The number 39790
39790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 23 × 173. Divisors (16): 1, 2, 5, 10, 23, 46, 115, 173, 230, 346, 865, 1730, 3979, 7958, 19895, 39790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39790 is composite. Its prime factorisation is
- 3
The divisors add up to 75168; without 39790 itself that is 35378, so 39790 is deficient (35378 is less than 39790). Euler's totient φ(39790) = 15136 numbers up to 39790 share no factor with it.
- 4
The digits of 39790 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39790 = 2 \times 5 \times 23 \times 173 \]
39790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75168 |
| Euler totient φ(n) | 15136 |
| Square | 1583244100 |
| Cube | 62997282739000 |
| Square root | 199.474309 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.979 × |
39790 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and ninety |
| Binary (base 2) | 1001101101101110 |
| Octal (base 8) | 115556 |
| Hexadecimal (base 16) | 9B6E |
| Base 3 | 2000120201 |
| As time | 39790 seconds = 11 h 3 min 10 s |
Is 39790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39790 ÷ 2 = 19895) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39790 ÷ 5 = 7958) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39790 ÷ 10 = 3979) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39790 a prime number?
No. 39790 = 2 × 5 × 23 × 173, so it is divisible by 2.
What are the factors of 39790?
1, 2, 5, 10, 23, 46, 115, 173, 230, 346, 865, 1730, 3979, 7958, 19895, 39790.
What is 39790 in binary?
1001101101101110 (hexadecimal 9B6E, octal 115556).
What is the square root of 39790?
About 199.4743.
Is 39790 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 39790?
It is a composite number with 16 divisors.