The number 13275
13275 is a composite number with 18 divisors. Its prime factorisation is × × 59. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 59, 75, 177, 225, 295, 531, 885, 1475, 2655 … 13275.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13275 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13275 is composite. Its prime factorisation is
- 3
The divisors add up to 24180; without 13275 itself that is 10905, so 13275 is deficient (10905 is less than 13275). Euler's totient φ(13275) = 6960 numbers up to 13275 share no factor with it.
- 4
The digits of 13275 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13275 = 3^{2} \times 5^{2} \times 59 \]13275 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 24180 |
| Euler totient φ(n) | 6960 |
| Square | 176225625 |
| Cube | 2339395171875 |
| Square root | 115.217186 (= 15√59) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3275 × |
13275 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and seventy-five |
| Binary (base 2) | 11001111011011 |
| Octal (base 8) | 31733 |
| Hexadecimal (base 16) | 33DB |
| Base 3 | 200012200 |
| As time | 13275 seconds = 3 h 41 min 15 s |
Is 13275 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 (13275 ÷ 3 = 4425) | 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 (13275 ÷ 5 = 2655) | 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 3) | 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 (13275 ÷ 9 = 1475) | 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 9) | 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 13275 a prime number?
No. 13275 = × × 59, so it is divisible by 3.
What are the factors of 13275?
1, 3, 5, 9, 15, 25, 45, 59, 75, 177, 225, 295, 531, 885, 1475, 2655, 4425, 13275.
What is 13275 in binary?
11001111011011 (hexadecimal 33DB, octal 31733).
What is the square root of 13275?
About 115.2172, exactly 15√59.
Is 13275 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13275?
It is a composite number with 18 divisors.