The number 26944
26944 is a composite number with 14 divisors. Its prime factorisation is × 421. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 421, 842, 1684, 3368, 6736, 13472, 26944.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26944 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26944 is composite. Its prime factorisation is
- 3
The divisors add up to 53594; without 26944 itself that is 26650, so 26944 is deficient (26650 is less than 26944). Euler's totient φ(26944) = 13440 numbers up to 26944 share no factor with it.
- 4
The digits of 26944 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26944 = 2^{6} \times 421 \]26944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 53594 |
| Euler totient φ(n) | 13440 |
| Square | 725979136 |
| Cube | 19560781840384 |
| Square root | 164.146276 (= 8√421) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6944 × |
26944 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and forty-four |
| Binary (base 2) | 110100101000000 |
| Octal (base 8) | 64500 |
| Hexadecimal (base 16) | 6940 |
| Base 3 | 1100221221 |
| As time | 26944 seconds = 7 h 29 min 4 s |
Is 26944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26944 ÷ 2 = 13472) | 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 (26944 ÷ 4 = 6736) | 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 1) | 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 (26944 ÷ 8 = 3368) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 26944 a prime number?
No. 26944 = × 421, so it is divisible by 2.
What are the factors of 26944?
1, 2, 4, 8, 16, 32, 64, 421, 842, 1684, 3368, 6736, 13472, 26944.
What is 26944 in binary?
110100101000000 (hexadecimal 6940, octal 64500).
What is the square root of 26944?
About 164.1463, exactly 8√421.
Is 26944 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 26944?
It is a composite number with 14 divisors.