The number 73365
73365 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 67 × 73. Divisors (16): 1, 3, 5, 15, 67, 73, 201, 219, 335, 365, 1005, 1095, 4891, 14673, 24455, 73365.
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How to work it out
- 1
73365 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73365 is composite. Its prime factorisation is
- 3
The divisors add up to 120768; without 73365 itself that is 47403, so 73365 is deficient (47403 is less than 73365). Euler's totient φ(73365) = 38016 numbers up to 73365 share no factor with it.
- 4
The digits of 73365 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73365 = 3 \times 5 \times 67 \times 73 \]
73365 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120768 |
| Euler totient φ(n) | 38016 |
| Square | 5382423225 |
| Cube | 394881479902125 |
| Square root | 270.859742 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3365 × |
73365 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and sixty-five |
| Binary (base 2) | 10001111010010101 |
| Octal (base 8) | 217225 |
| Hexadecimal (base 16) | 11E95 |
| Base 3 | 10201122020 |
| As time | 73365 seconds = 20 h 22 min 45 s |
Is 73365 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 (73365 ÷ 3 = 24455) | 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 (73365 ÷ 5 = 14673) | 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 5) | 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 | 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 6) | 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 73365 a prime number?
No. 73365 = 3 × 5 × 67 × 73, so it is divisible by 3.
What are the factors of 73365?
1, 3, 5, 15, 67, 73, 201, 219, 335, 365, 1005, 1095, 4891, 14673, 24455, 73365.
What is 73365 in binary?
10001111010010101 (hexadecimal 11E95, octal 217225).
What is the square root of 73365?
About 270.8597.
Is 73365 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73365?
It is a composite number with 16 divisors.