The number 13055
13055 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 373. Divisors (8): 1, 5, 7, 35, 373, 1865, 2611, 13055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13055 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13055 is composite. Its prime factorisation is
- 3
The divisors add up to 17952; without 13055 itself that is 4897, so 13055 is deficient (4897 is less than 13055). Euler's totient φ(13055) = 8928 numbers up to 13055 share no factor with it.
- 4
The digits of 13055 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13055 = 5 \times 7 \times 373 \]
13055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17952 |
| Euler totient φ(n) | 8928 |
| Square | 170433025 |
| Cube | 2225003141375 |
| Square root | 114.258479 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3055 × |
13055 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and fifty-five |
| Binary (base 2) | 11001011111111 |
| Octal (base 8) | 31377 |
| Hexadecimal (base 16) | 32FF |
| Base 3 | 122220112 |
| As time | 13055 seconds = 3 h 37 min 35 s |
Is 13055 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13055 ÷ 5 = 2611) | 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 (13055 ÷ 7 = 1865) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13055 a prime number?
No. 13055 = 5 × 7 × 373, so it is divisible by 5.
What are the factors of 13055?
1, 5, 7, 35, 373, 1865, 2611, 13055.
What is 13055 in binary?
11001011111111 (hexadecimal 32FF, octal 31377).
What is the square root of 13055?
About 114.2585.
Is 13055 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13055?
It is a composite number with 8 divisors.