The number 26788
26788 is a composite number with 12 divisors. Its prime factorisation is × 37 × 181. Divisors (12): 1, 2, 4, 37, 74, 148, 181, 362, 724, 6697, 13394, 26788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26788 is composite. Its prime factorisation is
- 3
The divisors add up to 48412; without 26788 itself that is 21624, so 26788 is deficient (21624 is less than 26788). Euler's totient φ(26788) = 12960 numbers up to 26788 share no factor with it.
- 4
The digits of 26788 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26788 = 2^{2} \times 37 \times 181 \]26788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48412 |
| Euler totient φ(n) | 12960 |
| Square | 717596944 |
| Cube | 19222986935872 |
| Square root | 163.670401 (= 2√6697) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.6788 × |
26788 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and eighty-eight |
| Binary (base 2) | 110100010100100 |
| Octal (base 8) | 64244 |
| Hexadecimal (base 16) | 68A4 |
| Base 3 | 1100202011 |
| As time | 26788 seconds = 7 h 26 min 28 s |
Is 26788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26788 ÷ 2 = 13394) | 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 (26788 ÷ 4 = 6697) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26788 a prime number?
No. 26788 = × 37 × 181, so it is divisible by 2.
What are the factors of 26788?
1, 2, 4, 37, 74, 148, 181, 362, 724, 6697, 13394, 26788.
What is 26788 in binary?
110100010100100 (hexadecimal 68A4, octal 64244).
What is the square root of 26788?
About 163.6704, exactly 2√6697.
Is 26788 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 26788?
It is a composite number with 12 divisors.