The number 26748
26748 is a composite number with 18 divisors. Its prime factorisation is × × 743. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 743, 1486, 2229, 2972, 4458, 6687, 8916 … 26748.
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How to work it out
- 1
26748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26748 is composite. Its prime factorisation is
- 3
The divisors add up to 67704; without 26748 itself that is 40956, so 26748 is abundant (40956 is more than 26748). Euler's totient φ(26748) = 8904 numbers up to 26748 share no factor with it.
- 4
The digits of 26748 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26748 = 2^{2} \times 3^{2} \times 743 \]26748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 67704 |
| Euler totient φ(n) | 8904 |
| Square | 715455504 |
| Cube | 19137003820992 |
| Square root | 163.548158 (= 6√743) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.6748 × |
26748 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and forty-eight |
| Binary (base 2) | 110100001111100 |
| Octal (base 8) | 64174 |
| Hexadecimal (base 16) | 687C |
| Base 3 | 1100200200 |
| As time | 26748 seconds = 7 h 25 min 48 s |
Is 26748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26748 ÷ 2 = 13374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26748 ÷ 3 = 8916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26748 ÷ 4 = 6687) | 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 | Yes (26748 ÷ 6 = 4458) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26748 ÷ 9 = 2972) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26748 ÷ 12 = 2229) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26748 a prime number?
No. 26748 = × × 743, so it is divisible by 2.
What are the factors of 26748?
1, 2, 3, 4, 6, 9, 12, 18, 36, 743, 1486, 2229, 2972, 4458, 6687, 8916, 13374, 26748.
What is 26748 in binary?
110100001111100 (hexadecimal 687C, octal 64174).
What is the square root of 26748?
About 163.5482, exactly 6√743.
Is 26748 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26748?
It is a composite number with 18 divisors.