The number 3428
3428 is a composite number with 6 divisors. Its prime factorisation is × 857. Divisors (6): 1, 2, 4, 857, 1714, 3428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3428 is composite. Its prime factorisation is
- 3
The divisors add up to 6006; without 3428 itself that is 2578, so 3428 is deficient (2578 is less than 3428). Euler's totient φ(3428) = 1712 numbers up to 3428 share no factor with it.
- 4
The digits of 3428 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3428 = 2^{2} \times 857 \]3428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6006 |
| Euler totient φ(n) | 1712 |
| Square | 11751184 |
| Cube | 40283058752 |
| Square root | 58.549125 (= 2√857) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.428 × |
3428 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and twenty-eight |
| Roman numerals | MMMCDXXVIII |
| Binary (base 2) | 110101100100 |
| Octal (base 8) | 6544 |
| Hexadecimal (base 16) | D64 |
| Base 3 | 11200222 |
| As time | 3428 seconds = 57 min 8 s |
Is 3428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3428 ÷ 2 = 1714) | 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 (3428 ÷ 4 = 857) | 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 5) | 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 8) | 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 7) | 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 3428 a prime number?
No. 3428 = × 857, so it is divisible by 2.
What are the factors of 3428?
1, 2, 4, 857, 1714, 3428.
What is 3428 in binary?
110101100100 (hexadecimal D64, octal 6544).
What is the square root of 3428?
About 58.5491, exactly 2√857.
What is 3428 in Roman numerals?
MMMCDXXVIII.
Is 3428 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3428?
It is a composite number with 6 divisors.