The number 42435
42435 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 41. Divisors (24): 1, 3, 5, 9, 15, 23, 41, 45, 69, 115, 123, 205, 207, 345, 369, 615 … 42435.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42435: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42435 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 42435 itself that is 36189, so 42435 is deficient (36189 is less than 42435). Euler's totient φ(42435) = 21120 numbers up to 42435 share no factor with it.
- 4
The digits of 42435 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42435 = 3^{2} \times 5 \times 23 \times 41 \]42435 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 21120 |
| Square | 1800729225 |
| Cube | 76413944662875 |
| Square root | 205.997573 (= 3√4715) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2435 × |
42435 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and thirty-five |
| Binary (base 2) | 1010010111000011 |
| Octal (base 8) | 122703 |
| Hexadecimal (base 16) | A5C3 |
| Base 3 | 2011012200 |
| As time | 42435 seconds = 11 h 47 min 15 s |
Is 42435 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 (42435 ÷ 3 = 14145) | 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 (42435 ÷ 5 = 8487) | 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 1) | 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 (42435 ÷ 9 = 4715) | 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 8) | 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 42435 a prime number?
No. 42435 = × 5 × 23 × 41, so it is divisible by 3.
What are the factors of 42435?
1, 3, 5, 9, 15, 23, 41, 45, 69, 115, 123, 205, 207, 345, 369, 615, 943, 1035, 1845, 2829, 4715, 8487, 14145, 42435.
What is 42435 in binary?
1010010111000011 (hexadecimal A5C3, octal 122703).
What is the square root of 42435?
About 205.9976, exactly 3√4715.
Is 42435 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42435?
42435 is a happy number: repeatedly adding the squares of its digits reaches 1.