The number 39390
39390 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 101. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 101, 130, 195 … 39390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39390 is composite. Its prime factorisation is
- 3
The divisors add up to 102816; without 39390 itself that is 63426, so 39390 is abundant (63426 is more than 39390). Euler's totient φ(39390) = 9600 numbers up to 39390 share no factor with it.
- 4
The digits of 39390 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39390 = 2 \times 3 \times 5 \times 13 \times 101 \]
39390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 102816 |
| Euler totient φ(n) | 9600 |
| Square | 1551572100 |
| Cube | 61116425019000 |
| Square root | 198.469141 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.939 × |
39390 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand three hundred and ninety |
| Binary (base 2) | 1001100111011110 |
| Octal (base 8) | 114736 |
| Hexadecimal (base 16) | 99DE |
| Base 3 | 2000000220 |
| As time | 39390 seconds = 10 h 56 min 30 s |
Is 39390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39390 ÷ 2 = 19695) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39390 ÷ 3 = 13130) | 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 (39390 ÷ 5 = 7878) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (39390 ÷ 6 = 6565) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39390 ÷ 10 = 3939) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39390 a prime number?
No. 39390 = 2 × 3 × 5 × 13 × 101, so it is divisible by 2.
What are the factors of 39390?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 101, 130, 195, 202, 303, 390, 505, 606, 1010, 1313, 1515, 2626, 3030, 3939, 6565, 7878, 13130, 19695, 39390.
What is 39390 in binary?
1001100111011110 (hexadecimal 99DE, octal 114736).
What is the square root of 39390?
About 198.4691.
Is 39390 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 39390?
It is a composite number with 32 divisors.