The number 67748
67748 is a composite number with 6 divisors. Its prime factorisation is × 16937. Divisors (6): 1, 2, 4, 16937, 33874, 67748.
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How to work it out
- 1
67748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67748 is composite. Its prime factorisation is
- 3
The divisors add up to 118566; without 67748 itself that is 50818, so 67748 is deficient (50818 is less than 67748). Euler's totient φ(67748) = 33872 numbers up to 67748 share no factor with it.
- 4
The digits of 67748 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67748 = 2^{2} \times 16937 \]67748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 118566 |
| Euler totient φ(n) | 33872 |
| Square | 4589791504 |
| Cube | 310949194812992 |
| Square root | 260.284460 (= 2√16937) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.7748 × |
67748 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and forty-eight |
| Binary (base 2) | 10000100010100100 |
| Octal (base 8) | 204244 |
| Hexadecimal (base 16) | 108A4 |
| Base 3 | 10102221012 |
| As time | 67748 seconds = 18 h 49 min 8 s |
Is 67748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67748 ÷ 2 = 33874) | 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 (67748 ÷ 4 = 16937) | 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 2) | 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 10) | 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 67748 a prime number?
No. 67748 = × 16937, so it is divisible by 2.
What are the factors of 67748?
1, 2, 4, 16937, 33874, 67748.
What is 67748 in binary?
10000100010100100 (hexadecimal 108A4, octal 204244).
What is the square root of 67748?
About 260.2845, exactly 2√16937.
Is 67748 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 67748?
It is a composite number with 6 divisors.