The number 20550
20550 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 137. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 137, 150, 274, 411, 685 … 20550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20550 is composite. Its prime factorisation is
- 3
The divisors add up to 51336; without 20550 itself that is 30786, so 20550 is abundant (30786 is more than 20550). Euler's totient φ(20550) = 5440 numbers up to 20550 share no factor with it.
- 4
The digits of 20550 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20550 = 2 \times 3 \times 5^{2} \times 137 \]20550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 51336 |
| Euler totient φ(n) | 5440 |
| Square | 422302500 |
| Cube | 8678316375000 |
| Square root | 143.352712 (= 5√822) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.055 × |
20550 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand five hundred and fifty |
| Binary (base 2) | 101000001000110 |
| Octal (base 8) | 50106 |
| Hexadecimal (base 16) | 5046 |
| Base 3 | 1001012010 |
| As time | 20550 seconds = 5 h 42 min 30 s |
Is 20550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20550 ÷ 2 = 10275) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20550 ÷ 3 = 6850) | 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 (20550 ÷ 5 = 4110) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20550 ÷ 6 = 3425) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20550 ÷ 10 = 2055) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 20550 a prime number?
No. 20550 = 2 × 3 × × 137, so it is divisible by 2.
What are the factors of 20550?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 137, 150, 274, 411, 685, 822, 1370, 2055, 3425, 4110, 6850, 10275, 20550.
What is 20550 in binary?
101000001000110 (hexadecimal 5046, octal 50106).
What is the square root of 20550?
About 143.3527, exactly 5√822.
Is 20550 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20550?
It is a composite number with 24 divisors.