The number 38792
38792 is a composite number with 16 divisors. Its prime factorisation is × 13 × 373. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 373, 746, 1492, 2984, 4849, 9698, 19396, 38792.
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How to work it out
- 1
38792 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38792 is composite. Its prime factorisation is
- 3
The divisors add up to 78540; without 38792 itself that is 39748, so 38792 is abundant (39748 is more than 38792). Euler's totient φ(38792) = 17856 numbers up to 38792 share no factor with it.
- 4
The digits of 38792 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38792 = 2^{3} \times 13 \times 373 \]38792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78540 |
| Euler totient φ(n) | 17856 |
| Square | 1504819264 |
| Cube | 58374948889088 |
| Square root | 196.956848 (= 2√9698) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.8792 × |
38792 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and ninety-two |
| Binary (base 2) | 1001011110001000 |
| Octal (base 8) | 113610 |
| Hexadecimal (base 16) | 9788 |
| Base 3 | 1222012202 |
| As time | 38792 seconds = 10 h 46 min 32 s |
Is 38792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38792 ÷ 2 = 19396) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38792 ÷ 4 = 9698) | 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 2) | 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 | Yes (38792 ÷ 8 = 4849) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38792 a prime number?
No. 38792 = × 13 × 373, so it is divisible by 2.
What are the factors of 38792?
1, 2, 4, 8, 13, 26, 52, 104, 373, 746, 1492, 2984, 4849, 9698, 19396, 38792.
What is 38792 in binary?
1001011110001000 (hexadecimal 9788, octal 113610).
What is the square root of 38792?
About 196.9568, exactly 2√9698.
Is 38792 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38792?
It is a composite number with 16 divisors.