The number 42135
42135 is a composite number with 12 divisors. Its prime factorisation is 3 × 5 × . Divisors (12): 1, 3, 5, 15, 53, 159, 265, 795, 2809, 8427, 14045, 42135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42135: a Harshad number: divisible by its digit sum 15.
- 2
42135 is composite. Its prime factorisation is
- 3
The divisors add up to 68712; without 42135 itself that is 26577, so 42135 is deficient (26577 is less than 42135). Euler's totient φ(42135) = 22048 numbers up to 42135 share no factor with it.
- 4
The digits of 42135 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42135 = 3 \times 5 \times 53^{2} \]42135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68712 |
| Euler totient φ(n) | 22048 |
| Square | 1775358225 |
| Cube | 74804718810375 |
| Square root | 205.268117 (= 53√15) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2135 × |
42135 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and thirty-five |
| Binary (base 2) | 1010010010010111 |
| Octal (base 8) | 122227 |
| Hexadecimal (base 16) | A497 |
| Base 3 | 2010210120 |
| As time | 42135 seconds = 11 h 42 min 15 s |
Is 42135 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 | Yes (42135 ÷ 3 = 14045) | 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 (42135 ÷ 5 = 8427) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42135 a prime number?
No. 42135 = 3 × 5 × , so it is divisible by 3.
What are the factors of 42135?
1, 3, 5, 15, 53, 159, 265, 795, 2809, 8427, 14045, 42135.
What is 42135 in binary?
1010010010010111 (hexadecimal A497, octal 122227).
What is the square root of 42135?
About 205.2681, exactly 53√15.
Is 42135 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42135?
42135 is a Harshad number: divisible by its digit sum 15.