The number 3424
3424 is a composite number with 12 divisors. Its prime factorisation is × 107. Divisors (12): 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3424 is composite. Its prime factorisation is
- 3
The divisors add up to 6804; without 3424 itself that is 3380, so 3424 is deficient (3380 is less than 3424). Euler's totient φ(3424) = 1696 numbers up to 3424 share no factor with it.
- 4
The digits of 3424 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3424 = 2^{5} \times 107 \]3424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6804 |
| Euler totient φ(n) | 1696 |
| Square | 11723776 |
| Cube | 40142209024 |
| Square root | 58.514955 (= 4√214) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.424 × |
3424 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and twenty-four |
| Roman numerals | MMMCDXXIV |
| Binary (base 2) | 110101100000 |
| Octal (base 8) | 6540 |
| Hexadecimal (base 16) | D60 |
| Base 3 | 11200211 |
| As time | 3424 seconds = 57 min 4 s |
Is 3424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3424 ÷ 2 = 1712) | 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 (3424 ÷ 4 = 856) | 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 | No (remainder 1) | 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 (3424 ÷ 8 = 428) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 3424 a prime number?
No. 3424 = × 107, so it is divisible by 2.
What are the factors of 3424?
1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424.
What is 3424 in binary?
110101100000 (hexadecimal D60, octal 6540).
What is the square root of 3424?
About 58.5150, exactly 4√214.
What is 3424 in Roman numerals?
MMMCDXXIV.
Is 3424 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3424?
It is a composite number with 12 divisors.