The number 542
542 is a composite number with 4 divisors. Its prime factorisation is 2 × 271. Divisors (4): 1, 2, 271, 542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 542: a semiprime: 2 × 271, the product of two primes.
- 2
542 is composite. Its prime factorisation is
- 3
The divisors add up to 816; without 542 itself that is 274, so 542 is deficient (274 is less than 542). Euler's totient φ(542) = 270 numbers up to 542 share no factor with it.
- 4
The digits of 542 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 542 = 2 \times 271 \]
542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 816 |
| Euler totient φ(n) | 270 |
| Square | 293764 |
| Cube | 159220088 |
| Square root | 23.280893 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 43 |
| Scientific notation | 5.42 × |
542 in other forms
| Form | Value |
|---|---|
| In words | five hundred and forty-two |
| Roman numerals | DXLII |
| Binary (base 2) | 1000011110 |
| Octal (base 8) | 1036 |
| Hexadecimal (base 16) | 21E |
| Base 3 | 202002 |
| As time | 542 seconds = 9 min 2 s |
Is 542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (542 ÷ 2 = 271) | 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 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 542 a prime number?
No. 542 = 2 × 271, so it is divisible by 2.
What are the factors of 542?
1, 2, 271, 542.
What is 542 in binary?
1000011110 (hexadecimal 21E, octal 1036).
What is the square root of 542?
About 23.2809.
What is 542 in Roman numerals?
DXLII.
Is 542 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 542?
542 is a semiprime: 2 × 271, the product of two primes.