The number 6996
6996 is a palindrome: it reads 6996 backwards too. Its prime factorisation is × 3 × 11 × 53. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212 … 6996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6996: a palindrome: it reads 6996 backwards too.
- 2
6996 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 6996 itself that is 11148, so 6996 is abundant (11148 is more than 6996). Euler's totient φ(6996) = 2080 numbers up to 6996 share no factor with it.
- 4
The digits of 6996 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6996 = 2^{2} \times 3 \times 11 \times 53 \]6996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 2080 |
| Square | 48944016 |
| Cube | 342412335936 |
| Square root | 83.642095 (= 2√1749) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 119 |
| Scientific notation | 6.996 × |
6996 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and ninety-six |
| Binary (base 2) | 1101101010100 |
| Octal (base 8) | 15524 |
| Hexadecimal (base 16) | 1B54 |
| Base 3 | 100121010 |
| As time | 6996 seconds = 1 h 56 min 36 s |
Is 6996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6996 ÷ 2 = 3498) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6996 ÷ 3 = 2332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6996 ÷ 4 = 1749) | 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 | Yes (6996 ÷ 6 = 1166) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 | Yes (6996 ÷ 11 = 636) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6996 ÷ 12 = 583) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6996 a prime number?
No. 6996 = × 3 × 11 × 53, so it is divisible by 2.
What are the factors of 6996?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996.
What is 6996 in binary?
1101101010100 (hexadecimal 1B54, octal 15524).
What is the square root of 6996?
About 83.6421, exactly 2√1749.
Is 6996 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 6996?
6996 is a palindrome: it reads 6996 backwards too.