The number 3308
3308 is a composite number with 6 divisors. Its prime factorisation is × 827. Divisors (6): 1, 2, 4, 827, 1654, 3308.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3308: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3308 is composite. Its prime factorisation is
- 3
The divisors add up to 5796; without 3308 itself that is 2488, so 3308 is deficient (2488 is less than 3308). Euler's totient φ(3308) = 1652 numbers up to 3308 share no factor with it.
- 4
The digits of 3308 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3308 = 2^{2} \times 827 \]3308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5796 |
| Euler totient φ(n) | 1652 |
| Square | 10942864 |
| Cube | 36198994112 |
| Square root | 57.515215 (= 2√827) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.308 × |
3308 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and eight |
| Roman numerals | MMMCCCVIII |
| Binary (base 2) | 110011101100 |
| Octal (base 8) | 6354 |
| Hexadecimal (base 16) | CEC |
| Base 3 | 11112112 |
| As time | 3308 seconds = 55 min 8 s |
Is 3308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3308 ÷ 2 = 1654) | 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 (3308 ÷ 4 = 827) | 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 4) | 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 5) | 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 8) | 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 3308 a prime number?
No. 3308 = × 827, so it is divisible by 2.
What are the factors of 3308?
1, 2, 4, 827, 1654, 3308.
What is 3308 in binary?
110011101100 (hexadecimal CEC, octal 6354).
What is the square root of 3308?
About 57.5152, exactly 2√827.
What is 3308 in Roman numerals?
MMMCCCVIII.
Is 3308 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3308?
3308 is a happy number: repeatedly adding the squares of its digits reaches 1.