The number 67131
67131 is a composite number with 6 divisors. Its prime factorisation is × 7459. Divisors (6): 1, 3, 9, 7459, 22377, 67131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67131 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67131 is composite. Its prime factorisation is
- 3
The divisors add up to 96980; without 67131 itself that is 29849, so 67131 is deficient (29849 is less than 67131). Euler's totient φ(67131) = 44748 numbers up to 67131 share no factor with it.
- 4
The digits of 67131 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67131 = 3^{2} \times 7459 \]67131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 96980 |
| Euler totient φ(n) | 44748 |
| Square | 4506571161 |
| Cube | 302530628609091 |
| Square root | 259.096507 (= 3√7459) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7131 × |
67131 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirty-one |
| Binary (base 2) | 10000011000111011 |
| Octal (base 8) | 203073 |
| Hexadecimal (base 16) | 1063B |
| Base 3 | 10102002100 |
| As time | 67131 seconds = 18 h 38 min 51 s |
Is 67131 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 | Yes (67131 ÷ 3 = 22377) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67131 ÷ 9 = 7459) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67131 a prime number?
No. 67131 = × 7459, so it is divisible by 3.
What are the factors of 67131?
1, 3, 9, 7459, 22377, 67131.
What is 67131 in binary?
10000011000111011 (hexadecimal 1063B, octal 203073).
What is the square root of 67131?
About 259.0965, exactly 3√7459.
Is 67131 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67131?
It is a composite number with 6 divisors.