The number 3328
3328 is a composite number with 18 divisors. Its prime factorisation is × 13. Divisors (18): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832 … 3328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3328: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
3328 is composite. Its prime factorisation is
- 3
The divisors add up to 7154; without 3328 itself that is 3826, so 3328 is abundant (3826 is more than 3328). Euler's totient φ(3328) = 1536 numbers up to 3328 share no factor with it.
- 4
The digits of 3328 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 17 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3328 = 2^{8} \times 13 \]3328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 7154 |
| Euler totient φ(n) | 1536 |
| Square | 11075584 |
| Cube | 36859543552 |
| Square root | 57.688820 (= 16√13) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 17 |
| Scientific notation | 3.328 × |
3328 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and twenty-eight |
| Roman numerals | MMMCCCXXVIII |
| Binary (base 2) | 110100000000 |
| Octal (base 8) | 6400 |
| Hexadecimal (base 16) | D00 |
| Base 3 | 11120021 |
| As time | 3328 seconds = 55 min 28 s |
Is 3328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3328 ÷ 2 = 1664) | 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 (3328 ÷ 4 = 832) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (3328 ÷ 8 = 416) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 3328 a prime number?
No. 3328 = × 13, so it is divisible by 2.
What are the factors of 3328?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328.
What is 3328 in binary?
110100000000 (hexadecimal D00, octal 6400).
What is the square root of 3328?
About 57.6888, exactly 16√13.
What is 3328 in Roman numerals?
MMMCCCXXVIII.
Is 3328 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3328?
3328 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.