The number 26829
26829 is a composite number with 12 divisors. Its prime factorisation is × 11 × 271. Divisors (12): 1, 3, 9, 11, 33, 99, 271, 813, 2439, 2981, 8943, 26829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26829 is composite. Its prime factorisation is
- 3
The divisors add up to 42432; without 26829 itself that is 15603, so 26829 is deficient (15603 is less than 26829). Euler's totient φ(26829) = 16200 numbers up to 26829 share no factor with it.
- 4
The digits of 26829 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26829 = 3^{2} \times 11 \times 271 \]26829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42432 |
| Euler totient φ(n) | 16200 |
| Square | 719795241 |
| Cube | 19311386520789 |
| Square root | 163.795604 (= 3√2981) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6829 × |
26829 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and twenty-nine |
| Binary (base 2) | 110100011001101 |
| Octal (base 8) | 64315 |
| Hexadecimal (base 16) | 68CD |
| Base 3 | 1100210200 |
| As time | 26829 seconds = 7 h 27 min 9 s |
Is 26829 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26829 ÷ 3 = 8943) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26829 ÷ 9 = 2981) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (26829 ÷ 11 = 2439) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26829 a prime number?
No. 26829 = × 11 × 271, so it is divisible by 3.
What are the factors of 26829?
1, 3, 9, 11, 33, 99, 271, 813, 2439, 2981, 8943, 26829.
What is 26829 in binary?
110100011001101 (hexadecimal 68CD, octal 64315).
What is the square root of 26829?
About 163.7956, exactly 3√2981.
Is 26829 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26829?
It is a composite number with 12 divisors.