The number 36025
36025 is a composite number with 12 divisors. Its prime factorisation is × 11 × 131. Divisors (12): 1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36025 is composite. Its prime factorisation is
- 3
The divisors add up to 49104; without 36025 itself that is 13079, so 36025 is deficient (13079 is less than 36025). Euler's totient φ(36025) = 26000 numbers up to 36025 share no factor with it.
- 4
The digits of 36025 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36025 = 5^{2} \times 11 \times 131 \]36025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49104 |
| Euler totient φ(n) | 26000 |
| Square | 1297800625 |
| Cube | 46753267515625 |
| Square root | 189.802529 (= 5√1441) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.6025 × |
36025 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and twenty-five |
| Binary (base 2) | 1000110010111001 |
| Octal (base 8) | 106271 |
| Hexadecimal (base 16) | 8CB9 |
| Base 3 | 1211102021 |
| As time | 36025 seconds = 10 h 0 min 25 s |
Is 36025 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36025 ÷ 5 = 7205) | 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 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 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 | Yes (36025 ÷ 11 = 3275) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36025 a prime number?
No. 36025 = × 11 × 131, so it is divisible by 5.
What are the factors of 36025?
1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025.
What is 36025 in binary?
1000110010111001 (hexadecimal 8CB9, octal 106271).
What is the square root of 36025?
About 189.8025, exactly 5√1441.
Is 36025 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 36025?
It is a composite number with 12 divisors.