The number 43842
43842 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7307. Divisors (8): 1, 2, 3, 6, 7307, 14614, 21921, 43842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43842: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43842 is composite. Its prime factorisation is
- 3
The divisors add up to 87696; without 43842 itself that is 43854, so 43842 is abundant (43854 is more than 43842). Euler's totient φ(43842) = 14612 numbers up to 43842 share no factor with it.
- 4
The digits of 43842 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 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43842 = 2 \times 3 \times 7307 \]
43842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 87696 |
| Euler totient φ(n) | 14612 |
| Square | 1922120964 |
| Cube | 84269627303688 |
| Square root | 209.384813 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.3842 × |
43842 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and forty-two |
| Binary (base 2) | 1010101101000010 |
| Octal (base 8) | 125502 |
| Hexadecimal (base 16) | AB42 |
| Base 3 | 2020010210 |
| As time | 43842 seconds = 12 h 10 min 42 s |
Is 43842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43842 ÷ 2 = 21921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43842 ÷ 3 = 14614) | 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 (43842 ÷ 6 = 7307) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 43842 a prime number?
No. 43842 = 2 × 3 × 7307, so it is divisible by 2.
What are the factors of 43842?
1, 2, 3, 6, 7307, 14614, 21921, 43842.
What is 43842 in binary?
1010101101000010 (hexadecimal AB42, octal 125502).
What is the square root of 43842?
About 209.3848.
Is 43842 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 43842?
43842 is a happy number: repeatedly adding the squares of its digits reaches 1.