The number 67041
67041 is a composite number with 16 divisors. Its prime factorisation is × 13 × 191. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 191, 351, 573, 1719, 2483, 5157, 7449, 22347, 67041.
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How to work it out
- 1
67041 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67041 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 67041 itself that is 40479, so 67041 is deficient (40479 is less than 67041). Euler's totient φ(67041) = 41040 numbers up to 67041 share no factor with it.
- 4
The digits of 67041 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67041 = 3^{3} \times 13 \times 191 \]67041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 41040 |
| Square | 4494495681 |
| Cube | 301315484949921 |
| Square root | 258.922768 (= 3√7449) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7041 × |
67041 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and forty-one |
| Binary (base 2) | 10000010111100001 |
| Octal (base 8) | 202741 |
| Hexadecimal (base 16) | 105E1 |
| Base 3 | 10101222000 |
| As time | 67041 seconds = 18 h 37 min 21 s |
Is 67041 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 (67041 ÷ 3 = 22347) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67041 ÷ 9 = 7449) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67041 a prime number?
No. 67041 = × 13 × 191, so it is divisible by 3.
What are the factors of 67041?
1, 3, 9, 13, 27, 39, 117, 191, 351, 573, 1719, 2483, 5157, 7449, 22347, 67041.
What is 67041 in binary?
10000010111100001 (hexadecimal 105E1, octal 202741).
What is the square root of 67041?
About 258.9228, exactly 3√7449.
Is 67041 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67041?
It is a composite number with 16 divisors.