The number 33808
33808 is a composite number with 10 divisors. Its prime factorisation is × 2113. Divisors (10): 1, 2, 4, 8, 16, 2113, 4226, 8452, 16904, 33808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33808 is composite. Its prime factorisation is
- 3
The divisors add up to 65534; without 33808 itself that is 31726, so 33808 is deficient (31726 is less than 33808). Euler's totient φ(33808) = 16896 numbers up to 33808 share no factor with it.
- 4
The digits of 33808 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33808 = 2^{4} \times 2113 \]33808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 65534 |
| Euler totient φ(n) | 16896 |
| Square | 1142980864 |
| Cube | 38641897050112 |
| Square root | 183.869519 (= 4√2113) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3808 × |
33808 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and eight |
| Binary (base 2) | 1000010000010000 |
| Octal (base 8) | 102020 |
| Hexadecimal (base 16) | 8410 |
| Base 3 | 1201101011 |
| As time | 33808 seconds = 9 h 23 min 28 s |
Is 33808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33808 ÷ 2 = 16904) | 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 (33808 ÷ 4 = 8452) | 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 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 | Yes (33808 ÷ 8 = 4226) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | 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 33808 a prime number?
No. 33808 = × 2113, so it is divisible by 2.
What are the factors of 33808?
1, 2, 4, 8, 16, 2113, 4226, 8452, 16904, 33808.
What is 33808 in binary?
1000010000010000 (hexadecimal 8410, octal 102020).
What is the square root of 33808?
About 183.8695, exactly 4√2113.
Is 33808 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33808?
It is a composite number with 10 divisors.