The number 1042
1042 is a composite number with 4 divisors. Its prime factorisation is 2 × 521. Divisors (4): 1, 2, 521, 1042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1042: a semiprime: 2 × 521, the product of two primes.
- 2
1042 is composite. Its prime factorisation is
- 3
The divisors add up to 1566; without 1042 itself that is 524, so 1042 is deficient (524 is less than 1042). Euler's totient φ(1042) = 520 numbers up to 1042 share no factor with it.
- 4
The digits of 1042 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1042 = 2 \times 521 \]
1042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1566 |
| Euler totient φ(n) | 520 |
| Square | 1085764 |
| Cube | 1131366088 |
| Square root | 32.280025 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.042 × |
1042 in other forms
| Form | Value |
|---|---|
| In words | one thousand and forty-two |
| Roman numerals | MXLII |
| Binary (base 2) | 10000010010 |
| Octal (base 8) | 2022 |
| Hexadecimal (base 16) | 412 |
| Base 3 | 1102121 |
| As time | 1042 seconds = 17 min 22 s |
Is 1042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1042 ÷ 2 = 521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1042 a prime number?
No. 1042 = 2 × 521, so it is divisible by 2.
What are the factors of 1042?
1, 2, 521, 1042.
What is 1042 in binary?
10000010010 (hexadecimal 412, octal 2022).
What is the square root of 1042?
About 32.2800.
What is 1042 in Roman numerals?
MXLII.
Is 1042 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1042?
1042 is a semiprime: 2 × 521, the product of two primes.