The number 12771
12771 is a binary palindrome (11000111100011). Its prime factorisation is × 11 × 43. Divisors (16): 1, 3, 9, 11, 27, 33, 43, 99, 129, 297, 387, 473, 1161, 1419, 4257, 12771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12771: a binary palindrome (11000111100011).
- 2
12771 is composite. Its prime factorisation is
- 3
The divisors add up to 21120; without 12771 itself that is 8349, so 12771 is deficient (8349 is less than 12771). Euler's totient φ(12771) = 7560 numbers up to 12771 share no factor with it.
- 4
The digits of 12771 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12771 = 3^{3} \times 11 \times 43 \]12771 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21120 |
| Euler totient φ(n) | 7560 |
| Square | 163098441 |
| Cube | 2082930190011 |
| Square root | 113.008849 (= 3√1419) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2771 × |
12771 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and seventy-one |
| Binary (base 2) | 11000111100011 |
| Octal (base 8) | 30743 |
| Hexadecimal (base 16) | 31E3 |
| Base 3 | 122112000 |
| As time | 12771 seconds = 3 h 32 min 51 s |
Is 12771 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 | Yes (12771 ÷ 3 = 4257) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (12771 ÷ 9 = 1419) | 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 | Yes (12771 ÷ 11 = 1161) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12771 a prime number?
No. 12771 = × 11 × 43, so it is divisible by 3.
What are the factors of 12771?
1, 3, 9, 11, 27, 33, 43, 99, 129, 297, 387, 473, 1161, 1419, 4257, 12771.
What is 12771 in binary?
11000111100011 (hexadecimal 31E3, octal 30743).
What is the square root of 12771?
About 113.0088, exactly 3√1419.
Is 12771 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12771?
12771 is a binary palindrome (11000111100011).