The number 35201
35201 is the 3752nd prime number. Its only divisors are 1 and 35201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35201: the 3752nd prime number.
- 2
35201 is prime, so its only factors are 1 and 35201. It is the 3752nd prime; the next prime is 35221 and the one before is 35171.
- 3
The divisors add up to 35202; without 35201 itself that is 1, so 35201 is deficient (1 is less than 35201). Euler's totient φ(35201) = 35200 numbers up to 35201 share no factor with it.
- 4
The digits of 35201 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 142 steps to reach 1.
35201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35202 |
| Euler totient φ(n) | 35200 |
| Square | 1239110401 |
| Cube | 43617925225601 |
| Square root | 187.619295 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5201 × |
35201 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand two hundred and one |
| Binary (base 2) | 1000100110000001 |
| Octal (base 8) | 104601 |
| Hexadecimal (base 16) | 8981 |
| Base 3 | 1210021202 |
| As time | 35201 seconds = 9 h 46 min 41 s |
Is 35201 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 5) | 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 35201 a prime number?
Yes. 35201 is divisible only by 1 and itself.
What are the factors of 35201?
1, 35201.
What is 35201 in binary?
1000100110000001 (hexadecimal 8981, octal 104601).
What is the square root of 35201?
About 187.6193.
Is 35201 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 35201?
35201 is the 3752nd prime number.