The number 52321
52321 is the 5349th prime number. Its only divisors are 1 and 52321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52321: the 5349th prime number.
- 2
52321 is prime, so its only factors are 1 and 52321. It is the 5349th prime; the next prime is 52361 and the one before is 52313.
- 3
The divisors add up to 52322; without 52321 itself that is 1, so 52321 is deficient (1 is less than 52321). Euler's totient φ(52321) = 52320 numbers up to 52321 share no factor with it.
- 4
The digits of 52321 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
52321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52322 |
| Euler totient φ(n) | 52320 |
| Square | 2737487041 |
| Cube | 143228059472161 |
| Square root | 228.737841 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2321 × |
52321 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand three hundred and twenty-one |
| Binary (base 2) | 1100110001100001 |
| Octal (base 8) | 146141 |
| Hexadecimal (base 16) | CC61 |
| Base 3 | 2122202211 |
| As time | 52321 seconds = 14 h 32 min 1 s |
Is 52321 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 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 5) | 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 52321 a prime number?
Yes. 52321 is divisible only by 1 and itself.
What are the factors of 52321?
1, 52321.
What is 52321 in binary?
1100110001100001 (hexadecimal CC61, octal 146141).
What is the square root of 52321?
About 228.7378.
Is 52321 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 52321?
52321 is the 5349th prime number.