The number 26996
26996 is a composite number with 12 divisors. Its prime factorisation is × 17 × 397. Divisors (12): 1, 2, 4, 17, 34, 68, 397, 794, 1588, 6749, 13498, 26996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26996 is composite. Its prime factorisation is
- 3
The divisors add up to 50148; without 26996 itself that is 23152, so 26996 is deficient (23152 is less than 26996). Euler's totient φ(26996) = 12672 numbers up to 26996 share no factor with it.
- 4
The digits of 26996 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26996 = 2^{2} \times 17 \times 397 \]26996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50148 |
| Euler totient φ(n) | 12672 |
| Square | 728784016 |
| Cube | 19674253295936 |
| Square root | 164.304595 (= 2√6749) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6996 × |
26996 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and ninety-six |
| Binary (base 2) | 110100101110100 |
| Octal (base 8) | 64564 |
| Hexadecimal (base 16) | 6974 |
| Base 3 | 1101000212 |
| As time | 26996 seconds = 7 h 29 min 56 s |
Is 26996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26996 ÷ 2 = 13498) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26996 ÷ 4 = 6749) | 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 2) | 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 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26996 a prime number?
No. 26996 = × 17 × 397, so it is divisible by 2.
What are the factors of 26996?
1, 2, 4, 17, 34, 68, 397, 794, 1588, 6749, 13498, 26996.
What is 26996 in binary?
110100101110100 (hexadecimal 6974, octal 64564).
What is the square root of 26996?
About 164.3046, exactly 2√6749.
Is 26996 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 26996?
It is a composite number with 12 divisors.