The number 98321
98321 is a twin prime (98321 and 98323 are both prime) and the 9441st prime number. Its only divisors are 1 and 98321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98321: a twin prime (98321 and 98323 are both prime); the 9441st prime number.
- 2
98321 is prime, so its only factors are 1 and 98321. It is the 9441st prime; the next prime is 98323 and the one before is 98317.
- 3
The divisors add up to 98322; without 98321 itself that is 1, so 98321 is deficient (1 is less than 98321). Euler's totient φ(98321) = 98320 numbers up to 98321 share no factor with it.
- 4
The digits of 98321 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
98321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98322 |
| Euler totient φ(n) | 98320 |
| Square | 9667019041 |
| Cube | 950470979130161 |
| Square root | 313.561796 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.8321 × |
98321 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand three hundred and twenty-one |
| Binary (base 2) | 11000000000010001 |
| Octal (base 8) | 300021 |
| Hexadecimal (base 16) | 18011 |
| Base 3 | 11222212112 |
| As time | 98321 seconds = 27 h 18 min 41 s |
Is 98321 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98321 a prime number?
Yes. 98321 is divisible only by 1 and itself.
What are the factors of 98321?
1, 98321.
What is 98321 in binary?
11000000000010001 (hexadecimal 18011, octal 300021).
What is the square root of 98321?
About 313.5618.
Is 98321 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 98321?
98321 is a twin prime (98321 and 98323 are both prime); the 9441st prime number.