The number 4242
4242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 101. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4242 is composite. Its prime factorisation is
- 3
The divisors add up to 9792; without 4242 itself that is 5550, so 4242 is abundant (5550 is more than 4242). Euler's totient φ(4242) = 1200 numbers up to 4242 share no factor with it.
- 4
The digits of 4242 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4242 = 2 \times 3 \times 7 \times 101 \]
4242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9792 |
| Euler totient φ(n) | 1200 |
| Square | 17994564 |
| Cube | 76332940488 |
| Square root | 65.130638 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 108 |
| Scientific notation | 4.242 × |
4242 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and forty-two |
| Binary (base 2) | 1000010010010 |
| Octal (base 8) | 10222 |
| Hexadecimal (base 16) | 1092 |
| Base 3 | 12211010 |
| As time | 4242 seconds = 1 h 10 min 42 s |
Is 4242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4242 ÷ 2 = 2121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4242 ÷ 3 = 1414) | 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 (4242 ÷ 6 = 707) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4242 ÷ 7 = 606) | 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 4242 a prime number?
No. 4242 = 2 × 3 × 7 × 101, so it is divisible by 2.
What are the factors of 4242?
1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242.
What is 4242 in binary?
1000010010010 (hexadecimal 1092, octal 10222).
What is the square root of 4242?
About 65.1306.
Is 4242 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4242?
It is a composite number with 16 divisors.