The number 13265
13265 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 379. Divisors (8): 1, 5, 7, 35, 379, 1895, 2653, 13265.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13265 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13265 is composite. Its prime factorisation is
- 3
The divisors add up to 18240; without 13265 itself that is 4975, so 13265 is deficient (4975 is less than 13265). Euler's totient φ(13265) = 9072 numbers up to 13265 share no factor with it.
- 4
The digits of 13265 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13265 = 5 \times 7 \times 379 \]
13265 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18240 |
| Euler totient φ(n) | 9072 |
| Square | 175960225 |
| Cube | 2334112384625 |
| Square root | 115.173782 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3265 × |
13265 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and sixty-five |
| Binary (base 2) | 11001111010001 |
| Octal (base 8) | 31721 |
| Hexadecimal (base 16) | 33D1 |
| Base 3 | 200012022 |
| As time | 13265 seconds = 3 h 41 min 5 s |
Is 13265 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 | No (remainder 2) | 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 (13265 ÷ 5 = 2653) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13265 ÷ 7 = 1895) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13265 a prime number?
No. 13265 = 5 × 7 × 379, so it is divisible by 5.
What are the factors of 13265?
1, 5, 7, 35, 379, 1895, 2653, 13265.
What is 13265 in binary?
11001111010001 (hexadecimal 33D1, octal 31721).
What is the square root of 13265?
About 115.1738.
Is 13265 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13265?
It is a composite number with 8 divisors.