The number 67635
67635 is a composite number with 20 divisors. Its prime factorisation is × 5 × 167. Divisors (20): 1, 3, 5, 9, 15, 27, 45, 81, 135, 167, 405, 501, 835, 1503, 2505, 4509 … 67635.
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How to work it out
- 1
What is special about 67635: a Harshad number: divisible by its digit sum 27.
- 2
67635 is composite. Its prime factorisation is
- 3
The divisors add up to 121968; without 67635 itself that is 54333, so 67635 is deficient (54333 is less than 67635). Euler's totient φ(67635) = 35856 numbers up to 67635 share no factor with it.
- 4
The digits of 67635 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67635 = 3^{4} \times 5 \times 167 \]67635 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 121968 |
| Euler totient φ(n) | 35856 |
| Square | 4574493225 |
| Cube | 309395849272875 |
| Square root | 260.067299 (= 9√835) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7635 × |
67635 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and thirty-five |
| Binary (base 2) | 10000100000110011 |
| Octal (base 8) | 204063 |
| Hexadecimal (base 16) | 10833 |
| Base 3 | 10102210000 |
| As time | 67635 seconds = 18 h 47 min 15 s |
Is 67635 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 (67635 ÷ 3 = 22545) | 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 (67635 ÷ 5 = 13527) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67635 ÷ 9 = 7515) | 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 7) | 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 67635 a prime number?
No. 67635 = × 5 × 167, so it is divisible by 3.
What are the factors of 67635?
1, 3, 5, 9, 15, 27, 45, 81, 135, 167, 405, 501, 835, 1503, 2505, 4509, 7515, 13527, 22545, 67635.
What is 67635 in binary?
10000100000110011 (hexadecimal 10833, octal 204063).
What is the square root of 67635?
About 260.0673, exactly 9√835.
Is 67635 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67635?
67635 is a Harshad number: divisible by its digit sum 27.