The number 13625
13625 is a composite number with 8 divisors. Its prime factorisation is Ć 109. Divisors (8): 1, 5, 25, 109, 125, 545, 2725, 13625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13625 is composite. Its prime factorisation is
- 3
The divisors add up to 17160; without 13625 itself that is 3535, so 13625 is deficient (3535 is less than 13625). Euler's totient Ļ(13625) = 10800 numbers up to 13625 share no factor with it.
- 4
The digits of 13625 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13625 = 5^{3} \times 109 \]13625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17160 |
| Euler totient Ļ(n) | 10800 |
| Square | 185640625 |
| Cube | 2529353515625 |
| Square root | 116.726175 (= 5ā545) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3625 Ć |
13625 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and twenty-five |
| Binary (base 2) | 11010100111001 |
| Octal (base 8) | 32471 |
| Hexadecimal (base 16) | 3539 |
| Base 3 | 200200122 |
| As time | 13625 seconds = 3 h 47 min 5 s |
Is 13625 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 (13625 Ć· 5 = 2725) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13625 a prime number?
No. 13625 = Ć 109, so it is divisible by 5.
What are the factors of 13625?
1, 5, 25, 109, 125, 545, 2725, 13625.
What is 13625 in binary?
11010100111001 (hexadecimal 3539, octal 32471).
What is the square root of 13625?
About 116.7262, exactly 5ā545.
Is 13625 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13625?
It is a composite number with 8 divisors.