The number 42348
42348 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3529. Divisors (12): 1, 2, 3, 4, 6, 12, 3529, 7058, 10587, 14116, 21174, 42348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42348: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42348 is composite. Its prime factorisation is
- 3
The divisors add up to 98840; without 42348 itself that is 56492, so 42348 is abundant (56492 is more than 42348). Euler's totient φ(42348) = 14112 numbers up to 42348 share no factor with it.
- 4
The digits of 42348 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42348 = 2^{2} \times 3 \times 3529 \]42348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98840 |
| Euler totient φ(n) | 14112 |
| Square | 1793353104 |
| Cube | 75944917248192 |
| Square root | 205.786297 (= 2√10587) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2348 × |
42348 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and forty-eight |
| Binary (base 2) | 1010010101101100 |
| Octal (base 8) | 122554 |
| Hexadecimal (base 16) | A56C |
| Base 3 | 2011002110 |
| As time | 42348 seconds = 11 h 45 min 48 s |
Is 42348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42348 ÷ 2 = 21174) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42348 ÷ 3 = 14116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42348 ÷ 4 = 10587) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42348 ÷ 6 = 7058) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42348 ÷ 12 = 3529) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42348 a prime number?
No. 42348 = × 3 × 3529, so it is divisible by 2.
What are the factors of 42348?
1, 2, 3, 4, 6, 12, 3529, 7058, 10587, 14116, 21174, 42348.
What is 42348 in binary?
1010010101101100 (hexadecimal A56C, octal 122554).
What is the square root of 42348?
About 205.7863, exactly 2√10587.
Is 42348 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42348?
42348 is a happy number: repeatedly adding the squares of its digits reaches 1.