The number 62201
62201 is the 6252nd prime number. Its only divisors are 1 and 62201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62201: the 6252nd prime number.
- 2
62201 is prime, so its only factors are 1 and 62201. It is the 6252nd prime; the next prime is 62207 and the one before is 62191.
- 3
The divisors add up to 62202; without 62201 itself that is 1, so 62201 is deficient (1 is less than 62201). Euler's totient φ(62201) = 62200 numbers up to 62201 share no factor with it.
- 4
The digits of 62201 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 148 steps to reach 1.
62201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 62202 |
| Euler totient φ(n) | 62200 |
| Square | 3868964401 |
| Cube | 240653454706601 |
| Square root | 249.401283 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.2201 × |
62201 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand two hundred and one |
| Binary (base 2) | 1111001011111001 |
| Octal (base 8) | 171371 |
| Hexadecimal (base 16) | F2F9 |
| Base 3 | 10011022202 |
| As time | 62201 seconds = 17 h 16 min 41 s |
Is 62201 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 6) | 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 7) | 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 62201 a prime number?
Yes. 62201 is divisible only by 1 and itself.
What are the factors of 62201?
1, 62201.
What is 62201 in binary?
1111001011111001 (hexadecimal F2F9, octal 171371).
What is the square root of 62201?
About 249.4013.
Is 62201 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 62201?
62201 is the 6252nd prime number.