The number 12748
12748 is a composite number with 6 divisors. Its prime factorisation is × 3187. Divisors (6): 1, 2, 4, 3187, 6374, 12748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12748 is composite. Its prime factorisation is
- 3
The divisors add up to 22316; without 12748 itself that is 9568, so 12748 is deficient (9568 is less than 12748). Euler's totient φ(12748) = 6372 numbers up to 12748 share no factor with it.
- 4
The digits of 12748 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12748 = 2^{2} \times 3187 \]12748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 22316 |
| Euler totient φ(n) | 6372 |
| Square | 162511504 |
| Cube | 2071696652992 |
| Square root | 112.907041 (= 2√3187) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2748 × |
12748 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and forty-eight |
| Binary (base 2) | 11000111001100 |
| Octal (base 8) | 30714 |
| Hexadecimal (base 16) | 31CC |
| Base 3 | 122111011 |
| As time | 12748 seconds = 3 h 32 min 28 s |
Is 12748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12748 ÷ 2 = 6374) | 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 (12748 ÷ 4 = 3187) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 | No (remainder 10) | 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 12748 a prime number?
No. 12748 = × 3187, so it is divisible by 2.
What are the factors of 12748?
1, 2, 4, 3187, 6374, 12748.
What is 12748 in binary?
11000111001100 (hexadecimal 31CC, octal 30714).
What is the square root of 12748?
About 112.9070, exactly 2√3187.
Is 12748 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 12748?
It is a composite number with 6 divisors.