The number 37992
37992 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1583. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1583, 3166, 4749, 6332, 9498, 12664, 18996, 37992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37992 is composite. Its prime factorisation is
- 3
The divisors add up to 95040; without 37992 itself that is 57048, so 37992 is abundant (57048 is more than 37992). Euler's totient φ(37992) = 12656 numbers up to 37992 share no factor with it.
- 4
The digits of 37992 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37992 = 2^{3} \times 3 \times 1583 \]37992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95040 |
| Euler totient φ(n) | 12656 |
| Square | 1443392064 |
| Cube | 54837351295488 |
| Square root | 194.915366 (= 2√9498) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.7992 × |
37992 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and ninety-two |
| Binary (base 2) | 1001010001101000 |
| Octal (base 8) | 112150 |
| Hexadecimal (base 16) | 9468 |
| Base 3 | 1221010010 |
| As time | 37992 seconds = 10 h 33 min 12 s |
Is 37992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37992 ÷ 2 = 18996) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37992 ÷ 3 = 12664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37992 ÷ 4 = 9498) | 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 (37992 ÷ 6 = 6332) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (37992 ÷ 8 = 4749) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37992 ÷ 12 = 3166) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37992 a prime number?
No. 37992 = × 3 × 1583, so it is divisible by 2.
What are the factors of 37992?
1, 2, 3, 4, 6, 8, 12, 24, 1583, 3166, 4749, 6332, 9498, 12664, 18996, 37992.
What is 37992 in binary?
1001010001101000 (hexadecimal 9468, octal 112150).
What is the square root of 37992?
About 194.9154, exactly 2√9498.
Is 37992 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 37992?
It is a composite number with 16 divisors.