The number 12738
12738 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 193. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 193, 386, 579, 1158, 2123, 4246, 6369, 12738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12738 is composite. Its prime factorisation is
- 3
The divisors add up to 27936; without 12738 itself that is 15198, so 12738 is abundant (15198 is more than 12738). Euler's totient φ(12738) = 3840 numbers up to 12738 share no factor with it.
- 4
The digits of 12738 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12738 = 2 \times 3 \times 11 \times 193 \]
12738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27936 |
| Euler totient φ(n) | 3840 |
| Square | 162256644 |
| Cube | 2066825131272 |
| Square root | 112.862749 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.2738 × |
12738 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and thirty-eight |
| Binary (base 2) | 11000111000010 |
| Octal (base 8) | 30702 |
| Hexadecimal (base 16) | 31C2 |
| Base 3 | 122110210 |
| As time | 12738 seconds = 3 h 32 min 18 s |
Is 12738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12738 ÷ 2 = 6369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12738 ÷ 3 = 4246) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12738 ÷ 6 = 2123) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (12738 ÷ 11 = 1158) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12738 a prime number?
No. 12738 = 2 × 3 × 11 × 193, so it is divisible by 2.
What are the factors of 12738?
1, 2, 3, 6, 11, 22, 33, 66, 193, 386, 579, 1158, 2123, 4246, 6369, 12738.
What is 12738 in binary?
11000111000010 (hexadecimal 31C2, octal 30702).
What is the square root of 12738?
About 112.8627.
Is 12738 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 12738?
It is a composite number with 16 divisors.