The number 36125
36125 is a composite number with 12 divisors. Its prime factorisation is Ć . Divisors (12): 1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225, 36125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36125: a Harshad number: divisible by its digit sum 17.
- 2
36125 is composite. Its prime factorisation is
- 3
The divisors add up to 47892; without 36125 itself that is 11767, so 36125 is deficient (11767 is less than 36125). Euler's totient Ļ(36125) = 27200 numbers up to 36125 share no factor with it.
- 4
The digits of 36125 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36125 = 5^{3} \times 17^{2} \]36125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 47892 |
| Euler totient Ļ(n) | 27200 |
| Square | 1305015625 |
| Cube | 47143689453125 |
| Square root | 190.065778 (= 85ā5) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.6125 Ć |
36125 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand one hundred and twenty-five |
| Binary (base 2) | 1000110100011101 |
| Octal (base 8) | 106435 |
| Hexadecimal (base 16) | 8D1D |
| Base 3 | 1211112222 |
| As time | 36125 seconds = 10 h 2 min 5 s |
Is 36125 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 (36125 Ć· 5 = 7225) | 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 5) | 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 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 36125 a prime number?
No. 36125 = Ć , so it is divisible by 5.
What are the factors of 36125?
1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225, 36125.
What is 36125 in binary?
1000110100011101 (hexadecimal 8D1D, octal 106435).
What is the square root of 36125?
About 190.0658, exactly 85ā5.
Is 36125 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 36125?
36125 is a Harshad number: divisible by its digit sum 17.