The number 26744
26744 is a composite number with 8 divisors. Its prime factorisation is × 3343. Divisors (8): 1, 2, 4, 8, 3343, 6686, 13372, 26744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26744 is composite. Its prime factorisation is
- 3
The divisors add up to 50160; without 26744 itself that is 23416, so 26744 is deficient (23416 is less than 26744). Euler's totient φ(26744) = 13368 numbers up to 26744 share no factor with it.
- 4
The digits of 26744 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26744 = 2^{3} \times 3343 \]26744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50160 |
| Euler totient φ(n) | 13368 |
| Square | 715241536 |
| Cube | 19128419638784 |
| Square root | 163.535929 (= 2√6686) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6744 × |
26744 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and forty-four |
| Binary (base 2) | 110100001111000 |
| Octal (base 8) | 64170 |
| Hexadecimal (base 16) | 6878 |
| Base 3 | 1100200112 |
| As time | 26744 seconds = 7 h 25 min 44 s |
Is 26744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26744 ÷ 2 = 13372) | 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 (26744 ÷ 4 = 6686) | 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 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 | Yes (26744 ÷ 8 = 3343) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 26744 a prime number?
No. 26744 = × 3343, so it is divisible by 2.
What are the factors of 26744?
1, 2, 4, 8, 3343, 6686, 13372, 26744.
What is 26744 in binary?
110100001111000 (hexadecimal 6878, octal 64170).
What is the square root of 26744?
About 163.5359, exactly 2√6686.
Is 26744 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 26744?
It is a composite number with 8 divisors.