The number 33168
33168 is a composite number with 20 divisors. Its prime factorisation is × 3 × 691. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 691, 1382, 2073, 2764, 4146, 5528 … 33168.
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How to work it out
- 1
33168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33168 is composite. Its prime factorisation is
- 3
The divisors add up to 85808; without 33168 itself that is 52640, so 33168 is abundant (52640 is more than 33168). Euler's totient φ(33168) = 11040 numbers up to 33168 share no factor with it.
- 4
The digits of 33168 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33168 = 2^{4} \times 3 \times 691 \]33168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 85808 |
| Euler totient φ(n) | 11040 |
| Square | 1100116224 |
| Cube | 36488654917632 |
| Square root | 182.120839 (= 4√2073) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3168 × |
33168 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and sixty-eight |
| Binary (base 2) | 1000000110010000 |
| Octal (base 8) | 100620 |
| Hexadecimal (base 16) | 8190 |
| Base 3 | 1200111110 |
| As time | 33168 seconds = 9 h 12 min 48 s |
Is 33168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33168 ÷ 2 = 16584) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33168 ÷ 3 = 11056) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33168 ÷ 4 = 8292) | 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 | Yes (33168 ÷ 6 = 5528) | 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 (33168 ÷ 8 = 4146) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33168 ÷ 12 = 2764) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33168 a prime number?
No. 33168 = × 3 × 691, so it is divisible by 2.
What are the factors of 33168?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584, 33168.
What is 33168 in binary?
1000000110010000 (hexadecimal 8190, octal 100620).
What is the square root of 33168?
About 182.1208, exactly 4√2073.
Is 33168 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33168?
It is a composite number with 20 divisors.