The number 42734
42734 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 929. Divisors (8): 1, 2, 23, 46, 929, 1858, 21367, 42734.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42734: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42734 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 42734 itself that is 24226, so 42734 is deficient (24226 is less than 42734). Euler's totient φ(42734) = 20416 numbers up to 42734 share no factor with it.
- 4
The digits of 42734 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42734 = 2 \times 23 \times 929 \]
42734 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 20416 |
| Square | 1826194756 |
| Cube | 78040606702904 |
| Square root | 206.722036 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2734 × |
42734 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and thirty-four |
| Binary (base 2) | 1010011011101110 |
| Octal (base 8) | 123356 |
| Hexadecimal (base 16) | A6EE |
| Base 3 | 2011121202 |
| As time | 42734 seconds = 11 h 52 min 14 s |
Is 42734 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42734 ÷ 2 = 21367) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42734 a prime number?
No. 42734 = 2 × 23 × 929, so it is divisible by 2.
What are the factors of 42734?
1, 2, 23, 46, 929, 1858, 21367, 42734.
What is 42734 in binary?
1010011011101110 (hexadecimal A6EE, octal 123356).
What is the square root of 42734?
About 206.7220.
Is 42734 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42734?
42734 is a happy number: repeatedly adding the squares of its digits reaches 1.