The number 67995
67995 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1511. Divisors (12): 1, 3, 5, 9, 15, 45, 1511, 4533, 7555, 13599, 22665, 67995.
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How to work it out
- 1
67995 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67995 is composite. Its prime factorisation is
- 3
The divisors add up to 117936; without 67995 itself that is 49941, so 67995 is deficient (49941 is less than 67995). Euler's totient φ(67995) = 36240 numbers up to 67995 share no factor with it.
- 4
The digits of 67995 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67995 = 3^{2} \times 5 \times 1511 \]67995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 117936 |
| Euler totient φ(n) | 36240 |
| Square | 4623320025 |
| Cube | 314362645099875 |
| Square root | 260.758509 (= 3√7555) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 174 |
| Scientific notation | 6.7995 × |
67995 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and ninety-five |
| Binary (base 2) | 10000100110011011 |
| Octal (base 8) | 204633 |
| Hexadecimal (base 16) | 1099B |
| Base 3 | 10110021100 |
| As time | 67995 seconds = 18 h 53 min 15 s |
Is 67995 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 (67995 ÷ 3 = 22665) | 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 | Yes (67995 ÷ 5 = 13599) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67995 ÷ 9 = 7555) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67995 a prime number?
No. 67995 = × 5 × 1511, so it is divisible by 3.
What are the factors of 67995?
1, 3, 5, 9, 15, 45, 1511, 4533, 7555, 13599, 22665, 67995.
What is 67995 in binary?
10000100110011011 (hexadecimal 1099B, octal 204633).
What is the square root of 67995?
About 260.7585, exactly 3√7555.
Is 67995 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 67995?
It is a composite number with 12 divisors.