The number 33836
33836 is a composite number with 12 divisors. Its prime factorisation is × 11 × 769. Divisors (12): 1, 2, 4, 11, 22, 44, 769, 1538, 3076, 8459, 16918, 33836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33836 is composite. Its prime factorisation is
- 3
The divisors add up to 64680; without 33836 itself that is 30844, so 33836 is deficient (30844 is less than 33836). Euler's totient φ(33836) = 15360 numbers up to 33836 share no factor with it.
- 4
The digits of 33836 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33836 = 2^{2} \times 11 \times 769 \]33836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64680 |
| Euler totient φ(n) | 15360 |
| Square | 1144874896 |
| Cube | 38737986981056 |
| Square root | 183.945644 (= 2√8459) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3836 × |
33836 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and thirty-six |
| Binary (base 2) | 1000010000101100 |
| Octal (base 8) | 102054 |
| Hexadecimal (base 16) | 842C |
| Base 3 | 1201102012 |
| As time | 33836 seconds = 9 h 23 min 56 s |
Is 33836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33836 ÷ 2 = 16918) | 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 | Yes (33836 ÷ 4 = 8459) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33836 ÷ 11 = 3076) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33836 a prime number?
No. 33836 = × 11 × 769, so it is divisible by 2.
What are the factors of 33836?
1, 2, 4, 11, 22, 44, 769, 1538, 3076, 8459, 16918, 33836.
What is 33836 in binary?
1000010000101100 (hexadecimal 842C, octal 102054).
What is the square root of 33836?
About 183.9456, exactly 2√8459.
Is 33836 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33836?
It is a composite number with 12 divisors.