The number 26824
26824 is a composite number with 16 divisors. Its prime factorisation is × 7 × 479. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 479, 958, 1916, 3353, 3832, 6706, 13412, 26824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26824 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 26824 itself that is 30776, so 26824 is abundant (30776 is more than 26824). Euler's totient φ(26824) = 11472 numbers up to 26824 share no factor with it.
- 4
The digits of 26824 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26824 = 2^{3} \times 7 \times 479 \]26824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 11472 |
| Square | 719526976 |
| Cube | 19300591604224 |
| Square root | 163.780341 (= 2√6706) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6824 × |
26824 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and twenty-four |
| Binary (base 2) | 110100011001000 |
| Octal (base 8) | 64310 |
| Hexadecimal (base 16) | 68C8 |
| Base 3 | 1100210111 |
| As time | 26824 seconds = 7 h 27 min 4 s |
Is 26824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26824 ÷ 2 = 13412) | 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 | Yes (26824 ÷ 4 = 6706) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26824 ÷ 7 = 3832) | 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 | Yes (26824 ÷ 8 = 3353) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26824 a prime number?
No. 26824 = × 7 × 479, so it is divisible by 2.
What are the factors of 26824?
1, 2, 4, 7, 8, 14, 28, 56, 479, 958, 1916, 3353, 3832, 6706, 13412, 26824.
What is 26824 in binary?
110100011001000 (hexadecimal 68C8, octal 64310).
What is the square root of 26824?
About 163.7803, exactly 2√6706.
Is 26824 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 26824?
It is a composite number with 16 divisors.