The number 942
942 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 157. Divisors (8): 1, 2, 3, 6, 157, 314, 471, 942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
942 is composite. Its prime factorisation is
- 3
The divisors add up to 1896; without 942 itself that is 954, so 942 is abundant (954 is more than 942). Euler's totient φ(942) = 312 numbers up to 942 share no factor with it.
- 4
The digits of 942 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 942 = 2 \times 3 \times 157 \]
942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1896 |
| Euler totient φ(n) | 312 |
| Square | 887364 |
| Cube | 835896888 |
| Square root | 30.692019 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 9.42 × |
942 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and forty-two |
| Roman numerals | CMXLII |
| Binary (base 2) | 1110101110 |
| Octal (base 8) | 1656 |
| Hexadecimal (base 16) | 3AE |
| Base 3 | 1021220 |
| As time | 942 seconds = 15 min 42 s |
Is 942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (942 ÷ 2 = 471) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (942 ÷ 3 = 314) | 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 (942 ÷ 6 = 157) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 942 a prime number?
No. 942 = 2 × 3 × 157, so it is divisible by 2.
What are the factors of 942?
1, 2, 3, 6, 157, 314, 471, 942.
What is 942 in binary?
1110101110 (hexadecimal 3AE, octal 1656).
What is the square root of 942?
About 30.6920.
What is 942 in Roman numerals?
CMXLII.
Is 942 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 942?
It is a composite number with 8 divisors.