The number 11825
11825 is a composite number with 12 divisors. Its prime factorisation is × 11 × 43. Divisors (12): 1, 5, 11, 25, 43, 55, 215, 275, 473, 1075, 2365, 11825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11825 is composite. Its prime factorisation is
- 3
The divisors add up to 16368; without 11825 itself that is 4543, so 11825 is deficient (4543 is less than 11825). Euler's totient φ(11825) = 8400 numbers up to 11825 share no factor with it.
- 4
The digits of 11825 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11825 = 5^{2} \times 11 \times 43 \]11825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16368 |
| Euler totient φ(n) | 8400 |
| Square | 139830625 |
| Cube | 1653497140625 |
| Square root | 108.742816 (= 5√473) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1825 × |
11825 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and twenty-five |
| Binary (base 2) | 10111000110001 |
| Octal (base 8) | 27061 |
| Hexadecimal (base 16) | 2E31 |
| Base 3 | 121012222 |
| As time | 11825 seconds = 3 h 17 min 5 s |
Is 11825 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 (11825 ÷ 5 = 2365) | 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 2) | 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 | Yes (11825 ÷ 11 = 1075) | 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 11825 a prime number?
No. 11825 = × 11 × 43, so it is divisible by 5.
What are the factors of 11825?
1, 5, 11, 25, 43, 55, 215, 275, 473, 1075, 2365, 11825.
What is 11825 in binary?
10111000110001 (hexadecimal 2E31, octal 27061).
What is the square root of 11825?
About 108.7428, exactly 5√473.
Is 11825 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 11825?
It is a composite number with 12 divisors.