The number 3187
3187 is the 451st prime number. Its only divisors are 1 and 3187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3187: the 451st prime number.
- 2
3187 is prime, so its only factors are 1 and 3187. It is the 451st prime; the next prime is 3191 and the one before is 3181.
- 3
The divisors add up to 3188; without 3187 itself that is 1, so 3187 is deficient (1 is less than 3187). Euler's totient φ(3187) = 3186 numbers up to 3187 share no factor with it.
- 4
The digits of 3187 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
3187 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3188 |
| Euler totient φ(n) | 3186 |
| Square | 10156969 |
| Cube | 32370260203 |
| Square root | 56.453521 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.187 × |
3187 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and eighty-seven |
| Roman numerals | MMMCLXXXVII |
| Binary (base 2) | 110001110011 |
| Octal (base 8) | 6163 |
| Hexadecimal (base 16) | C73 |
| Base 3 | 11101001 |
| As time | 3187 seconds = 53 min 7 s |
Is 3187 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 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 1) | 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 8) | 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 3187 a prime number?
Yes. 3187 is divisible only by 1 and itself.
What are the factors of 3187?
1, 3187.
What is 3187 in binary?
110001110011 (hexadecimal C73, octal 6163).
What is the square root of 3187?
About 56.4535.
What is 3187 in Roman numerals?
MMMCLXXXVII.
Is 3187 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3187?
3187 is the 451st prime number.