The number 37942
37942 is a composite number with 8 divisors. Its prime factorisation is 2 × 61 × 311. Divisors (8): 1, 2, 61, 122, 311, 622, 18971, 37942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37942 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 37942 itself that is 20090, so 37942 is deficient (20090 is less than 37942). Euler's totient φ(37942) = 18600 numbers up to 37942 share no factor with it.
- 4
The digits of 37942 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37942 = 2 \times 61 \times 311 \]
37942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 18600 |
| Square | 1439595364 |
| Cube | 54621127300888 |
| Square root | 194.787063 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7942 × |
37942 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and forty-two |
| Binary (base 2) | 1001010000110110 |
| Octal (base 8) | 112066 |
| Hexadecimal (base 16) | 9436 |
| Base 3 | 1221001021 |
| As time | 37942 seconds = 10 h 32 min 22 s |
Is 37942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37942 ÷ 2 = 18971) | 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 2) | 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 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 3) | 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 37942 a prime number?
No. 37942 = 2 × 61 × 311, so it is divisible by 2.
What are the factors of 37942?
1, 2, 61, 122, 311, 622, 18971, 37942.
What is 37942 in binary?
1001010000110110 (hexadecimal 9436, octal 112066).
What is the square root of 37942?
About 194.7871.
Is 37942 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 37942?
It is a composite number with 8 divisors.