The number 26784
26784 is a composite number with 48 divisors. Its prime factorisation is × × 31. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 32, 36, 48 … 26784.
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How to work it out
- 1
What is special about 26784: a Harshad number: divisible by its digit sum 27.
- 2
26784 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 26784 itself that is 53856, so 26784 is abundant (53856 is more than 26784). Euler's totient φ(26784) = 8640 numbers up to 26784 share no factor with it.
- 4
The digits of 26784 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
\[ 26784 = 2^{5} \times 3^{3} \times 31 \]26784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 8640 |
| Square | 717382656 |
| Cube | 19214377058304 |
| Square root | 163.658180 (= 12√186) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6784 × |
26784 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and eighty-four |
| Binary (base 2) | 110100010100000 |
| Octal (base 8) | 64240 |
| Hexadecimal (base 16) | 68A0 |
| Base 3 | 1100202000 |
| As time | 26784 seconds = 7 h 26 min 24 s |
Is 26784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26784 ÷ 2 = 13392) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26784 ÷ 3 = 8928) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26784 ÷ 4 = 6696) | 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 | Yes (26784 ÷ 6 = 4464) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (26784 ÷ 8 = 3348) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26784 ÷ 9 = 2976) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26784 ÷ 12 = 2232) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26784 a prime number?
No. 26784 = × × 31, so it is divisible by 2.
What are the factors of 26784?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 32, 36, 48, 54, 62, 72, 93, 96, 108, 124, 144, 186, 216, 248, 279, 288, 372, 432, 496, 558, 744, 837, 864, 992, 1116, 1488, 1674, 2232, 2976, 3348, 4464, 6696, 8928, 13392, 26784.
What is 26784 in binary?
110100010100000 (hexadecimal 68A0, octal 64240).
What is the square root of 26784?
About 163.6582, exactly 12√186.
Is 26784 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26784?
26784 is a Harshad number: divisible by its digit sum 27.