The number 26804
26804 is a composite number with 6 divisors. Its prime factorisation is × 6701. Divisors (6): 1, 2, 4, 6701, 13402, 26804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26804 is composite. Its prime factorisation is
- 3
The divisors add up to 46914; without 26804 itself that is 20110, so 26804 is deficient (20110 is less than 26804). Euler's totient φ(26804) = 13400 numbers up to 26804 share no factor with it.
- 4
The digits of 26804 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26804 = 2^{2} \times 6701 \]26804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 46914 |
| Euler totient φ(n) | 13400 |
| Square | 718454416 |
| Cube | 19257452166464 |
| Square root | 163.719272 (= 2√6701) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6804 × |
26804 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and four |
| Binary (base 2) | 110100010110100 |
| Octal (base 8) | 64264 |
| Hexadecimal (base 16) | 68B4 |
| Base 3 | 1100202202 |
| As time | 26804 seconds = 7 h 26 min 44 s |
Is 26804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26804 ÷ 2 = 13402) | 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 (26804 ÷ 4 = 6701) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 26804 a prime number?
No. 26804 = × 6701, so it is divisible by 2.
What are the factors of 26804?
1, 2, 4, 6701, 13402, 26804.
What is 26804 in binary?
110100010110100 (hexadecimal 68B4, octal 64264).
What is the square root of 26804?
About 163.7193, exactly 2√6701.
Is 26804 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26804?
It is a composite number with 6 divisors.