The number 56550
56550 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 13 × 29. Divisors (48): 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 29, 30, 39, 50, 58, 65 … 56550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56550 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 56550 itself that is 99690, so 56550 is abundant (99690 is more than 56550). Euler's totient φ(56550) = 13440 numbers up to 56550 share no factor with it.
- 4
The digits of 56550 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56550 = 2 \times 3 \times 5^{2} \times 13 \times 29 \]56550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 13440 |
| Square | 3197902500 |
| Cube | 180841386375000 |
| Square root | 237.802439 (= 5√2262) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.655 × |
56550 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand five hundred and fifty |
| Binary (base 2) | 1101110011100110 |
| Octal (base 8) | 156346 |
| Hexadecimal (base 16) | DCE6 |
| Base 3 | 2212120110 |
| As time | 56550 seconds = 15 h 42 min 30 s |
Is 56550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56550 ÷ 2 = 28275) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56550 ÷ 3 = 18850) | 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 (56550 ÷ 5 = 11310) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (56550 ÷ 6 = 9425) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (56550 ÷ 10 = 5655) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 56550 a prime number?
No. 56550 = 2 × 3 × × 13 × 29, so it is divisible by 2.
What are the factors of 56550?
1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 29, 30, 39, 50, 58, 65, 75, 78, 87, 130, 145, 150, 174, 195, 290, 325, 377, 390, 435, 650, 725, 754, 870, 975, 1131, 1450, 1885, 1950, 2175, 2262, 3770, 4350, 5655, 9425, 11310, 18850, 28275, 56550.
What is 56550 in binary?
1101110011100110 (hexadecimal DCE6, octal 156346).
What is the square root of 56550?
About 237.8024, exactly 5√2262.
Is 56550 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 56550?
It is a composite number with 48 divisors.