The number 12773
12773 is a composite number with 4 divisors. Its prime factorisation is 53 × 241. Divisors (4): 1, 53, 241, 12773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12773: a semiprime: 53 × 241, the product of two primes.
- 2
12773 is composite. Its prime factorisation is
- 3
The divisors add up to 13068; without 12773 itself that is 295, so 12773 is deficient (295 is less than 12773). Euler's totient φ(12773) = 12480 numbers up to 12773 share no factor with it.
- 4
The digits of 12773 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12773 = 53 \times 241 \]
12773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13068 |
| Euler totient φ(n) | 12480 |
| Square | 163149529 |
| Cube | 2083908933917 |
| Square root | 113.017698 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.2773 × |
12773 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and seventy-three |
| Binary (base 2) | 11000111100101 |
| Octal (base 8) | 30745 |
| Hexadecimal (base 16) | 31E5 |
| Base 3 | 122112002 |
| As time | 12773 seconds = 3 h 32 min 53 s |
Is 12773 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12773 a prime number?
No. 12773 = 53 × 241, so it is divisible by 53.
What are the factors of 12773?
1, 53, 241, 12773.
What is 12773 in binary?
11000111100101 (hexadecimal 31E5, octal 30745).
What is the square root of 12773?
About 113.0177.
Is 12773 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 12773?
12773 is a semiprime: 53 × 241, the product of two primes.