The number 12742
12742 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 277. Divisors (8): 1, 2, 23, 46, 277, 554, 6371, 12742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12742 is composite. Its prime factorisation is
- 3
The divisors add up to 20016; without 12742 itself that is 7274, so 12742 is deficient (7274 is less than 12742). Euler's totient φ(12742) = 6072 numbers up to 12742 share no factor with it.
- 4
The digits of 12742 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12742 = 2 \times 23 \times 277 \]
12742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20016 |
| Euler totient φ(n) | 6072 |
| Square | 162358564 |
| Cube | 2068772822488 |
| Square root | 112.880468 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.2742 × |
12742 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and forty-two |
| Binary (base 2) | 11000111000110 |
| Octal (base 8) | 30706 |
| Hexadecimal (base 16) | 31C6 |
| Base 3 | 122110221 |
| As time | 12742 seconds = 3 h 32 min 22 s |
Is 12742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12742 ÷ 2 = 6371) | 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 2) | 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 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12742 a prime number?
No. 12742 = 2 × 23 × 277, so it is divisible by 2.
What are the factors of 12742?
1, 2, 23, 46, 277, 554, 6371, 12742.
What is 12742 in binary?
11000111000110 (hexadecimal 31C6, octal 30706).
What is the square root of 12742?
About 112.8805.
Is 12742 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 12742?
It is a composite number with 8 divisors.