The number 3304
3304 is a composite number with 16 divisors. Its prime factorisation is × 7 × 59. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3304 is composite. Its prime factorisation is
- 3
The divisors add up to 7200; without 3304 itself that is 3896, so 3304 is abundant (3896 is more than 3304). Euler's totient φ(3304) = 1392 numbers up to 3304 share no factor with it.
- 4
The digits of 3304 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3304 = 2^{3} \times 7 \times 59 \]3304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7200 |
| Euler totient φ(n) | 1392 |
| Square | 10916416 |
| Cube | 36067838464 |
| Square root | 57.480431 (= 2√826) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.304 × |
3304 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and four |
| Roman numerals | MMMCCCIV |
| Binary (base 2) | 110011101000 |
| Octal (base 8) | 6350 |
| Hexadecimal (base 16) | CE8 |
| Base 3 | 11112101 |
| As time | 3304 seconds = 55 min 4 s |
Is 3304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3304 ÷ 2 = 1652) | 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 (3304 ÷ 4 = 826) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3304 ÷ 7 = 472) | 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 (3304 ÷ 8 = 413) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | 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 3304 a prime number?
No. 3304 = × 7 × 59, so it is divisible by 2.
What are the factors of 3304?
1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304.
What is 3304 in binary?
110011101000 (hexadecimal CE8, octal 6350).
What is the square root of 3304?
About 57.4804, exactly 2√826.
What is 3304 in Roman numerals?
MMMCCCIV.
Is 3304 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3304?
It is a composite number with 16 divisors.