The number 36088
36088 is a composite number with 16 divisors. Its prime factorisation is × 13 × 347. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 347, 694, 1388, 2776, 4511, 9022, 18044, 36088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36088 is composite. Its prime factorisation is
- 3
The divisors add up to 73080; without 36088 itself that is 36992, so 36088 is abundant (36992 is more than 36088). Euler's totient φ(36088) = 16608 numbers up to 36088 share no factor with it.
- 4
The digits of 36088 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36088 = 2^{3} \times 13 \times 347 \]36088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73080 |
| Euler totient φ(n) | 16608 |
| Square | 1302343744 |
| Cube | 46998981033472 |
| Square root | 189.968418 (= 2√9022) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6088 × |
36088 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and eighty-eight |
| Binary (base 2) | 1000110011111000 |
| Octal (base 8) | 106370 |
| Hexadecimal (base 16) | 8CF8 |
| Base 3 | 1211111121 |
| As time | 36088 seconds = 10 h 1 min 28 s |
Is 36088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36088 ÷ 2 = 18044) | 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 | Yes (36088 ÷ 4 = 9022) | 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 | No (remainder 4) | 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 | Yes (36088 ÷ 8 = 4511) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36088 a prime number?
No. 36088 = × 13 × 347, so it is divisible by 2.
What are the factors of 36088?
1, 2, 4, 8, 13, 26, 52, 104, 347, 694, 1388, 2776, 4511, 9022, 18044, 36088.
What is 36088 in binary?
1000110011111000 (hexadecimal 8CF8, octal 106370).
What is the square root of 36088?
About 189.9684, exactly 2√9022.
Is 36088 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 36088?
It is a composite number with 16 divisors.