The number 67335
67335 is a composite number with 12 divisors. Its prime factorisation is 3 × 5 × . Divisors (12): 1, 3, 5, 15, 67, 201, 335, 1005, 4489, 13467, 22445, 67335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67335 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67335 is composite. Its prime factorisation is
- 3
The divisors add up to 109368; without 67335 itself that is 42033, so 67335 is deficient (42033 is less than 67335). Euler's totient φ(67335) = 35376 numbers up to 67335 share no factor with it.
- 4
The digits of 67335 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67335 = 3 \times 5 \times 67^{2} \]67335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109368 |
| Euler totient φ(n) | 35376 |
| Square | 4534002225 |
| Cube | 305297039820375 |
| Square root | 259.489884 (= 67√15) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7335 × |
67335 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and thirty-five |
| Binary (base 2) | 10000011100000111 |
| Octal (base 8) | 203407 |
| Hexadecimal (base 16) | 10707 |
| Base 3 | 10102100220 |
| As time | 67335 seconds = 18 h 42 min 15 s |
Is 67335 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 (67335 ÷ 3 = 22445) | 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 (67335 ÷ 5 = 13467) | 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 7) | 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 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 67335 a prime number?
No. 67335 = 3 × 5 × , so it is divisible by 3.
What are the factors of 67335?
1, 3, 5, 15, 67, 201, 335, 1005, 4489, 13467, 22445, 67335.
What is 67335 in binary?
10000011100000111 (hexadecimal 10707, octal 203407).
What is the square root of 67335?
About 259.4899, exactly 67√15.
Is 67335 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67335?
It is a composite number with 12 divisors.