The number 36108
36108 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 59. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 59, 68, 102, 118 … 36108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36108: a Harshad number: divisible by its digit sum 18.
- 2
36108 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 36108 itself that is 62172, so 36108 is abundant (62172 is more than 36108). Euler's totient φ(36108) = 11136 numbers up to 36108 share no factor with it.
- 4
The digits of 36108 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36108 = 2^{2} \times 3^{2} \times 17 \times 59 \]36108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 11136 |
| Square | 1303787664 |
| Cube | 47077164971712 |
| Square root | 190.021051 (= 6√1003) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.6108 × |
36108 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand one hundred and eight |
| Binary (base 2) | 1000110100001100 |
| Octal (base 8) | 106414 |
| Hexadecimal (base 16) | 8D0C |
| Base 3 | 1211112100 |
| As time | 36108 seconds = 10 h 1 min 48 s |
Is 36108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36108 ÷ 2 = 18054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36108 ÷ 3 = 12036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36108 ÷ 4 = 9027) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36108 ÷ 6 = 6018) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36108 ÷ 9 = 4012) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36108 ÷ 12 = 3009) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36108 a prime number?
No. 36108 = × × 17 × 59, so it is divisible by 2.
What are the factors of 36108?
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 59, 68, 102, 118, 153, 177, 204, 236, 306, 354, 531, 612, 708, 1003, 1062, 2006, 2124, 3009, 4012, 6018, 9027, 12036, 18054, 36108.
What is 36108 in binary?
1000110100001100 (hexadecimal 8D0C, octal 106414).
What is the square root of 36108?
About 190.0211, exactly 6√1003.
Is 36108 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36108?
36108 is a Harshad number: divisible by its digit sum 18.