The number 26026
26026 is a composite number with 24 divisors. Its prime factorisation is 2 × 7 × 11 × . Divisors (24): 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 169, 182, 286, 338 … 26026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26026 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26026 is composite. Its prime factorisation is
- 3
The divisors add up to 52704; without 26026 itself that is 26678, so 26026 is abundant (26678 is more than 26026). Euler's totient φ(26026) = 9360 numbers up to 26026 share no factor with it.
- 4
The digits of 26026 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26026 = 2 \times 7 \times 11 \times 13^{2} \]26026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52704 |
| Euler totient φ(n) | 9360 |
| Square | 677352676 |
| Cube | 17628780745576 |
| Square root | 161.325757 (= 13√154) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6026 × |
26026 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and twenty-six |
| Binary (base 2) | 110010110101010 |
| Octal (base 8) | 62652 |
| Hexadecimal (base 16) | 65AA |
| Base 3 | 1022200221 |
| As time | 26026 seconds = 7 h 13 min 46 s |
Is 26026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26026 ÷ 2 = 13013) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (26026 ÷ 7 = 3718) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (26026 ÷ 11 = 2366) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26026 a prime number?
No. 26026 = 2 × 7 × 11 × , so it is divisible by 2.
What are the factors of 26026?
1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 169, 182, 286, 338, 1001, 1183, 1859, 2002, 2366, 3718, 13013, 26026.
What is 26026 in binary?
110010110101010 (hexadecimal 65AA, octal 62652).
What is the square root of 26026?
About 161.3258, exactly 13√154.
Is 26026 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 26026?
It is a composite number with 24 divisors.