The number 67074
67074 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1597. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1597, 3194, 4791, 9582, 11179, 22358, 33537, 67074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67074 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67074 is composite. Its prime factorisation is
- 3
The divisors add up to 153408; without 67074 itself that is 86334, so 67074 is abundant (86334 is more than 67074). Euler's totient φ(67074) = 19152 numbers up to 67074 share no factor with it.
- 4
The digits of 67074 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67074 = 2 \times 3 \times 7 \times 1597 \]
67074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153408 |
| Euler totient φ(n) | 19152 |
| Square | 4498921476 |
| Cube | 301760659081224 |
| Square root | 258.986486 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.7074 × |
67074 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and seventy-four |
| Binary (base 2) | 10000011000000010 |
| Octal (base 8) | 203002 |
| Hexadecimal (base 16) | 10602 |
| Base 3 | 10102000020 |
| As time | 67074 seconds = 18 h 37 min 54 s |
Is 67074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67074 ÷ 2 = 33537) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67074 ÷ 3 = 22358) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67074 ÷ 6 = 11179) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67074 ÷ 7 = 9582) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67074 a prime number?
No. 67074 = 2 × 3 × 7 × 1597, so it is divisible by 2.
What are the factors of 67074?
1, 2, 3, 6, 7, 14, 21, 42, 1597, 3194, 4791, 9582, 11179, 22358, 33537, 67074.
What is 67074 in binary?
10000011000000010 (hexadecimal 10602, octal 203002).
What is the square root of 67074?
About 258.9865.
Is 67074 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67074?
It is a composite number with 16 divisors.