The number 67365
67365 is a composite number with 16 divisors. Its prime factorisation is × 5 × 499. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 499, 1497, 2495, 4491, 7485, 13473, 22455, 67365.
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How to work it out
- 1
What is special about 67365: a Harshad number: divisible by its digit sum 27.
- 2
67365 is composite. Its prime factorisation is
- 3
The divisors add up to 120000; without 67365 itself that is 52635, so 67365 is deficient (52635 is less than 67365). Euler's totient φ(67365) = 35856 numbers up to 67365 share no factor with it.
- 4
The digits of 67365 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67365 = 3^{3} \times 5 \times 499 \]67365 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120000 |
| Euler totient φ(n) | 35856 |
| Square | 4538043225 |
| Cube | 305705281852125 |
| Square root | 259.547683 (= 3√7485) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7365 × |
67365 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and sixty-five |
| Binary (base 2) | 10000011100100101 |
| Octal (base 8) | 203445 |
| Hexadecimal (base 16) | 10725 |
| Base 3 | 10102102000 |
| As time | 67365 seconds = 18 h 42 min 45 s |
Is 67365 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 (67365 ÷ 3 = 22455) | 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 (67365 ÷ 5 = 13473) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67365 ÷ 9 = 7485) | 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 1) | 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 67365 a prime number?
No. 67365 = × 5 × 499, so it is divisible by 3.
What are the factors of 67365?
1, 3, 5, 9, 15, 27, 45, 135, 499, 1497, 2495, 4491, 7485, 13473, 22455, 67365.
What is 67365 in binary?
10000011100100101 (hexadecimal 10725, octal 203445).
What is the square root of 67365?
About 259.5477, exactly 3√7485.
Is 67365 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67365?
67365 is a Harshad number: divisible by its digit sum 27.