The number 26746
26746 is a composite number with 8 divisors. Its prime factorisation is 2 × 43 × 311. Divisors (8): 1, 2, 43, 86, 311, 622, 13373, 26746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26746 is composite. Its prime factorisation is
- 3
The divisors add up to 41184; without 26746 itself that is 14438, so 26746 is deficient (14438 is less than 26746). Euler's totient φ(26746) = 13020 numbers up to 26746 share no factor with it.
- 4
The digits of 26746 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
\[ 26746 = 2 \times 43 \times 311 \]
26746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41184 |
| Euler totient φ(n) | 13020 |
| Square | 715348516 |
| Cube | 19132711408936 |
| Square root | 163.542044 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6746 × |
26746 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and forty-six |
| Binary (base 2) | 110100001111010 |
| Octal (base 8) | 64172 |
| Hexadecimal (base 16) | 687A |
| Base 3 | 1100200121 |
| As time | 26746 seconds = 7 h 25 min 46 s |
Is 26746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26746 ÷ 2 = 13373) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26746 a prime number?
No. 26746 = 2 × 43 × 311, so it is divisible by 2.
What are the factors of 26746?
1, 2, 43, 86, 311, 622, 13373, 26746.
What is 26746 in binary?
110100001111010 (hexadecimal 687A, octal 64172).
What is the square root of 26746?
About 163.5420.
Is 26746 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 26746?
It is a composite number with 8 divisors.