The number 6948
6948 is a composite number with 18 divisors. Its prime factorisation is × × 193. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316 … 6948.
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How to work it out
- 1
6948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6948 is composite. Its prime factorisation is
- 3
The divisors add up to 17654; without 6948 itself that is 10706, so 6948 is abundant (10706 is more than 6948). Euler's totient φ(6948) = 2304 numbers up to 6948 share no factor with it.
- 4
The digits of 6948 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6948 = 2^{2} \times 3^{2} \times 193 \]6948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 17654 |
| Euler totient φ(n) | 2304 |
| Square | 48274704 |
| Cube | 335412643392 |
| Square root | 83.354664 (= 6√193) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.948 × |
6948 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and forty-eight |
| Binary (base 2) | 1101100100100 |
| Octal (base 8) | 15444 |
| Hexadecimal (base 16) | 1B24 |
| Base 3 | 100112100 |
| As time | 6948 seconds = 1 h 55 min 48 s |
Is 6948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6948 ÷ 2 = 3474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6948 ÷ 3 = 2316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6948 ÷ 4 = 1737) | 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 | Yes (6948 ÷ 6 = 1158) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (6948 ÷ 9 = 772) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6948 ÷ 12 = 579) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6948 a prime number?
No. 6948 = × × 193, so it is divisible by 2.
What are the factors of 6948?
1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948.
What is 6948 in binary?
1101100100100 (hexadecimal 1B24, octal 15444).
What is the square root of 6948?
About 83.3547, exactly 6√193.
Is 6948 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6948?
It is a composite number with 18 divisors.