The number 67388
67388 is a composite number with 12 divisors. Its prime factorisation is × 17 × 991. Divisors (12): 1, 2, 4, 17, 34, 68, 991, 1982, 3964, 16847, 33694, 67388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67388 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 67388 itself that is 57604, so 67388 is deficient (57604 is less than 67388). Euler's totient φ(67388) = 31680 numbers up to 67388 share no factor with it.
- 4
The digits of 67388 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67388 = 2^{2} \times 17 \times 991 \]67388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 31680 |
| Square | 4541142544 |
| Cube | 306018513755072 |
| Square root | 259.591988 (= 2√16847) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7388 × |
67388 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and eighty-eight |
| Binary (base 2) | 10000011100111100 |
| Octal (base 8) | 203474 |
| Hexadecimal (base 16) | 1073C |
| Base 3 | 10102102212 |
| As time | 67388 seconds = 18 h 43 min 8 s |
Is 67388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67388 ÷ 2 = 33694) | 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 (67388 ÷ 4 = 16847) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 67388 a prime number?
No. 67388 = × 17 × 991, so it is divisible by 2.
What are the factors of 67388?
1, 2, 4, 17, 34, 68, 991, 1982, 3964, 16847, 33694, 67388.
What is 67388 in binary?
10000011100111100 (hexadecimal 1073C, octal 203474).
What is the square root of 67388?
About 259.5920, exactly 2√16847.
Is 67388 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 67388?
It is a composite number with 12 divisors.