The number 42035
42035 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 1201. Divisors (8): 1, 5, 7, 35, 1201, 6005, 8407, 42035.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42035 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42035 is composite. Its prime factorisation is
- 3
The divisors add up to 57696; without 42035 itself that is 15661, so 42035 is deficient (15661 is less than 42035). Euler's totient φ(42035) = 28800 numbers up to 42035 share no factor with it.
- 4
The digits of 42035 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42035 = 5 \times 7 \times 1201 \]
42035 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57696 |
| Euler totient φ(n) | 28800 |
| Square | 1766941225 |
| Cube | 74273374392875 |
| Square root | 205.024389 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2035 × |
42035 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and thirty-five |
| Binary (base 2) | 1010010000110011 |
| Octal (base 8) | 122063 |
| Hexadecimal (base 16) | A433 |
| Base 3 | 2010122212 |
| As time | 42035 seconds = 11 h 40 min 35 s |
Is 42035 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42035 ÷ 5 = 8407) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42035 ÷ 7 = 6005) | 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 3) | 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 | No (remainder 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42035 a prime number?
No. 42035 = 5 × 7 × 1201, so it is divisible by 5.
What are the factors of 42035?
1, 5, 7, 35, 1201, 6005, 8407, 42035.
What is 42035 in binary?
1010010000110011 (hexadecimal A433, octal 122063).
What is the square root of 42035?
About 205.0244.
Is 42035 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42035?
It is a composite number with 8 divisors.