The number 42534
42534 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 139. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 139, 153, 278, 306, 417, 834 … 42534.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42534: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42534 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 42534 itself that is 55746, so 42534 is abundant (55746 is more than 42534). Euler's totient φ(42534) = 13248 numbers up to 42534 share no factor with it.
- 4
The digits of 42534 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42534 = 2 \times 3^{2} \times 17 \times 139 \]42534 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 13248 |
| Square | 1809141156 |
| Cube | 76950009929304 |
| Square root | 206.237727 (= 3√4726) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2534 × |
42534 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and thirty-four |
| Binary (base 2) | 1010011000100110 |
| Octal (base 8) | 123046 |
| Hexadecimal (base 16) | A626 |
| Base 3 | 2011100100 |
| As time | 42534 seconds = 11 h 48 min 54 s |
Is 42534 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42534 ÷ 2 = 21267) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42534 ÷ 3 = 14178) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42534 ÷ 6 = 7089) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42534 ÷ 9 = 4726) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42534 a prime number?
No. 42534 = 2 × × 17 × 139, so it is divisible by 2.
What are the factors of 42534?
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 139, 153, 278, 306, 417, 834, 1251, 2363, 2502, 4726, 7089, 14178, 21267, 42534.
What is 42534 in binary?
1010011000100110 (hexadecimal A626, octal 123046).
What is the square root of 42534?
About 206.2377, exactly 3√4726.
Is 42534 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42534?
42534 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.