The number 35221
35221 is the 3753rd prime number. Its only divisors are 1 and 35221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35221: the 3753rd prime number.
- 2
35221 is prime, so its only factors are 1 and 35221. It is the 3753rd prime; the next prime is 35227 and the one before is 35201.
- 3
The divisors add up to 35222; without 35221 itself that is 1, so 35221 is deficient (1 is less than 35221). Euler's totient φ(35221) = 35220 numbers up to 35221 share no factor with it.
- 4
The digits of 35221 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 142 steps to reach 1.
35221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35222 |
| Euler totient φ(n) | 35220 |
| Square | 1240518841 |
| Cube | 43692314098861 |
| Square root | 187.672587 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5221 × |
35221 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand two hundred and twenty-one |
| Binary (base 2) | 1000100110010101 |
| Octal (base 8) | 104625 |
| Hexadecimal (base 16) | 8995 |
| Base 3 | 1210022111 |
| As time | 35221 seconds = 9 h 47 min 1 s |
Is 35221 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 4) | 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 5) | 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 10) | 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 35221 a prime number?
Yes. 35221 is divisible only by 1 and itself.
What are the factors of 35221?
1, 35221.
What is 35221 in binary?
1000100110010101 (hexadecimal 8995, octal 104625).
What is the square root of 35221?
About 187.6726.
Is 35221 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 35221?
35221 is the 3753rd prime number.