The number 39788
39788 is a composite number with 24 divisors. Its prime factorisation is × × 29. Divisors (24): 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 343, 406, 686 … 39788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39788 is composite. Its prime factorisation is
- 3
The divisors add up to 84000; without 39788 itself that is 44212, so 39788 is abundant (44212 is more than 39788). Euler's totient φ(39788) = 16464 numbers up to 39788 share no factor with it.
- 4
The digits of 39788 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39788 = 2^{2} \times 7^{3} \times 29 \]39788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84000 |
| Euler totient φ(n) | 16464 |
| Square | 1583084944 |
| Cube | 62987783751872 |
| Square root | 199.469296 (= 14√203) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9788 × |
39788 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and eighty-eight |
| Binary (base 2) | 1001101101101100 |
| Octal (base 8) | 115554 |
| Hexadecimal (base 16) | 9B6C |
| Base 3 | 2000120122 |
| As time | 39788 seconds = 11 h 3 min 8 s |
Is 39788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39788 ÷ 2 = 19894) | 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 (39788 ÷ 4 = 9947) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (39788 ÷ 7 = 5684) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 39788 a prime number?
No. 39788 = × × 29, so it is divisible by 2.
What are the factors of 39788?
1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 343, 406, 686, 812, 1372, 1421, 2842, 5684, 9947, 19894, 39788.
What is 39788 in binary?
1001101101101100 (hexadecimal 9B6C, octal 115554).
What is the square root of 39788?
About 199.4693, exactly 14√203.
Is 39788 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 39788?
It is a composite number with 24 divisors.