The number 87671
87671 is the 8513th prime number. Its only divisors are 1 and 87671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87671: the 8513th prime number.
- 2
87671 is prime, so its only factors are 1 and 87671. It is the 8513th prime; the next prime is 87679 and the one before is 87649.
- 3
The divisors add up to 87672; without 87671 itself that is 1, so 87671 is deficient (1 is less than 87671). Euler's totient φ(87671) = 87670 numbers up to 87671 share no factor with it.
- 4
The digits of 87671 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
87671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87672 |
| Euler totient φ(n) | 87670 |
| Square | 7686204241 |
| Cube | 673857212012711 |
| Square root | 296.092891 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7671 × |
87671 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and seventy-one |
| Binary (base 2) | 10101011001110111 |
| Octal (base 8) | 253167 |
| Hexadecimal (base 16) | 15677 |
| Base 3 | 11110021002 |
| As time | 87671 seconds = 24 h 21 min 11 s |
Is 87671 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87671 a prime number?
Yes. 87671 is divisible only by 1 and itself.
What are the factors of 87671?
1, 87671.
What is 87671 in binary?
10101011001110111 (hexadecimal 15677, octal 253167).
What is the square root of 87671?
About 296.0929.
Is 87671 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 87671?
87671 is the 8513th prime number.