The number 2042
2042 is a composite number with 4 divisors. Its prime factorisation is 2 × 1021. Divisors (4): 1, 2, 1021, 2042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2042: a semiprime: 2 × 1021, the product of two primes.
- 2
2042 is composite. Its prime factorisation is
- 3
The divisors add up to 3066; without 2042 itself that is 1024, so 2042 is deficient (1024 is less than 2042). Euler's totient φ(2042) = 1020 numbers up to 2042 share no factor with it.
- 4
The digits of 2042 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2042 = 2 \times 1021 \]
2042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3066 |
| Euler totient φ(n) | 1020 |
| Square | 4169764 |
| Cube | 8514658088 |
| Square root | 45.188494 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 2.042 × |
2042 in other forms
| Form | Value |
|---|---|
| In words | two thousand and forty-two |
| Roman numerals | MMXLII |
| Binary (base 2) | 11111111010 |
| Octal (base 8) | 3772 |
| Hexadecimal (base 16) | 7FA |
| Base 3 | 2210122 |
| As time | 2042 seconds = 34 min 2 s |
Is 2042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2042 ÷ 2 = 1021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | 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 | No (remainder 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2042 a prime number?
No. 2042 = 2 × 1021, so it is divisible by 2.
What are the factors of 2042?
1, 2, 1021, 2042.
What is 2042 in binary?
11111111010 (hexadecimal 7FA, octal 3772).
What is the square root of 2042?
About 45.1885.
What is 2042 in Roman numerals?
MMXLII.
Is 2042 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2042?
2042 is a semiprime: 2 × 1021, the product of two primes.