The number 26764
26764 is a composite number with 6 divisors. Its prime factorisation is × 6691. Divisors (6): 1, 2, 4, 6691, 13382, 26764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26764 is composite. Its prime factorisation is
- 3
The divisors add up to 46844; without 26764 itself that is 20080, so 26764 is deficient (20080 is less than 26764). Euler's totient φ(26764) = 13380 numbers up to 26764 share no factor with it.
- 4
The digits of 26764 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26764 = 2^{2} \times 6691 \]26764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 46844 |
| Euler totient φ(n) | 13380 |
| Square | 716311696 |
| Cube | 19171366231744 |
| Square root | 163.597066 (= 2√6691) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6764 × |
26764 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and sixty-four |
| Binary (base 2) | 110100010001100 |
| Octal (base 8) | 64214 |
| Hexadecimal (base 16) | 688C |
| Base 3 | 1100201021 |
| As time | 26764 seconds = 7 h 26 min 4 s |
Is 26764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26764 ÷ 2 = 13382) | 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 (26764 ÷ 4 = 6691) | 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 3) | 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 4) | 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 1) | 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 26764 a prime number?
No. 26764 = × 6691, so it is divisible by 2.
What are the factors of 26764?
1, 2, 4, 6691, 13382, 26764.
What is 26764 in binary?
110100010001100 (hexadecimal 688C, octal 64214).
What is the square root of 26764?
About 163.5971, exactly 2√6691.
Is 26764 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 26764?
It is a composite number with 6 divisors.