The number 3404
3404 is a composite number with 12 divisors. Its prime factorisation is × 23 × 37. Divisors (12): 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3404 is composite. Its prime factorisation is
- 3
The divisors add up to 6384; without 3404 itself that is 2980, so 3404 is deficient (2980 is less than 3404). Euler's totient φ(3404) = 1584 numbers up to 3404 share no factor with it.
- 4
The digits of 3404 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3404 = 2^{2} \times 23 \times 37 \]3404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6384 |
| Euler totient φ(n) | 1584 |
| Square | 11587216 |
| Cube | 39442883264 |
| Square root | 58.343809 (= 2√851) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.404 × |
3404 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and four |
| Roman numerals | MMMCDIV |
| Binary (base 2) | 110101001100 |
| Octal (base 8) | 6514 |
| Hexadecimal (base 16) | D4C |
| Base 3 | 11200002 |
| As time | 3404 seconds = 56 min 44 s |
Is 3404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3404 ÷ 2 = 1702) | 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 (3404 ÷ 4 = 851) | 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 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 2) | 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 5) | 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 3404 a prime number?
No. 3404 = × 23 × 37, so it is divisible by 2.
What are the factors of 3404?
1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404.
What is 3404 in binary?
110101001100 (hexadecimal D4C, octal 6514).
What is the square root of 3404?
About 58.3438, exactly 2√851.
What is 3404 in Roman numerals?
MMMCDIV.
Is 3404 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3404?
It is a composite number with 12 divisors.