The number 16187
16187 is a twin prime (16187 and 16189 are both prime) and the 1881st prime number. Its only divisors are 1 and 16187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16187: a twin prime (16187 and 16189 are both prime); the 1881st prime number.
- 2
16187 is prime, so its only factors are 1 and 16187. It is the 1881st prime; the next prime is 16189 and the one before is 16183.
- 3
The divisors add up to 16188; without 16187 itself that is 1, so 16187 is deficient (1 is less than 16187). Euler's totient φ(16187) = 16186 numbers up to 16187 share no factor with it.
- 4
The digits of 16187 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 159 steps to reach 1.
16187 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16188 |
| Euler totient φ(n) | 16186 |
| Square | 262018969 |
| Cube | 4241301051203 |
| Square root | 127.228142 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6187 × |
16187 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and eighty-seven |
| Binary (base 2) | 11111100111011 |
| Octal (base 8) | 37473 |
| Hexadecimal (base 16) | 3F3B |
| Base 3 | 211012112 |
| As time | 16187 seconds = 4 h 29 min 47 s |
Is 16187 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 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 6) | 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 16187 a prime number?
Yes. 16187 is divisible only by 1 and itself.
What are the factors of 16187?
1, 16187.
What is 16187 in binary?
11111100111011 (hexadecimal 3F3B, octal 37473).
What is the square root of 16187?
About 127.2281.
Is 16187 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16187?
16187 is a twin prime (16187 and 16189 are both prime); the 1881st prime number.