The number 26741
26741 is a composite number with 12 divisors. Its prime factorisation is × 13 × 17. Divisors (12): 1, 11, 13, 17, 121, 143, 187, 221, 1573, 2057, 2431, 26741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26741 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26741 is composite. Its prime factorisation is
- 3
The divisors add up to 33516; without 26741 itself that is 6775, so 26741 is deficient (6775 is less than 26741). Euler's totient φ(26741) = 21120 numbers up to 26741 share no factor with it.
- 4
The digits of 26741 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26741 = 11^{2} \times 13 \times 17 \]26741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33516 |
| Euler totient φ(n) | 21120 |
| Square | 715081081 |
| Cube | 19121983187021 |
| Square root | 163.526756 (= 11√221) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6741 × |
26741 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and forty-one |
| Binary (base 2) | 110100001110101 |
| Octal (base 8) | 64165 |
| Hexadecimal (base 16) | 6875 |
| Base 3 | 1100200102 |
| As time | 26741 seconds = 7 h 25 min 41 s |
Is 26741 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 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (26741 ÷ 11 = 2431) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26741 a prime number?
No. 26741 = × 13 × 17, so it is divisible by 11.
What are the factors of 26741?
1, 11, 13, 17, 121, 143, 187, 221, 1573, 2057, 2431, 26741.
What is 26741 in binary?
110100001110101 (hexadecimal 6875, octal 64165).
What is the square root of 26741?
About 163.5268, exactly 11√221.
Is 26741 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26741?
It is a composite number with 12 divisors.