The number 39942
39942 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 317. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 317, 634, 951, 1902 … 39942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39942 is composite. Its prime factorisation is
- 3
The divisors add up to 99216; without 39942 itself that is 59274, so 39942 is abundant (59274 is more than 39942). Euler's totient φ(39942) = 11376 numbers up to 39942 share no factor with it.
- 4
The digits of 39942 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39942 = 2 \times 3^{2} \times 7 \times 317 \]39942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99216 |
| Euler totient φ(n) | 11376 |
| Square | 1595363364 |
| Cube | 63722003484888 |
| Square root | 199.854947 (= 3√4438) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.9942 × |
39942 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and forty-two |
| Binary (base 2) | 1001110000000110 |
| Octal (base 8) | 116006 |
| Hexadecimal (base 16) | 9C06 |
| Base 3 | 2000210100 |
| As time | 39942 seconds = 11 h 5 min 42 s |
Is 39942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39942 ÷ 2 = 19971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39942 ÷ 3 = 13314) | 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 (39942 ÷ 6 = 6657) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (39942 ÷ 7 = 5706) | 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 (39942 ÷ 9 = 4438) | 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 1) | 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 39942 a prime number?
No. 39942 = 2 × × 7 × 317, so it is divisible by 2.
What are the factors of 39942?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 317, 634, 951, 1902, 2219, 2853, 4438, 5706, 6657, 13314, 19971, 39942.
What is 39942 in binary?
1001110000000110 (hexadecimal 9C06, octal 116006).
What is the square root of 39942?
About 199.8549, exactly 3√4438.
Is 39942 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39942?
It is a composite number with 24 divisors.