The number 87187
87187 is the 8467th prime number. Its only divisors are 1 and 87187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87187: the 8467th prime number.
- 2
87187 is prime, so its only factors are 1 and 87187. It is the 8467th prime; the next prime is 87211 and the one before is 87181.
- 3
The divisors add up to 87188; without 87187 itself that is 1, so 87187 is deficient (1 is less than 87187). Euler's totient φ(87187) = 87186 numbers up to 87187 share no factor with it.
- 4
The digits of 87187 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 164 steps to reach 1.
87187 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87188 |
| Euler totient φ(n) | 87186 |
| Square | 7601572969 |
| Cube | 662758342448203 |
| Square root | 295.274449 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7187 × |
87187 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and eighty-seven |
| Binary (base 2) | 10101010010010011 |
| Octal (base 8) | 252223 |
| Hexadecimal (base 16) | 15493 |
| Base 3 | 11102121011 |
| As time | 87187 seconds = 24 h 13 min 7 s |
Is 87187 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 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 1) | 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 87187 a prime number?
Yes. 87187 is divisible only by 1 and itself.
What are the factors of 87187?
1, 87187.
What is 87187 in binary?
10101010010010011 (hexadecimal 15493, octal 252223).
What is the square root of 87187?
About 295.2744.
Is 87187 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 87187?
87187 is the 8467th prime number.