987 in binary?
100001001011011 (hexadecimal 425B, octal 41133).
What is the square root of 16987?
About 130.3342.
Is 16987 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 16987?
16987 is the 1959th prime number.