The number 26704
26704 is a composite number with 10 divisors. Its prime factorisation is × 1669. Divisors (10): 1, 2, 4, 8, 16, 1669, 3338, 6676, 13352, 26704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26704 is composite. Its prime factorisation is
- 3
The divisors add up to 51770; without 26704 itself that is 25066, so 26704 is deficient (25066 is less than 26704). Euler's totient φ(26704) = 13344 numbers up to 26704 share no factor with it.
- 4
The digits of 26704 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26704 = 2^{4} \times 1669 \]26704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 51770 |
| Euler totient φ(n) | 13344 |
| Square | 713103616 |
| Cube | 19042718961664 |
| Square root | 163.413586 (= 4√1669) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6704 × |
26704 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and four |
| Binary (base 2) | 110100001010000 |
| Octal (base 8) | 64120 |
| Hexadecimal (base 16) | 6850 |
| Base 3 | 1100122001 |
| As time | 26704 seconds = 7 h 25 min 4 s |
Is 26704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26704 ÷ 2 = 13352) | 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 (26704 ÷ 4 = 6676) | 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 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 | Yes (26704 ÷ 8 = 3338) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | 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 26704 a prime number?
No. 26704 = × 1669, so it is divisible by 2.
What are the factors of 26704?
1, 2, 4, 8, 16, 1669, 3338, 6676, 13352, 26704.
What is 26704 in binary?
110100001010000 (hexadecimal 6850, octal 64120).
What is the square root of 26704?
About 163.4136, exactly 4√1669.
Is 26704 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 26704?
It is a composite number with 10 divisors.