The number 38992
38992 is a composite number with 10 divisors. Its prime factorisation is × 2437. Divisors (10): 1, 2, 4, 8, 16, 2437, 4874, 9748, 19496, 38992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38992: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38992 is composite. Its prime factorisation is
- 3
The divisors add up to 75578; without 38992 itself that is 36586, so 38992 is deficient (36586 is less than 38992). Euler's totient φ(38992) = 19488 numbers up to 38992 share no factor with it.
- 4
The digits of 38992 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38992 = 2^{4} \times 2437 \]38992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 75578 |
| Euler totient φ(n) | 19488 |
| Square | 1520376064 |
| Cube | 59282503487488 |
| Square root | 197.463921 (= 4√2437) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8992 × |
38992 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and ninety-two |
| Binary (base 2) | 1001100001010000 |
| Octal (base 8) | 114120 |
| Hexadecimal (base 16) | 9850 |
| Base 3 | 1222111011 |
| As time | 38992 seconds = 10 h 49 min 52 s |
Is 38992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38992 ÷ 2 = 19496) | 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 | Yes (38992 ÷ 4 = 9748) | 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 | Yes (38992 ÷ 8 = 4874) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38992 a prime number?
No. 38992 = × 2437, so it is divisible by 2.
What are the factors of 38992?
1, 2, 4, 8, 16, 2437, 4874, 9748, 19496, 38992.
What is 38992 in binary?
1001100001010000 (hexadecimal 9850, octal 114120).
What is the square root of 38992?
About 197.4639, exactly 4√2437.
Is 38992 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 38992?
38992 is a happy number: repeatedly adding the squares of its digits reaches 1.