The number 10771
10771 is the 1312th prime number. Its only divisors are 1 and 10771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10771: the 1312th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10771 is prime, so its only factors are 1 and 10771. It is the 1312th prime; the next prime is 10781 and the one before is 10753.
- 3
The divisors add up to 10772; without 10771 itself that is 1, so 10771 is deficient (1 is less than 10771). Euler's totient φ(10771) = 10770 numbers up to 10771 share no factor with it.
- 4
The digits of 10771 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
10771 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10772 |
| Euler totient φ(n) | 10770 |
| Square | 116014441 |
| Cube | 1249591544011 |
| Square root | 103.783428 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0771 × |
10771 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and seventy-one |
| Binary (base 2) | 10101000010011 |
| Octal (base 8) | 25023 |
| Hexadecimal (base 16) | 2A13 |
| Base 3 | 112202221 |
| As time | 10771 seconds = 2 h 59 min 31 s |
Is 10771 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 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10771 a prime number?
Yes. 10771 is divisible only by 1 and itself.
What are the factors of 10771?
1, 10771.
What is 10771 in binary?
10101000010011 (hexadecimal 2A13, octal 25023).
What is the square root of 10771?
About 103.7834.
Is 10771 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10771?
10771 is the 1312th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.