The number 87013
87013 is a twin prime (87011 and 87013 are both prime) and the 8452nd prime number. Its only divisors are 1 and 87013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87013: a twin prime (87011 and 87013 are both prime); the 8452nd prime number.
- 2
87013 is prime, so its only factors are 1 and 87013. It is the 8452nd prime; the next prime is 87037 and the one before is 87011.
- 3
The divisors add up to 87014; without 87013 itself that is 1, so 87013 is deficient (1 is less than 87013). Euler's totient φ(87013) = 87012 numbers up to 87013 share no factor with it.
- 4
The digits of 87013 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 120 steps to reach 1.
87013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87014 |
| Euler totient φ(n) | 87012 |
| Square | 7571262169 |
| Cube | 658798235111197 |
| Square root | 294.979660 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7013 × |
87013 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and thirteen |
| Binary (base 2) | 10101001111100101 |
| Octal (base 8) | 251745 |
| Hexadecimal (base 16) | 153E5 |
| Base 3 | 11102100201 |
| As time | 87013 seconds = 24 h 10 min 13 s |
Is 87013 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87013 a prime number?
Yes. 87013 is divisible only by 1 and itself.
What are the factors of 87013?
1, 87013.
What is 87013 in binary?
10101001111100101 (hexadecimal 153E5, octal 251745).
What is the square root of 87013?
About 294.9797.
Is 87013 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 87013?
87013 is a twin prime (87011 and 87013 are both prime); the 8452nd prime number.