The number 26088
26088 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1087. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1087, 2174, 3261, 4348, 6522, 8696, 13044, 26088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26088: a Harshad number: divisible by its digit sum 24.
- 2
26088 is composite. Its prime factorisation is
- 3
The divisors add up to 65280; without 26088 itself that is 39192, so 26088 is abundant (39192 is more than 26088). Euler's totient φ(26088) = 8688 numbers up to 26088 share no factor with it.
- 4
The digits of 26088 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26088 = 2^{3} \times 3 \times 1087 \]26088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65280 |
| Euler totient φ(n) | 8688 |
| Square | 680583744 |
| Cube | 17755068713472 |
| Square root | 161.517801 (= 2√6522) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6088 × |
26088 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and eighty-eight |
| Binary (base 2) | 110010111101000 |
| Octal (base 8) | 62750 |
| Hexadecimal (base 16) | 65E8 |
| Base 3 | 1022210020 |
| As time | 26088 seconds = 7 h 14 min 48 s |
Is 26088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26088 ÷ 2 = 13044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26088 ÷ 3 = 8696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26088 ÷ 4 = 6522) | 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 (26088 ÷ 6 = 4348) | 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 (26088 ÷ 8 = 3261) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (26088 ÷ 12 = 2174) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26088 a prime number?
No. 26088 = × 3 × 1087, so it is divisible by 2.
What are the factors of 26088?
1, 2, 3, 4, 6, 8, 12, 24, 1087, 2174, 3261, 4348, 6522, 8696, 13044, 26088.
What is 26088 in binary?
110010111101000 (hexadecimal 65E8, octal 62750).
What is the square root of 26088?
About 161.5178, exactly 2√6522.
Is 26088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 26088?
26088 is a Harshad number: divisible by its digit sum 24.