The number 87011
87011 is a twin prime (87011 and 87013 are both prime) and the 8451st prime number. Its only divisors are 1 and 87011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87011: a twin prime (87011 and 87013 are both prime); the 8451st prime number.
- 2
87011 is prime, so its only factors are 1 and 87011. It is the 8451st prime; the next prime is 87013 and the one before is 86993.
- 3
The divisors add up to 87012; without 87011 itself that is 1, so 87011 is deficient (1 is less than 87011). Euler's totient φ(87011) = 87010 numbers up to 87011 share no factor with it.
- 4
The digits of 87011 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
87011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87012 |
| Euler totient φ(n) | 87010 |
| Square | 7570914121 |
| Cube | 658752808582331 |
| Square root | 294.976270 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7011 × |
87011 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and eleven |
| Binary (base 2) | 10101001111100011 |
| Octal (base 8) | 251743 |
| Hexadecimal (base 16) | 153E3 |
| Base 3 | 11102100122 |
| As time | 87011 seconds = 24 h 10 min 11 s |
Is 87011 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 1) | 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 8) | 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 87011 a prime number?
Yes. 87011 is divisible only by 1 and itself.
What are the factors of 87011?
1, 87011.
What is 87011 in binary?
10101001111100011 (hexadecimal 153E3, octal 251743).
What is the square root of 87011?
About 294.9763.
Is 87011 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 87011?
87011 is a twin prime (87011 and 87013 are both prime); the 8451st prime number.