The number 3942
3942 is a composite number with 16 divisors. Its prime factorisation is 2 × × 73. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3942: a Harshad number: divisible by its digit sum 18.
- 2
3942 is composite. Its prime factorisation is
- 3
The divisors add up to 8880; without 3942 itself that is 4938, so 3942 is abundant (4938 is more than 3942). Euler's totient φ(3942) = 1296 numbers up to 3942 share no factor with it.
- 4
The digits of 3942 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3942 = 2 \times 3^{3} \times 73 \]3942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8880 |
| Euler totient φ(n) | 1296 |
| Square | 15539364 |
| Cube | 61256172888 |
| Square root | 62.785349 (= 3√438) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 25 |
| Scientific notation | 3.942 × |
3942 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and forty-two |
| Roman numerals | MMMCMXLII |
| Binary (base 2) | 111101100110 |
| Octal (base 8) | 7546 |
| Hexadecimal (base 16) | F66 |
| Base 3 | 12102000 |
| As time | 3942 seconds = 1 h 5 min 42 s |
Is 3942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3942 ÷ 2 = 1971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3942 ÷ 3 = 1314) | 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 (3942 ÷ 6 = 657) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (3942 ÷ 9 = 438) | 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 4) | 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 3942 a prime number?
No. 3942 = 2 × × 73, so it is divisible by 2.
What are the factors of 3942?
1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942.
What is 3942 in binary?
111101100110 (hexadecimal F66, octal 7546).
What is the square root of 3942?
About 62.7853, exactly 3√438.
What is 3942 in Roman numerals?
MMMCMXLII.
Is 3942 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3942?
3942 is a Harshad number: divisible by its digit sum 18.