The number 42750
42750 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 19. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57 … 42750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42750: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42750 is composite. Its prime factorisation is
- 3
The divisors add up to 121680; without 42750 itself that is 78930, so 42750 is abundant (78930 is more than 42750). Euler's totient φ(42750) = 10800 numbers up to 42750 share no factor with it.
- 4
The digits of 42750 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42750 = 2 \times 3^{2} \times 5^{3} \times 19 \]42750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 121680 |
| Euler totient φ(n) | 10800 |
| Square | 1827562500 |
| Cube | 78128296875000 |
| Square root | 206.760731 (= 15√190) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.275 × |
42750 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and fifty |
| Binary (base 2) | 1010011011111110 |
| Octal (base 8) | 123376 |
| Hexadecimal (base 16) | A6FE |
| Base 3 | 2011122100 |
| As time | 42750 seconds = 11 h 52 min 30 s |
Is 42750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42750 ÷ 2 = 21375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42750 ÷ 3 = 14250) | 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 (42750 ÷ 5 = 8550) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42750 ÷ 6 = 7125) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (42750 ÷ 9 = 4750) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42750 ÷ 10 = 4275) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 42750 a prime number?
No. 42750 = 2 × × × 19, so it is divisible by 2.
What are the factors of 42750?
1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 125, 150, 171, 190, 225, 250, 285, 342, 375, 450, 475, 570, 750, 855, 950, 1125, 1425, 1710, 2250, 2375, 2850, 4275, 4750, 7125, 8550, 14250, 21375, 42750.
What is 42750 in binary?
1010011011111110 (hexadecimal A6FE, octal 123376).
What is the square root of 42750?
About 206.7607, exactly 15√190.
Is 42750 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42750?
42750 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.