The number 33816
33816 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1409. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1409, 2818, 4227, 5636, 8454, 11272, 16908, 33816.
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How to work it out
- 1
33816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33816 is composite. Its prime factorisation is
- 3
The divisors add up to 84600; without 33816 itself that is 50784, so 33816 is abundant (50784 is more than 33816). Euler's totient φ(33816) = 11264 numbers up to 33816 share no factor with it.
- 4
The digits of 33816 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33816 = 2^{3} \times 3 \times 1409 \]33816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84600 |
| Euler totient φ(n) | 11264 |
| Square | 1143521856 |
| Cube | 38669335082496 |
| Square root | 183.891272 (= 2√8454) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3816 × |
33816 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and sixteen |
| Binary (base 2) | 1000010000011000 |
| Octal (base 8) | 102030 |
| Hexadecimal (base 16) | 8418 |
| Base 3 | 1201101110 |
| As time | 33816 seconds = 9 h 23 min 36 s |
Is 33816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33816 ÷ 2 = 16908) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33816 ÷ 3 = 11272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33816 ÷ 4 = 8454) | 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 | Yes (33816 ÷ 6 = 5636) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (33816 ÷ 8 = 4227) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33816 ÷ 12 = 2818) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33816 a prime number?
No. 33816 = × 3 × 1409, so it is divisible by 2.
What are the factors of 33816?
1, 2, 3, 4, 6, 8, 12, 24, 1409, 2818, 4227, 5636, 8454, 11272, 16908, 33816.
What is 33816 in binary?
1000010000011000 (hexadecimal 8418, octal 102030).
What is the square root of 33816?
About 183.8913, exactly 2√8454.
Is 33816 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33816?
It is a composite number with 16 divisors.