The number 3408
3408 is a composite number with 20 divisors. Its prime factorisation is × 3 × 71. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568 … 3408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3408 is composite. Its prime factorisation is
- 3
The divisors add up to 8928; without 3408 itself that is 5520, so 3408 is abundant (5520 is more than 3408). Euler's totient φ(3408) = 1120 numbers up to 3408 share no factor with it.
- 4
The digits of 3408 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 17 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3408 = 2^{4} \times 3 \times 71 \]3408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 8928 |
| Euler totient φ(n) | 1120 |
| Square | 11614464 |
| Cube | 39582093312 |
| Square root | 58.378078 (= 4√213) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 17 |
| Scientific notation | 3.408 × |
3408 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and eight |
| Roman numerals | MMMCDVIII |
| Binary (base 2) | 110101010000 |
| Octal (base 8) | 6520 |
| Hexadecimal (base 16) | D50 |
| Base 3 | 11200020 |
| As time | 3408 seconds = 56 min 48 s |
Is 3408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3408 ÷ 2 = 1704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3408 ÷ 3 = 1136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3408 ÷ 4 = 852) | 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 | Yes (3408 ÷ 6 = 568) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (3408 ÷ 8 = 426) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3408 ÷ 12 = 284) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3408 a prime number?
No. 3408 = × 3 × 71, so it is divisible by 2.
What are the factors of 3408?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408.
What is 3408 in binary?
110101010000 (hexadecimal D50, octal 6520).
What is the square root of 3408?
About 58.3781, exactly 4√213.
What is 3408 in Roman numerals?
MMMCDVIII.
Is 3408 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3408?
It is a composite number with 20 divisors.