The number 67948
67948 is a composite number with 6 divisors. Its prime factorisation is × 16987. Divisors (6): 1, 2, 4, 16987, 33974, 67948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67948 is composite. Its prime factorisation is
- 3
The divisors add up to 118916; without 67948 itself that is 50968, so 67948 is deficient (50968 is less than 67948). Euler's totient φ(67948) = 33972 numbers up to 67948 share no factor with it.
- 4
The digits of 67948 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67948 = 2^{2} \times 16987 \]67948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 118916 |
| Euler totient φ(n) | 33972 |
| Square | 4616930704 |
| Cube | 313711207475392 |
| Square root | 260.668372 (= 2√16987) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7948 × |
67948 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and forty-eight |
| Binary (base 2) | 10000100101101100 |
| Octal (base 8) | 204554 |
| Hexadecimal (base 16) | 1096C |
| Base 3 | 10110012121 |
| As time | 67948 seconds = 18 h 52 min 28 s |
Is 67948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67948 ÷ 2 = 33974) | 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 (67948 ÷ 4 = 16987) | 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 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 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 | No (remainder 1) | 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 67948 a prime number?
No. 67948 = × 16987, so it is divisible by 2.
What are the factors of 67948?
1, 2, 4, 16987, 33974, 67948.
What is 67948 in binary?
10000100101101100 (hexadecimal 1096C, octal 204554).
What is the square root of 67948?
About 260.6684, exactly 2√16987.
Is 67948 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 67948?
It is a composite number with 6 divisors.