The number 42795
42795 is a composite number with 16 divisors. Its prime factorisation is × 5 × 317. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 317, 951, 1585, 2853, 4755, 8559, 14265, 42795.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42795: a Harshad number: divisible by its digit sum 27.
- 2
42795 is composite. Its prime factorisation is
- 3
The divisors add up to 76320; without 42795 itself that is 33525, so 42795 is deficient (33525 is less than 42795). Euler's totient φ(42795) = 22752 numbers up to 42795 share no factor with it.
- 4
The digits of 42795 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42795 = 3^{3} \times 5 \times 317 \]42795 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76320 |
| Euler totient φ(n) | 22752 |
| Square | 1831412025 |
| Cube | 78375277609875 |
| Square root | 206.869524 (= 3√4755) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2795 × |
42795 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and ninety-five |
| Binary (base 2) | 1010011100101011 |
| Octal (base 8) | 123453 |
| Hexadecimal (base 16) | A72B |
| Base 3 | 2011201000 |
| As time | 42795 seconds = 11 h 53 min 15 s |
Is 42795 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 (42795 ÷ 3 = 14265) | 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 (42795 ÷ 5 = 8559) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42795 ÷ 9 = 4755) | 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 42795 a prime number?
No. 42795 = × 5 × 317, so it is divisible by 3.
What are the factors of 42795?
1, 3, 5, 9, 15, 27, 45, 135, 317, 951, 1585, 2853, 4755, 8559, 14265, 42795.
What is 42795 in binary?
1010011100101011 (hexadecimal A72B, octal 123453).
What is the square root of 42795?
About 206.8695, exactly 3√4755.
Is 42795 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42795?
42795 is a Harshad number: divisible by its digit sum 27.