The number 88321
88321 is the 8564th prime number. Its only divisors are 1 and 88321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88321: the 8564th prime number.
- 2
88321 is prime, so its only factors are 1 and 88321. It is the 8564th prime; the next prime is 88327 and the one before is 88301.
- 3
The divisors add up to 88322; without 88321 itself that is 1, so 88321 is deficient (1 is less than 88321). Euler's totient φ(88321) = 88320 numbers up to 88321 share no factor with it.
- 4
The digits of 88321 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 164 steps to reach 1.
88321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 88322 |
| Euler totient φ(n) | 88320 |
| Square | 7800599041 |
| Cube | 688956707900161 |
| Square root | 297.188492 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.8321 × |
88321 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand three hundred and twenty-one |
| Binary (base 2) | 10101100100000001 |
| Octal (base 8) | 254401 |
| Hexadecimal (base 16) | 15901 |
| Base 3 | 11111011011 |
| As time | 88321 seconds = 24 h 32 min 1 s |
Is 88321 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 88321 a prime number?
Yes. 88321 is divisible only by 1 and itself.
What are the factors of 88321?
1, 88321.
What is 88321 in binary?
10101100100000001 (hexadecimal 15901, octal 254401).
What is the square root of 88321?
About 297.1885.
Is 88321 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 88321?
88321 is the 8564th prime number.