The number 6731
6731 is a binary palindrome (1101001001011). Its prime factorisation is 53 × 127. Divisors (4): 1, 53, 127, 6731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6731: a binary palindrome (1101001001011); a semiprime: 53 × 127, the product of two primes.
- 2
6731 is composite. Its prime factorisation is
- 3
The divisors add up to 6912; without 6731 itself that is 181, so 6731 is deficient (181 is less than 6731). Euler's totient φ(6731) = 6552 numbers up to 6731 share no factor with it.
- 4
The digits of 6731 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6731 = 53 \times 127 \]
6731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6912 |
| Euler totient φ(n) | 6552 |
| Square | 45306361 |
| Cube | 304957115891 |
| Square root | 82.042672 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.731 × |
6731 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and thirty-one |
| Binary (base 2) | 1101001001011 |
| Octal (base 8) | 15113 |
| Hexadecimal (base 16) | 1A4B |
| Base 3 | 100020022 |
| As time | 6731 seconds = 1 h 52 min 11 s |
Is 6731 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6731 a prime number?
No. 6731 = 53 × 127, so it is divisible by 53.
What are the factors of 6731?
1, 53, 127, 6731.
What is 6731 in binary?
1101001001011 (hexadecimal 1A4B, octal 15113).
What is the square root of 6731?
About 82.0427.
Is 6731 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 6731?
6731 is a binary palindrome (1101001001011); a semiprime: 53 × 127, the product of two primes.