The number 76771
76771 is the 7548th prime number. Its only divisors are 1 and 76771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76771: the 7548th prime number.
- 2
76771 is prime, so its only factors are 1 and 76771. It is the 7548th prime; the next prime is 76777 and the one before is 76757.
- 3
The divisors add up to 76772; without 76771 itself that is 1, so 76771 is deficient (1 is less than 76771). Euler's totient φ(76771) = 76770 numbers up to 76771 share no factor with it.
- 4
The digits of 76771 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
76771 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76772 |
| Euler totient φ(n) | 76770 |
| Square | 5893786441 |
| Cube | 452471878862011 |
| Square root | 277.075802 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6771 × |
76771 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and seventy-one |
| Binary (base 2) | 10010101111100011 |
| Octal (base 8) | 225743 |
| Hexadecimal (base 16) | 12BE3 |
| Base 3 | 10220022101 |
| As time | 76771 seconds = 21 h 19 min 31 s |
Is 76771 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 2) | 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 1) | 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 76771 a prime number?
Yes. 76771 is divisible only by 1 and itself.
What are the factors of 76771?
1, 76771.
What is 76771 in binary?
10010101111100011 (hexadecimal 12BE3, octal 225743).
What is the square root of 76771?
About 277.0758.
Is 76771 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 76771?
76771 is the 7548th prime number.