The number 6734
6734 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 37. Divisors (16): 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6734 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6734 is composite. Its prime factorisation is
- 3
The divisors add up to 12768; without 6734 itself that is 6034, so 6734 is deficient (6034 is less than 6734). Euler's totient φ(6734) = 2592 numbers up to 6734 share no factor with it.
- 4
The digits of 6734 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6734 = 2 \times 7 \times 13 \times 37 \]
6734 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12768 |
| Euler totient φ(n) | 2592 |
| Square | 45346756 |
| Cube | 305365054904 |
| Square root | 82.060953 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.734 × |
6734 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and thirty-four |
| Binary (base 2) | 1101001001110 |
| Octal (base 8) | 15116 |
| Hexadecimal (base 16) | 1A4E |
| Base 3 | 100020102 |
| As time | 6734 seconds = 1 h 52 min 14 s |
Is 6734 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6734 ÷ 2 = 3367) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6734 ÷ 7 = 962) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6734 a prime number?
No. 6734 = 2 × 7 × 13 × 37, so it is divisible by 2.
What are the factors of 6734?
1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734.
What is 6734 in binary?
1101001001110 (hexadecimal 1A4E, octal 15116).
What is the square root of 6734?
About 82.0610.
Is 6734 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6734?
It is a composite number with 16 divisors.