The number 6736
6736 is a composite number with 10 divisors. Its prime factorisation is × 421. Divisors (10): 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6736: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6736 is composite. Its prime factorisation is
- 3
The divisors add up to 13082; without 6736 itself that is 6346, so 6736 is deficient (6346 is less than 6736). Euler's totient φ(6736) = 3360 numbers up to 6736 share no factor with it.
- 4
The digits of 6736 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6736 = 2^{4} \times 421 \]6736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 13082 |
| Euler totient φ(n) | 3360 |
| Square | 45373696 |
| Cube | 305637216256 |
| Square root | 82.073138 (= 4√421) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.736 × |
6736 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and thirty-six |
| Binary (base 2) | 1101001010000 |
| Octal (base 8) | 15120 |
| Hexadecimal (base 16) | 1A50 |
| Base 3 | 100020111 |
| As time | 6736 seconds = 1 h 52 min 16 s |
Is 6736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6736 ÷ 2 = 3368) | 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 (6736 ÷ 4 = 1684) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (6736 ÷ 8 = 842) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6736 a prime number?
No. 6736 = × 421, so it is divisible by 2.
What are the factors of 6736?
1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736.
What is 6736 in binary?
1101001010000 (hexadecimal 1A50, octal 15120).
What is the square root of 6736?
About 82.0731, exactly 4√421.
Is 6736 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6736?
6736 is a happy number: repeatedly adding the squares of its digits reaches 1.