The number 2442
2442 is a palindrome: it reads 2442 backwards too. Its prime factorisation is 2 × 3 × 11 × 37. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2442: a palindrome: it reads 2442 backwards too.
- 2
2442 is composite. Its prime factorisation is
- 3
The divisors add up to 5472; without 2442 itself that is 3030, so 2442 is abundant (3030 is more than 2442). Euler's totient φ(2442) = 720 numbers up to 2442 share no factor with it.
- 4
The digits of 2442 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2442 = 2 \times 3 \times 11 \times 37 \]
2442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 720 |
| Square | 5963364 |
| Cube | 14562534888 |
| Square root | 49.416596 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.442 × |
2442 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and forty-two |
| Roman numerals | MMCDXLII |
| Binary (base 2) | 100110001010 |
| Octal (base 8) | 4612 |
| Hexadecimal (base 16) | 98A |
| Base 3 | 10100110 |
| As time | 2442 seconds = 40 min 42 s |
Is 2442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2442 ÷ 2 = 1221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2442 ÷ 3 = 814) | 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 (2442 ÷ 6 = 407) | 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 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 | Yes (2442 ÷ 11 = 222) | 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 2442 a prime number?
No. 2442 = 2 × 3 × 11 × 37, so it is divisible by 2.
What are the factors of 2442?
1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442.
What is 2442 in binary?
100110001010 (hexadecimal 98A, octal 4612).
What is the square root of 2442?
About 49.4166.
What is 2442 in Roman numerals?
MMCDXLII.
Is 2442 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2442?
2442 is a palindrome: it reads 2442 backwards too.