The number 12772
12772 is a composite number with 12 divisors. Its prime factorisation is × 31 × 103. Divisors (12): 1, 2, 4, 31, 62, 103, 124, 206, 412, 3193, 6386, 12772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12772 is composite. Its prime factorisation is
- 3
The divisors add up to 23296; without 12772 itself that is 10524, so 12772 is deficient (10524 is less than 12772). Euler's totient φ(12772) = 6120 numbers up to 12772 share no factor with it.
- 4
The digits of 12772 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12772 = 2^{2} \times 31 \times 103 \]12772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23296 |
| Euler totient φ(n) | 6120 |
| Square | 163123984 |
| Cube | 2083419523648 |
| Square root | 113.013274 (= 2√3193) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.2772 × |
12772 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and seventy-two |
| Binary (base 2) | 11000111100100 |
| Octal (base 8) | 30744 |
| Hexadecimal (base 16) | 31E4 |
| Base 3 | 122112001 |
| As time | 12772 seconds = 3 h 32 min 52 s |
Is 12772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12772 ÷ 2 = 6386) | 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 | Yes (12772 ÷ 4 = 3193) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12772 a prime number?
No. 12772 = × 31 × 103, so it is divisible by 2.
What are the factors of 12772?
1, 2, 4, 31, 62, 103, 124, 206, 412, 3193, 6386, 12772.
What is 12772 in binary?
11000111100100 (hexadecimal 31E4, octal 30744).
What is the square root of 12772?
About 113.0133, exactly 2√3193.
Is 12772 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 12772?
It is a composite number with 12 divisors.