The number 33308
33308 is a composite number with 12 divisors. Its prime factorisation is × 11 × 757. Divisors (12): 1, 2, 4, 11, 22, 44, 757, 1514, 3028, 8327, 16654, 33308.
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How to work it out
- 1
What is special about 33308: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33308 is composite. Its prime factorisation is
- 3
The divisors add up to 63672; without 33308 itself that is 30364, so 33308 is deficient (30364 is less than 33308). Euler's totient φ(33308) = 15120 numbers up to 33308 share no factor with it.
- 4
The digits of 33308 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33308 = 2^{2} \times 11 \times 757 \]33308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63672 |
| Euler totient φ(n) | 15120 |
| Square | 1109422864 |
| Cube | 36952656754112 |
| Square root | 182.504794 (= 2√8327) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3308 × |
33308 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and eight |
| Binary (base 2) | 1000001000011100 |
| Octal (base 8) | 101034 |
| Hexadecimal (base 16) | 821C |
| Base 3 | 1200200122 |
| As time | 33308 seconds = 9 h 15 min 8 s |
Is 33308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33308 ÷ 2 = 16654) | 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 (33308 ÷ 4 = 8327) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (33308 ÷ 11 = 3028) | 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 33308 a prime number?
No. 33308 = × 11 × 757, so it is divisible by 2.
What are the factors of 33308?
1, 2, 4, 11, 22, 44, 757, 1514, 3028, 8327, 16654, 33308.
What is 33308 in binary?
1000001000011100 (hexadecimal 821C, octal 101034).
What is the square root of 33308?
About 182.5048, exactly 2√8327.
Is 33308 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33308?
33308 is a happy number: repeatedly adding the squares of its digits reaches 1.