The number 13255
13255 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 241. Divisors (8): 1, 5, 11, 55, 241, 1205, 2651, 13255.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13255 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13255 is composite. Its prime factorisation is
- 3
The divisors add up to 17424; without 13255 itself that is 4169, so 13255 is deficient (4169 is less than 13255). Euler's totient φ(13255) = 9600 numbers up to 13255 share no factor with it.
- 4
The digits of 13255 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 275 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13255 = 5 \times 11 \times 241 \]
13255 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17424 |
| Euler totient φ(n) | 9600 |
| Square | 175695025 |
| Cube | 2328837556375 |
| Square root | 115.130361 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 275 |
| Scientific notation | 1.3255 × |
13255 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and fifty-five |
| Binary (base 2) | 11001111000111 |
| Octal (base 8) | 31707 |
| Hexadecimal (base 16) | 33C7 |
| Base 3 | 200011221 |
| As time | 13255 seconds = 3 h 40 min 55 s |
Is 13255 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 1) | 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 (13255 ÷ 5 = 2651) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (13255 ÷ 11 = 1205) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13255 a prime number?
No. 13255 = 5 × 11 × 241, so it is divisible by 5.
What are the factors of 13255?
1, 5, 11, 55, 241, 1205, 2651, 13255.
What is 13255 in binary?
11001111000111 (hexadecimal 33C7, octal 31707).
What is the square root of 13255?
About 115.1304.
Is 13255 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13255?
It is a composite number with 8 divisors.