The number 52201
52201 is the 5338th prime number. Its only divisors are 1 and 52201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52201: the 5338th prime number.
- 2
52201 is prime, so its only factors are 1 and 52201. It is the 5338th prime; the next prime is 52223 and the one before is 52189.
- 3
The divisors add up to 52202; without 52201 itself that is 1, so 52201 is deficient (1 is less than 52201). Euler's totient φ(52201) = 52200 numbers up to 52201 share no factor with it.
- 4
The digits of 52201 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
52201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52202 |
| Euler totient φ(n) | 52200 |
| Square | 2724944401 |
| Cube | 142244822676601 |
| Square root | 228.475382 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.2201 × |
52201 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand two hundred and one |
| Binary (base 2) | 1100101111101001 |
| Octal (base 8) | 145751 |
| Hexadecimal (base 16) | CBE9 |
| Base 3 | 2122121101 |
| As time | 52201 seconds = 14 h 30 min 1 s |
Is 52201 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 1) | 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 6) | 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 52201 a prime number?
Yes. 52201 is divisible only by 1 and itself.
What are the factors of 52201?
1, 52201.
What is 52201 in binary?
1100101111101001 (hexadecimal CBE9, octal 145751).
What is the square root of 52201?
About 228.4754.
Is 52201 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 52201?
52201 is the 5338th prime number.