The number 36808
36808 is a composite number with 16 divisors. Its prime factorisation is × 43 × 107. Divisors (16): 1, 2, 4, 8, 43, 86, 107, 172, 214, 344, 428, 856, 4601, 9202, 18404, 36808.
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How to work it out
- 1
36808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36808 is composite. Its prime factorisation is
- 3
The divisors add up to 71280; without 36808 itself that is 34472, so 36808 is deficient (34472 is less than 36808). Euler's totient φ(36808) = 17808 numbers up to 36808 share no factor with it.
- 4
The digits of 36808 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36808 = 2^{3} \times 43 \times 107 \]36808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 71280 |
| Euler totient φ(n) | 17808 |
| Square | 1354828864 |
| Cube | 49868540826112 |
| Square root | 191.854111 (= 2√9202) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6808 × |
36808 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and eight |
| Binary (base 2) | 1000111111001000 |
| Octal (base 8) | 107710 |
| Hexadecimal (base 16) | 8FC8 |
| Base 3 | 1212111021 |
| As time | 36808 seconds = 10 h 13 min 28 s |
Is 36808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36808 ÷ 2 = 18404) | 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 (36808 ÷ 4 = 9202) | 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 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 | Yes (36808 ÷ 8 = 4601) | 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 2) | 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 36808 a prime number?
No. 36808 = × 43 × 107, so it is divisible by 2.
What are the factors of 36808?
1, 2, 4, 8, 43, 86, 107, 172, 214, 344, 428, 856, 4601, 9202, 18404, 36808.
What is 36808 in binary?
1000111111001000 (hexadecimal 8FC8, octal 107710).
What is the square root of 36808?
About 191.8541, exactly 2√9202.
Is 36808 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 36808?
It is a composite number with 16 divisors.