The number 26550
26550 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 59. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 59, 75, 90 … 26550.
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How to work it out
- 1
What is special about 26550: a Harshad number: divisible by its digit sum 18.
- 2
26550 is composite. Its prime factorisation is
- 3
The divisors add up to 72540; without 26550 itself that is 45990, so 26550 is abundant (45990 is more than 26550). Euler's totient φ(26550) = 6960 numbers up to 26550 share no factor with it.
- 4
The digits of 26550 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
\[ 26550 = 2 \times 3^{2} \times 5^{2} \times 59 \]26550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 72540 |
| Euler totient φ(n) | 6960 |
| Square | 704902500 |
| Cube | 18715161375000 |
| Square root | 162.941707 (= 15√118) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.655 × |
26550 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand five hundred and fifty |
| Binary (base 2) | 110011110110110 |
| Octal (base 8) | 63666 |
| Hexadecimal (base 16) | 67B6 |
| Base 3 | 1100102100 |
| As time | 26550 seconds = 7 h 22 min 30 s |
Is 26550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26550 ÷ 2 = 13275) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26550 ÷ 3 = 8850) | 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 | Yes (26550 ÷ 5 = 5310) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26550 ÷ 6 = 4425) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26550 ÷ 9 = 2950) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26550 ÷ 10 = 2655) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26550 a prime number?
No. 26550 = 2 × × × 59, so it is divisible by 2.
What are the factors of 26550?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 59, 75, 90, 118, 150, 177, 225, 295, 354, 450, 531, 590, 885, 1062, 1475, 1770, 2655, 2950, 4425, 5310, 8850, 13275, 26550.
What is 26550 in binary?
110011110110110 (hexadecimal 67B6, octal 63666).
What is the square root of 26550?
About 162.9417, exactly 15√118.
Is 26550 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 26550?
26550 is a Harshad number: divisible by its digit sum 18.