The number 33280
33280 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80 … 33280.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33280: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
33280 is composite. Its prime factorisation is
- 3
The divisors add up to 85932; without 33280 itself that is 52652, so 33280 is abundant (52652 is more than 33280). Euler's totient φ(33280) = 12288 numbers up to 33280 share no factor with it.
- 4
The digits of 33280 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33280 = 2^{9} \times 5 \times 13 \]33280 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 85932 |
| Euler totient φ(n) | 12288 |
| Square | 1107558400 |
| Cube | 36859543552000 |
| Square root | 182.428068 (= 16√130) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.328 × |
33280 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and eighty |
| Binary (base 2) | 1000001000000000 |
| Octal (base 8) | 101000 |
| Hexadecimal (base 16) | 8200 |
| Base 3 | 1200122121 |
| As time | 33280 seconds = 9 h 14 min 40 s |
Is 33280 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33280 ÷ 2 = 16640) | 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 (33280 ÷ 4 = 8320) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33280 ÷ 5 = 6656) | 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 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 (33280 ÷ 8 = 4160) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33280 ÷ 10 = 3328) | 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 33280 a prime number?
No. 33280 = × 5 × 13, so it is divisible by 2.
What are the factors of 33280?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 256, 260, 320, 416, 512, 520, 640, 832, 1040, 1280, 1664, 2080, 2560, 3328, 4160, 6656, 8320, 16640, 33280.
What is 33280 in binary?
1000001000000000 (hexadecimal 8200, octal 101000).
What is the square root of 33280?
About 182.4281, exactly 16√130.
Is 33280 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33280?
33280 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.