The number 67408
67408 is a composite number with 20 divisors. Its prime factorisation is × 11 × 383. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 383, 766, 1532, 3064, 4213, 6128 … 67408.
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How to work it out
- 1
67408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67408 is composite. Its prime factorisation is
- 3
The divisors add up to 142848; without 67408 itself that is 75440, so 67408 is abundant (75440 is more than 67408). Euler's totient φ(67408) = 30560 numbers up to 67408 share no factor with it.
- 4
The digits of 67408 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67408 = 2^{4} \times 11 \times 383 \]67408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 142848 |
| Euler totient φ(n) | 30560 |
| Square | 4543838464 |
| Cube | 306291063181312 |
| Square root | 259.630507 (= 4√4213) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7408 × |
67408 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and eight |
| Binary (base 2) | 10000011101010000 |
| Octal (base 8) | 203520 |
| Hexadecimal (base 16) | 10750 |
| Base 3 | 10102110121 |
| As time | 67408 seconds = 18 h 43 min 28 s |
Is 67408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67408 ÷ 2 = 33704) | 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 (67408 ÷ 4 = 16852) | 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 4) | 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 | Yes (67408 ÷ 8 = 8426) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (67408 ÷ 11 = 6128) | 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 67408 a prime number?
No. 67408 = × 11 × 383, so it is divisible by 2.
What are the factors of 67408?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 383, 766, 1532, 3064, 4213, 6128, 8426, 16852, 33704, 67408.
What is 67408 in binary?
10000011101010000 (hexadecimal 10750, octal 203520).
What is the square root of 67408?
About 259.6305, exactly 4√4213.
Is 67408 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67408?
It is a composite number with 20 divisors.