The number 36825
36825 is a composite number with 12 divisors. Its prime factorisation is 3 × × 491. Divisors (12): 1, 3, 5, 15, 25, 75, 491, 1473, 2455, 7365, 12275, 36825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36825 is composite. Its prime factorisation is
- 3
The divisors add up to 61008; without 36825 itself that is 24183, so 36825 is deficient (24183 is less than 36825). Euler's totient φ(36825) = 19600 numbers up to 36825 share no factor with it.
- 4
The digits of 36825 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36825 = 3 \times 5^{2} \times 491 \]36825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61008 |
| Euler totient φ(n) | 19600 |
| Square | 1356080625 |
| Cube | 49937669015625 |
| Square root | 191.898411 (= 5√1473) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.6825 × |
36825 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and twenty-five |
| Binary (base 2) | 1000111111011001 |
| Octal (base 8) | 107731 |
| Hexadecimal (base 16) | 8FD9 |
| Base 3 | 1212111220 |
| As time | 36825 seconds = 10 h 13 min 45 s |
Is 36825 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 | Yes (36825 ÷ 3 = 12275) | 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 (36825 ÷ 5 = 7365) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36825 a prime number?
No. 36825 = 3 × × 491, so it is divisible by 3.
What are the factors of 36825?
1, 3, 5, 15, 25, 75, 491, 1473, 2455, 7365, 12275, 36825.
What is 36825 in binary?
1000111111011001 (hexadecimal 8FD9, octal 107731).
What is the square root of 36825?
About 191.8984, exactly 5√1473.
Is 36825 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 36825?
It is a composite number with 12 divisors.