The number 4842
4842 is a composite number with 12 divisors. Its prime factorisation is 2 × × 269. Divisors (12): 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4842: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
4842 is composite. Its prime factorisation is
- 3
The divisors add up to 10530; without 4842 itself that is 5688, so 4842 is abundant (5688 is more than 4842). Euler's totient φ(4842) = 1608 numbers up to 4842 share no factor with it.
- 4
The digits of 4842 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 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4842 = 2 \times 3^{2} \times 269 \]4842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10530 |
| Euler totient φ(n) | 1608 |
| Square | 23444964 |
| Cube | 113520515688 |
| Square root | 69.584481 (= 3√538) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 20 |
| Scientific notation | 4.842 × |
4842 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and forty-two |
| Binary (base 2) | 1001011101010 |
| Octal (base 8) | 11352 |
| Hexadecimal (base 16) | 12EA |
| Base 3 | 20122100 |
| As time | 4842 seconds = 1 h 20 min 42 s |
Is 4842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4842 ÷ 2 = 2421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4842 ÷ 3 = 1614) | 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 (4842 ÷ 6 = 807) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4842 ÷ 9 = 538) | 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 2) | 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 4842 a prime number?
No. 4842 = 2 × × 269, so it is divisible by 2.
What are the factors of 4842?
1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842.
What is 4842 in binary?
1001011101010 (hexadecimal 12EA, octal 11352).
What is the square root of 4842?
About 69.5845, exactly 3√538.
Is 4842 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4842?
4842 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.