The number 26109
26109 is a composite number with 8 divisors. Its prime factorisation is × 967. Divisors (8): 1, 3, 9, 27, 967, 2901, 8703, 26109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26109 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26109 is composite. Its prime factorisation is
- 3
The divisors add up to 38720; without 26109 itself that is 12611, so 26109 is deficient (12611 is less than 26109). Euler's totient φ(26109) = 17388 numbers up to 26109 share no factor with it.
- 4
The digits of 26109 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26109 = 3^{3} \times 967 \]26109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38720 |
| Euler totient φ(n) | 17388 |
| Square | 681679881 |
| Cube | 17797980013029 |
| Square root | 161.582796 (= 3√2901) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6109 × |
26109 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand one hundred and nine |
| Binary (base 2) | 110010111111101 |
| Octal (base 8) | 62775 |
| Hexadecimal (base 16) | 65FD |
| Base 3 | 1022211000 |
| As time | 26109 seconds = 7 h 15 min 9 s |
Is 26109 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 | Yes (26109 ÷ 3 = 8703) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26109 ÷ 9 = 2901) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26109 a prime number?
No. 26109 = × 967, so it is divisible by 3.
What are the factors of 26109?
1, 3, 9, 27, 967, 2901, 8703, 26109.
What is 26109 in binary?
110010111111101 (hexadecimal 65FD, octal 62775).
What is the square root of 26109?
About 161.5828, exactly 3√2901.
Is 26109 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 26109?
It is a composite number with 8 divisors.