The number 26884
26884 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 47. Divisors (24): 1, 2, 4, 11, 13, 22, 26, 44, 47, 52, 94, 143, 188, 286, 517, 572 … 26884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26884 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 26884 itself that is 29564, so 26884 is abundant (29564 is more than 26884). Euler's totient φ(26884) = 11040 numbers up to 26884 share no factor with it.
- 4
The digits of 26884 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26884 = 2^{2} \times 11 \times 13 \times 47 \]26884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 11040 |
| Square | 722749456 |
| Cube | 19430396375104 |
| Square root | 163.963411 (= 2√6721) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6884 × |
26884 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and eighty-four |
| Binary (base 2) | 110100100000100 |
| Octal (base 8) | 64404 |
| Hexadecimal (base 16) | 6904 |
| Base 3 | 1100212201 |
| As time | 26884 seconds = 7 h 28 min 4 s |
Is 26884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26884 ÷ 2 = 13442) | 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 (26884 ÷ 4 = 6721) | 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 | 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 1) | 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 | Yes (26884 ÷ 11 = 2444) | 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 26884 a prime number?
No. 26884 = × 11 × 13 × 47, so it is divisible by 2.
What are the factors of 26884?
1, 2, 4, 11, 13, 22, 26, 44, 47, 52, 94, 143, 188, 286, 517, 572, 611, 1034, 1222, 2068, 2444, 6721, 13442, 26884.
What is 26884 in binary?
110100100000100 (hexadecimal 6904, octal 64404).
What is the square root of 26884?
About 163.9634, exactly 2√6721.
Is 26884 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 26884?
It is a composite number with 24 divisors.