The number 13025
13025 is a composite number with 6 divisors. Its prime factorisation is Ć 521. Divisors (6): 1, 5, 25, 521, 2605, 13025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13025 is composite. Its prime factorisation is
- 3
The divisors add up to 16182; without 13025 itself that is 3157, so 13025 is deficient (3157 is less than 13025). Euler's totient Ļ(13025) = 10400 numbers up to 13025 share no factor with it.
- 4
The digits of 13025 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13025 = 5^{2} \times 521 \]13025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16182 |
| Euler totient Ļ(n) | 10400 |
| Square | 169650625 |
| Cube | 2209699390625 |
| Square root | 114.127122 (= 5ā521) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3025 Ć |
13025 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and twenty-five |
| Binary (base 2) | 11001011100001 |
| Octal (base 8) | 31341 |
| Hexadecimal (base 16) | 32E1 |
| Base 3 | 122212102 |
| As time | 13025 seconds = 3 h 37 min 5 s |
Is 13025 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 (13025 Ć· 5 = 2605) | 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 | No (remainder 5) | 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 2) | 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 1) | 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 13025 a prime number?
No. 13025 = Ć 521, so it is divisible by 5.
What are the factors of 13025?
1, 5, 25, 521, 2605, 13025.
What is 13025 in binary?
11001011100001 (hexadecimal 32E1, octal 31341).
What is the square root of 13025?
About 114.1271, exactly 5ā521.
Is 13025 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13025?
It is a composite number with 6 divisors.