The number 53201
53201 is the 5429th prime number. Its only divisors are 1 and 53201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53201: the 5429th prime number.
- 2
53201 is prime, so its only factors are 1 and 53201. It is the 5429th prime; the next prime is 53231 and the one before is 53197.
- 3
The divisors add up to 53202; without 53201 itself that is 1, so 53201 is deficient (1 is less than 53201). Euler's totient φ(53201) = 53200 numbers up to 53201 share no factor with it.
- 4
The digits of 53201 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 171 steps to reach 1.
53201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53202 |
| Euler totient φ(n) | 53200 |
| Square | 2830346401 |
| Cube | 150577258879601 |
| Square root | 230.653420 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.3201 × |
53201 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand two hundred and one |
| Binary (base 2) | 1100111111010001 |
| Octal (base 8) | 147721 |
| Hexadecimal (base 16) | CFD1 |
| Base 3 | 2200222102 |
| As time | 53201 seconds = 14 h 46 min 41 s |
Is 53201 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 1) | 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 5) | 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 53201 a prime number?
Yes. 53201 is divisible only by 1 and itself.
What are the factors of 53201?
1, 53201.
What is 53201 in binary?
1100111111010001 (hexadecimal CFD1, octal 147721).
What is the square root of 53201?
About 230.6534.
Is 53201 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 53201?
53201 is the 5429th prime number.