The number 42350
42350 is a composite number with 36 divisors. Its prime factorisation is 2 × × 7 × . Divisors (36): 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 121 … 42350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42350: a Harshad number: divisible by its digit sum 14.
- 2
42350 is composite. Its prime factorisation is
- 3
The divisors add up to 98952; without 42350 itself that is 56602, so 42350 is abundant (56602 is more than 42350). Euler's totient φ(42350) = 13200 numbers up to 42350 share no factor with it.
- 4
The digits of 42350 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42350 = 2 \times 5^{2} \times 7 \times 11^{2} \]42350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 98952 |
| Euler totient φ(n) | 13200 |
| Square | 1793522500 |
| Cube | 75955677875000 |
| Square root | 205.791156 (= 55√14) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.235 × |
42350 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and fifty |
| Binary (base 2) | 1010010101101110 |
| Octal (base 8) | 122556 |
| Hexadecimal (base 16) | A56E |
| Base 3 | 2011002112 |
| As time | 42350 seconds = 11 h 45 min 50 s |
Is 42350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42350 ÷ 2 = 21175) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (42350 ÷ 5 = 8470) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42350 ÷ 7 = 6050) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42350 ÷ 10 = 4235) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42350 ÷ 11 = 3850) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42350 a prime number?
No. 42350 = 2 × × 7 × , so it is divisible by 2.
What are the factors of 42350?
1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 121, 154, 175, 242, 275, 350, 385, 550, 605, 770, 847, 1210, 1694, 1925, 3025, 3850, 4235, 6050, 8470, 21175, 42350.
What is 42350 in binary?
1010010101101110 (hexadecimal A56E, octal 122556).
What is the square root of 42350?
About 205.7912, exactly 55√14.
Is 42350 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42350?
42350 is a Harshad number: divisible by its digit sum 14.