The number 42342
42342 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7057. Divisors (8): 1, 2, 3, 6, 7057, 14114, 21171, 42342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42342: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42342 is composite. Its prime factorisation is
- 3
The divisors add up to 84696; without 42342 itself that is 42354, so 42342 is abundant (42354 is more than 42342). Euler's totient φ(42342) = 14112 numbers up to 42342 share no factor with it.
- 4
The digits of 42342 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42342 = 2 \times 3 \times 7057 \]
42342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84696 |
| Euler totient φ(n) | 14112 |
| Square | 1792844964 |
| Cube | 75912641465688 |
| Square root | 205.771718 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2342 × |
42342 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and forty-two |
| Binary (base 2) | 1010010101100110 |
| Octal (base 8) | 122546 |
| Hexadecimal (base 16) | A566 |
| Base 3 | 2011002020 |
| As time | 42342 seconds = 11 h 45 min 42 s |
Is 42342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42342 ÷ 2 = 21171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42342 ÷ 3 = 14114) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42342 ÷ 6 = 7057) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 42342 a prime number?
No. 42342 = 2 × 3 × 7057, so it is divisible by 2.
What are the factors of 42342?
1, 2, 3, 6, 7057, 14114, 21171, 42342.
What is 42342 in binary?
1010010101100110 (hexadecimal A566, octal 122546).
What is the square root of 42342?
About 205.7717.
Is 42342 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42342?
42342 is a happy number: repeatedly adding the squares of its digits reaches 1.