The number 33264
33264 is a composite number with 80 divisors. Its prime factorisation is × × 7 × 11. Divisors (80): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24 … 33264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33264: a Harshad number: divisible by its digit sum 18.
- 2
33264 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 33264 itself that is 85776, so 33264 is abundant (85776 is more than 33264). Euler's totient φ(33264) = 8640 numbers up to 33264 share no factor with it.
- 4
The digits of 33264 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33264 = 2^{4} \times 3^{3} \times 7 \times 11 \]33264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 8640 |
| Square | 1106493696 |
| Cube | 36806406303744 |
| Square root | 182.384210 (= 12√231) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.3264 × |
33264 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and sixty-four |
| Binary (base 2) | 1000000111110000 |
| Octal (base 8) | 100760 |
| Hexadecimal (base 16) | 81F0 |
| Base 3 | 1200122000 |
| As time | 33264 seconds = 9 h 14 min 24 s |
Is 33264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33264 ÷ 2 = 16632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33264 ÷ 3 = 11088) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33264 ÷ 4 = 8316) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33264 ÷ 6 = 5544) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33264 ÷ 7 = 4752) | 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 (33264 ÷ 8 = 4158) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33264 ÷ 9 = 3696) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33264 ÷ 11 = 3024) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33264 ÷ 12 = 2772) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33264 a prime number?
No. 33264 = × × 7 × 11, so it is divisible by 2.
What are the factors of 33264?
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 48, 54, 56, 63, 66, 72, 77, 84, 88, 99, 108, 112, 126, 132, 144, 154, 168, 176, 189, 198, 216, 231, 252, 264, 297, 308, 336, 378, 396, 432, 462, 504, 528, 594, 616, 693, 756, 792, 924, 1008, 1188, 1232, 1386, 1512, 1584, 1848, 2079, 2376, 2772, 3024, 3696, 4158, 4752, 5544, 8316, 11088, 16632, 33264.
What is 33264 in binary?
1000000111110000 (hexadecimal 81F0, octal 100760).
What is the square root of 33264?
About 182.3842, exactly 12√231.
Is 33264 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33264?
33264 is a Harshad number: divisible by its digit sum 18.