The number 67671
67671 is a composite number with 12 divisors. Its prime factorisation is × 73 × 103. Divisors (12): 1, 3, 9, 73, 103, 219, 309, 657, 927, 7519, 22557, 67671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67671 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67671 is composite. Its prime factorisation is
- 3
The divisors add up to 100048; without 67671 itself that is 32377, so 67671 is deficient (32377 is less than 67671). Euler's totient φ(67671) = 44064 numbers up to 67671 share no factor with it.
- 4
The digits of 67671 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67671 = 3^{2} \times 73 \times 103 \]67671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100048 |
| Euler totient φ(n) | 44064 |
| Square | 4579364241 |
| Cube | 309890157552711 |
| Square root | 260.136503 (= 3√7519) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7671 × |
67671 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and seventy-one |
| Binary (base 2) | 10000100001010111 |
| Octal (base 8) | 204127 |
| Hexadecimal (base 16) | 10857 |
| Base 3 | 10102211100 |
| As time | 67671 seconds = 18 h 47 min 51 s |
Is 67671 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 (67671 ÷ 3 = 22557) | 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 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67671 ÷ 9 = 7519) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67671 a prime number?
No. 67671 = × 73 × 103, so it is divisible by 3.
What are the factors of 67671?
1, 3, 9, 73, 103, 219, 309, 657, 927, 7519, 22557, 67671.
What is 67671 in binary?
10000100001010111 (hexadecimal 10857, octal 204127).
What is the square root of 67671?
About 260.1365, exactly 3√7519.
Is 67671 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67671?
It is a composite number with 12 divisors.