The number 67005
67005 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1489. Divisors (12): 1, 3, 5, 9, 15, 45, 1489, 4467, 7445, 13401, 22335, 67005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67005 is composite. Its prime factorisation is
- 3
The divisors add up to 116220; without 67005 itself that is 49215, so 67005 is deficient (49215 is less than 67005). Euler's totient φ(67005) = 35712 numbers up to 67005 share no factor with it.
- 4
The digits of 67005 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
\[ 67005 = 3^{2} \times 5 \times 1489 \]67005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116220 |
| Euler totient φ(n) | 35712 |
| Square | 4489670025 |
| Cube | 300830340025125 |
| Square root | 258.853240 (= 3√7445) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7005 × |
67005 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and five |
| Binary (base 2) | 10000010110111101 |
| Octal (base 8) | 202675 |
| Hexadecimal (base 16) | 105BD |
| Base 3 | 10101220200 |
| As time | 67005 seconds = 18 h 36 min 45 s |
Is 67005 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 (67005 ÷ 3 = 22335) | 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 | Yes (67005 ÷ 5 = 13401) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67005 ÷ 9 = 7445) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 67005 a prime number?
No. 67005 = × 5 × 1489, so it is divisible by 3.
What are the factors of 67005?
1, 3, 5, 9, 15, 45, 1489, 4467, 7445, 13401, 22335, 67005.
What is 67005 in binary?
10000010110111101 (hexadecimal 105BD, octal 202675).
What is the square root of 67005?
About 258.8532, exactly 3√7445.
Is 67005 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67005?
It is a composite number with 12 divisors.