The number 37938
37938 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 6323. Divisors (8): 1, 2, 3, 6, 6323, 12646, 18969, 37938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37938 is composite. Its prime factorisation is
- 3
The divisors add up to 75888; without 37938 itself that is 37950, so 37938 is abundant (37950 is more than 37938). Euler's totient φ(37938) = 12644 numbers up to 37938 share no factor with it.
- 4
The digits of 37938 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37938 = 2 \times 3 \times 6323 \]
37938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75888 |
| Euler totient φ(n) | 12644 |
| Square | 1439291844 |
| Cube | 54603853977672 |
| Square root | 194.776795 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.7938 × |
37938 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and thirty-eight |
| Binary (base 2) | 1001010000110010 |
| Octal (base 8) | 112062 |
| Hexadecimal (base 16) | 9432 |
| Base 3 | 1221001010 |
| As time | 37938 seconds = 10 h 32 min 18 s |
Is 37938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37938 ÷ 2 = 18969) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37938 ÷ 3 = 12646) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37938 ÷ 6 = 6323) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 37938 a prime number?
No. 37938 = 2 × 3 × 6323, so it is divisible by 2.
What are the factors of 37938?
1, 2, 3, 6, 6323, 12646, 18969, 37938.
What is 37938 in binary?
1001010000110010 (hexadecimal 9432, octal 112062).
What is the square root of 37938?
About 194.7768.
Is 37938 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 37938?
It is a composite number with 8 divisors.