The number 23321
23321 is the 2600th prime number. Its only divisors are 1 and 23321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23321: the 2600th prime number.
- 2
23321 is prime, so its only factors are 1 and 23321. It is the 2600th prime; the next prime is 23327 and the one before is 23311.
- 3
The divisors add up to 23322; without 23321 itself that is 1, so 23321 is deficient (1 is less than 23321). Euler's totient φ(23321) = 23320 numbers up to 23321 share no factor with it.
- 4
The digits of 23321 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
23321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 23322 |
| Euler totient φ(n) | 23320 |
| Square | 543869041 |
| Cube | 12683569905161 |
| Square root | 152.712148 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3321 × |
23321 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and twenty-one |
| Binary (base 2) | 101101100011001 |
| Octal (base 8) | 55431 |
| Hexadecimal (base 16) | 5B19 |
| Base 3 | 1011222202 |
| As time | 23321 seconds = 6 h 28 min 41 s |
Is 23321 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 4) | 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 2) | 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 1) | 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 23321 a prime number?
Yes. 23321 is divisible only by 1 and itself.
What are the factors of 23321?
1, 23321.
What is 23321 in binary?
101101100011001 (hexadecimal 5B19, octal 55431).
What is the square root of 23321?
About 152.7121.
Is 23321 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 23321?
23321 is the 2600th prime number.