The number 67004
67004 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2393. Divisors (12): 1, 2, 4, 7, 14, 28, 2393, 4786, 9572, 16751, 33502, 67004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67004 is composite. Its prime factorisation is
- 3
The divisors add up to 134064; without 67004 itself that is 67060, so 67004 is abundant (67060 is more than 67004). Euler's totient φ(67004) = 28704 numbers up to 67004 share no factor with it.
- 4
The digits of 67004 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67004 = 2^{2} \times 7 \times 2393 \]67004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 134064 |
| Euler totient φ(n) | 28704 |
| Square | 4489536016 |
| Cube | 300816871216064 |
| Square root | 258.851309 (= 2√16751) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7004 × |
67004 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and four |
| Binary (base 2) | 10000010110111100 |
| Octal (base 8) | 202674 |
| Hexadecimal (base 16) | 105BC |
| Base 3 | 10101220122 |
| As time | 67004 seconds = 18 h 36 min 44 s |
Is 67004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67004 ÷ 2 = 33502) | 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 | Yes (67004 ÷ 4 = 16751) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67004 ÷ 7 = 9572) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67004 a prime number?
No. 67004 = × 7 × 2393, so it is divisible by 2.
What are the factors of 67004?
1, 2, 4, 7, 14, 28, 2393, 4786, 9572, 16751, 33502, 67004.
What is 67004 in binary?
10000010110111100 (hexadecimal 105BC, octal 202674).
What is the square root of 67004?
About 258.8513, exactly 2√16751.
Is 67004 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67004?
It is a composite number with 12 divisors.