The number 13075
13075 is a composite number with 6 divisors. Its prime factorisation is Ć 523. Divisors (6): 1, 5, 25, 523, 2615, 13075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13075 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13075 is composite. Its prime factorisation is
- 3
The divisors add up to 16244; without 13075 itself that is 3169, so 13075 is deficient (3169 is less than 13075). Euler's totient Ļ(13075) = 10440 numbers up to 13075 share no factor with it.
- 4
The digits of 13075 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13075 = 5^{2} \times 523 \]13075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16244 |
| Euler totient Ļ(n) | 10440 |
| Square | 170955625 |
| Cube | 2235244796875 |
| Square root | 114.345966 (= 5ā523) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3075 Ć |
13075 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy-five |
| Binary (base 2) | 11001100010011 |
| Octal (base 8) | 31423 |
| Hexadecimal (base 16) | 3313 |
| Base 3 | 122221021 |
| As time | 13075 seconds = 3 h 37 min 55 s |
Is 13075 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 (13075 Ć· 5 = 2615) | 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 6) | 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 | 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 | No (remainder 7) | 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 13075 a prime number?
No. 13075 = Ć 523, so it is divisible by 5.
What are the factors of 13075?
1, 5, 25, 523, 2615, 13075.
What is 13075 in binary?
11001100010011 (hexadecimal 3313, octal 31423).
What is the square root of 13075?
About 114.3460, exactly 5ā523.
Is 13075 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13075?
It is a composite number with 6 divisors.