The number 6946
6946 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 151. Divisors (8): 1, 2, 23, 46, 151, 302, 3473, 6946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6946 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6946 is composite. Its prime factorisation is
- 3
The divisors add up to 10944; without 6946 itself that is 3998, so 6946 is deficient (3998 is less than 6946). Euler's totient φ(6946) = 3300 numbers up to 6946 share no factor with it.
- 4
The digits of 6946 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6946 = 2 \times 23 \times 151 \]
6946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10944 |
| Euler totient φ(n) | 3300 |
| Square | 48246916 |
| Cube | 335123078536 |
| Square root | 83.342666 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.946 × |
6946 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and forty-six |
| Binary (base 2) | 1101100100010 |
| Octal (base 8) | 15442 |
| Hexadecimal (base 16) | 1B22 |
| Base 3 | 100112021 |
| As time | 6946 seconds = 1 h 55 min 46 s |
Is 6946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6946 ÷ 2 = 3473) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6946 a prime number?
No. 6946 = 2 × 23 × 151, so it is divisible by 2.
What are the factors of 6946?
1, 2, 23, 46, 151, 302, 3473, 6946.
What is 6946 in binary?
1101100100010 (hexadecimal 1B22, octal 15442).
What is the square root of 6946?
About 83.3427.
Is 6946 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 6946?
It is a composite number with 8 divisors.