The number 87313
87313 is the 8478th prime number. Its only divisors are 1 and 87313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87313: the 8478th prime number.
- 2
87313 is prime, so its only factors are 1 and 87313. It is the 8478th prime; the next prime is 87317 and the one before is 87299.
- 3
The divisors add up to 87314; without 87313 itself that is 1, so 87313 is deficient (1 is less than 87313). Euler's totient φ(87313) = 87312 numbers up to 87313 share no factor with it.
- 4
The digits of 87313 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
87313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 87314 |
| Euler totient φ(n) | 87312 |
| Square | 7623559969 |
| Cube | 665635891573297 |
| Square root | 295.487732 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7313 × |
87313 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and thirteen |
| Binary (base 2) | 10101010100010001 |
| Octal (base 8) | 252421 |
| Hexadecimal (base 16) | 15511 |
| Base 3 | 11102202211 |
| As time | 87313 seconds = 24 h 15 min 13 s |
Is 87313 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 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 87313 a prime number?
Yes. 87313 is divisible only by 1 and itself.
What are the factors of 87313?
1, 87313.
What is 87313 in binary?
10101010100010001 (hexadecimal 15511, octal 252421).
What is the square root of 87313?
About 295.4877.
Is 87313 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87313?
87313 is the 8478th prime number.