The number 42735
42735 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 11 × 37. Divisors (32): 1, 3, 5, 7, 11, 15, 21, 33, 35, 37, 55, 77, 105, 111, 165, 185 … 42735.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42735: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
42735 is composite. Its prime factorisation is
- 3
The divisors add up to 87552; without 42735 itself that is 44817, so 42735 is abundant (44817 is more than 42735). Euler's totient φ(42735) = 17280 numbers up to 42735 share no factor with it.
- 4
The digits of 42735 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42735 = 3 \times 5 \times 7 \times 11 \times 37 \]
42735 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 87552 |
| Euler totient φ(n) | 17280 |
| Square | 1826280225 |
| Cube | 78046085415375 |
| Square root | 206.724454 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2735 × |
42735 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and thirty-five |
| Binary (base 2) | 1010011011101111 |
| Octal (base 8) | 123357 |
| Hexadecimal (base 16) | A6EF |
| Base 3 | 2011121210 |
| As time | 42735 seconds = 11 h 52 min 15 s |
Is 42735 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 (42735 ÷ 3 = 14245) | 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 (42735 ÷ 5 = 8547) | 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 | Yes (42735 ÷ 7 = 6105) | 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 3) | 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 | Yes (42735 ÷ 11 = 3885) | 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 42735 a prime number?
No. 42735 = 3 × 5 × 7 × 11 × 37, so it is divisible by 3.
What are the factors of 42735?
1, 3, 5, 7, 11, 15, 21, 33, 35, 37, 55, 77, 105, 111, 165, 185, 231, 259, 385, 407, 555, 777, 1155, 1221, 1295, 2035, 2849, 3885, 6105, 8547, 14245, 42735.
What is 42735 in binary?
1010011011101111 (hexadecimal A6EF, octal 123357).
What is the square root of 42735?
About 206.7245.
Is 42735 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42735?
42735 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.