The number 67468
67468 is a composite number with 12 divisors. Its prime factorisation is × 101 × 167. Divisors (12): 1, 2, 4, 101, 167, 202, 334, 404, 668, 16867, 33734, 67468.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67468 is composite. Its prime factorisation is
- 3
The divisors add up to 119952; without 67468 itself that is 52484, so 67468 is deficient (52484 is less than 67468). Euler's totient φ(67468) = 33200 numbers up to 67468 share no factor with it.
- 4
The digits of 67468 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67468 = 2^{2} \times 101 \times 167 \]67468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 119952 |
| Euler totient φ(n) | 33200 |
| Square | 4551931024 |
| Cube | 307109682327232 |
| Square root | 259.746030 (= 2√16867) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7468 × |
67468 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and sixty-eight |
| Binary (base 2) | 10000011110001100 |
| Octal (base 8) | 203614 |
| Hexadecimal (base 16) | 1078C |
| Base 3 | 10102112211 |
| As time | 67468 seconds = 18 h 44 min 28 s |
Is 67468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67468 ÷ 2 = 33734) | 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 (67468 ÷ 4 = 16867) | 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 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 4) | 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 5) | 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 67468 a prime number?
No. 67468 = × 101 × 167, so it is divisible by 2.
What are the factors of 67468?
1, 2, 4, 101, 167, 202, 334, 404, 668, 16867, 33734, 67468.
What is 67468 in binary?
10000011110001100 (hexadecimal 1078C, octal 203614).
What is the square root of 67468?
About 259.7460, exactly 2√16867.
Is 67468 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67468?
It is a composite number with 12 divisors.