The number 10321
10321 is the 1266th prime number. Its only divisors are 1 and 10321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10321: the 1266th prime number.
- 2
10321 is prime, so its only factors are 1 and 10321. It is the 1266th prime; the next prime is 10331 and the one before is 10313.
- 3
The divisors add up to 10322; without 10321 itself that is 1, so 10321 is deficient (1 is less than 10321). Euler's totient φ(10321) = 10320 numbers up to 10321 share no factor with it.
- 4
The digits of 10321 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
10321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10322 |
| Euler totient φ(n) | 10320 |
| Square | 106523041 |
| Cube | 1099424306161 |
| Square root | 101.592323 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0321 × |
10321 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and twenty-one |
| Binary (base 2) | 10100001010001 |
| Octal (base 8) | 24121 |
| Hexadecimal (base 16) | 2851 |
| Base 3 | 112011021 |
| As time | 10321 seconds = 2 h 52 min 1 s |
Is 10321 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10321 a prime number?
Yes. 10321 is divisible only by 1 and itself.
What are the factors of 10321?
1, 10321.
What is 10321 in binary?
10100001010001 (hexadecimal 2851, octal 24121).
What is the square root of 10321?
About 101.5923.
Is 10321 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10321?
10321 is the 1266th prime number.