The number 13365
13365 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11. Divisors (24): 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 243, 297 … 13365.
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How to work it out
- 1
13365 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13365 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 13365 itself that is 12843, so 13365 is deficient (12843 is less than 13365). Euler's totient φ(13365) = 6480 numbers up to 13365 share no factor with it.
- 4
The digits of 13365 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13365 = 3^{5} \times 5 \times 11 \]13365 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 6480 |
| Square | 178623225 |
| Cube | 2387299402125 |
| Square root | 115.607093 (= 9√165) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3365 × |
13365 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and sixty-five |
| Binary (base 2) | 11010000110101 |
| Octal (base 8) | 32065 |
| Hexadecimal (base 16) | 3435 |
| Base 3 | 200100000 |
| As time | 13365 seconds = 3 h 42 min 45 s |
Is 13365 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 (13365 ÷ 3 = 4455) | 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 (13365 ÷ 5 = 2673) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13365 ÷ 9 = 1485) | 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 | Yes (13365 ÷ 11 = 1215) | 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 13365 a prime number?
No. 13365 = × 5 × 11, so it is divisible by 3.
What are the factors of 13365?
1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 243, 297, 405, 495, 891, 1215, 1485, 2673, 4455, 13365.
What is 13365 in binary?
11010000110101 (hexadecimal 3435, octal 32065).
What is the square root of 13365?
About 115.6071, exactly 9√165.
Is 13365 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13365?
It is a composite number with 24 divisors.