The number 42550
42550 is a composite number with 24 divisors. Its prime factorisation is 2 × × 23 × 37. Divisors (24): 1, 2, 5, 10, 23, 25, 37, 46, 50, 74, 115, 185, 230, 370, 575, 851 … 42550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42550: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42550 is composite. Its prime factorisation is
- 3
The divisors add up to 84816; without 42550 itself that is 42266, so 42550 is deficient (42266 is less than 42550). Euler's totient φ(42550) = 15840 numbers up to 42550 share no factor with it.
- 4
The digits of 42550 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42550 = 2 \times 5^{2} \times 23 \times 37 \]42550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84816 |
| Euler totient φ(n) | 15840 |
| Square | 1810502500 |
| Cube | 77036881375000 |
| Square root | 206.276513 (= 5√1702) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.255 × |
42550 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and fifty |
| Binary (base 2) | 1010011000110110 |
| Octal (base 8) | 123066 |
| Hexadecimal (base 16) | A636 |
| Base 3 | 2011100221 |
| As time | 42550 seconds = 11 h 49 min 10 s |
Is 42550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42550 ÷ 2 = 21275) | 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 | Yes (42550 ÷ 5 = 8510) | 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 | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42550 ÷ 10 = 4255) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42550 a prime number?
No. 42550 = 2 × × 23 × 37, so it is divisible by 2.
What are the factors of 42550?
1, 2, 5, 10, 23, 25, 37, 46, 50, 74, 115, 185, 230, 370, 575, 851, 925, 1150, 1702, 1850, 4255, 8510, 21275, 42550.
What is 42550 in binary?
1010011000110110 (hexadecimal A636, octal 123066).
What is the square root of 42550?
About 206.2765, exactly 5√1702.
Is 42550 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42550?
42550 is a happy number: repeatedly adding the squares of its digits reaches 1.