The number 26005
26005 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 743. Divisors (8): 1, 5, 7, 35, 743, 3715, 5201, 26005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26005 is composite. Its prime factorisation is
- 3
The divisors add up to 35712; without 26005 itself that is 9707, so 26005 is deficient (9707 is less than 26005). Euler's totient φ(26005) = 17808 numbers up to 26005 share no factor with it.
- 4
The digits of 26005 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26005 = 5 \times 7 \times 743 \]
26005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 35712 |
| Euler totient φ(n) | 17808 |
| Square | 676260025 |
| Cube | 17586141950125 |
| Square root | 161.260659 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6005 × |
26005 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and five |
| Binary (base 2) | 110010110010101 |
| Octal (base 8) | 62625 |
| Hexadecimal (base 16) | 6595 |
| Base 3 | 1022200011 |
| As time | 26005 seconds = 7 h 13 min 25 s |
Is 26005 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26005 ÷ 5 = 5201) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26005 ÷ 7 = 3715) | 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 5) | 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 5) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26005 a prime number?
No. 26005 = 5 × 7 × 743, so it is divisible by 5.
What are the factors of 26005?
1, 5, 7, 35, 743, 3715, 5201, 26005.
What is 26005 in binary?
110010110010101 (hexadecimal 6595, octal 62625).
What is the square root of 26005?
About 161.2607.
Is 26005 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 26005?
It is a composite number with 8 divisors.