The number 6738
6738 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1123. Divisors (8): 1, 2, 3, 6, 1123, 2246, 3369, 6738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6738 is composite. Its prime factorisation is
- 3
The divisors add up to 13488; without 6738 itself that is 6750, so 6738 is abundant (6750 is more than 6738). Euler's totient φ(6738) = 2244 numbers up to 6738 share no factor with it.
- 4
The digits of 6738 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6738 = 2 \times 3 \times 1123 \]
6738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13488 |
| Euler totient φ(n) | 2244 |
| Square | 45400644 |
| Cube | 305909539272 |
| Square root | 82.085321 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.738 × |
6738 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and thirty-eight |
| Binary (base 2) | 1101001010010 |
| Octal (base 8) | 15122 |
| Hexadecimal (base 16) | 1A52 |
| Base 3 | 100020120 |
| As time | 6738 seconds = 1 h 52 min 18 s |
Is 6738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6738 ÷ 2 = 3369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6738 ÷ 3 = 2246) | 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 (6738 ÷ 6 = 1123) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | 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 6738 a prime number?
No. 6738 = 2 × 3 × 1123, so it is divisible by 2.
What are the factors of 6738?
1, 2, 3, 6, 1123, 2246, 3369, 6738.
What is 6738 in binary?
1101001010010 (hexadecimal 1A52, octal 15122).
What is the square root of 6738?
About 82.0853.
Is 6738 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 6738?
It is a composite number with 8 divisors.