The number 35771
35771 is the 3801st prime number. Its only divisors are 1 and 35771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35771: the 3801st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35771 is prime, so its only factors are 1 and 35771. It is the 3801st prime; the next prime is 35797 and the one before is 35759.
- 3
The divisors add up to 35772; without 35771 itself that is 1, so 35771 is deficient (1 is less than 35771). Euler's totient φ(35771) = 35770 numbers up to 35771 share no factor with it.
- 4
The digits of 35771 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
35771 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35772 |
| Euler totient φ(n) | 35770 |
| Square | 1279564441 |
| Cube | 45771299619011 |
| Square root | 189.132229 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5771 × |
35771 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and seventy-one |
| Binary (base 2) | 1000101110111011 |
| Octal (base 8) | 105673 |
| Hexadecimal (base 16) | 8BBB |
| Base 3 | 1211001212 |
| As time | 35771 seconds = 9 h 56 min 11 s |
Is 35771 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35771 a prime number?
Yes. 35771 is divisible only by 1 and itself.
What are the factors of 35771?
1, 35771.
What is 35771 in binary?
1000101110111011 (hexadecimal 8BBB, octal 105673).
What is the square root of 35771?
About 189.1322.
Is 35771 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 35771?
35771 is the 3801st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.