The number 3368
3368 is a composite number with 8 divisors. Its prime factorisation is × 421. Divisors (8): 1, 2, 4, 8, 421, 842, 1684, 3368.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3368 is composite. Its prime factorisation is
- 3
The divisors add up to 6330; without 3368 itself that is 2962, so 3368 is deficient (2962 is less than 3368). Euler's totient φ(3368) = 1680 numbers up to 3368 share no factor with it.
- 4
The digits of 3368 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3368 = 2^{3} \times 421 \]3368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6330 |
| Euler totient φ(n) | 1680 |
| Square | 11343424 |
| Cube | 38204652032 |
| Square root | 58.034473 (= 2√842) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.368 × |
3368 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and sixty-eight |
| Roman numerals | MMMCCCLXVIII |
| Binary (base 2) | 110100101000 |
| Octal (base 8) | 6450 |
| Hexadecimal (base 16) | D28 |
| Base 3 | 11121202 |
| As time | 3368 seconds = 56 min 8 s |
Is 3368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3368 ÷ 2 = 1684) | 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 (3368 ÷ 4 = 842) | 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 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 (3368 ÷ 8 = 421) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 3368 a prime number?
No. 3368 = × 421, so it is divisible by 2.
What are the factors of 3368?
1, 2, 4, 8, 421, 842, 1684, 3368.
What is 3368 in binary?
110100101000 (hexadecimal D28, octal 6450).
What is the square root of 3368?
About 58.0345, exactly 2√842.
What is 3368 in Roman numerals?
MMMCCCLXVIII.
Is 3368 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3368?
It is a composite number with 8 divisors.