The number 39738
39738 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 179. Divisors (16): 1, 2, 3, 6, 37, 74, 111, 179, 222, 358, 537, 1074, 6623, 13246, 19869, 39738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39738 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 39738 itself that is 42342, so 39738 is abundant (42342 is more than 39738). Euler's totient φ(39738) = 12816 numbers up to 39738 share no factor with it.
- 4
The digits of 39738 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39738 = 2 \times 3 \times 37 \times 179 \]
39738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 12816 |
| Square | 1579108644 |
| Cube | 62750619295272 |
| Square root | 199.343924 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.9738 × |
39738 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and thirty-eight |
| Binary (base 2) | 1001101100111010 |
| Octal (base 8) | 115472 |
| Hexadecimal (base 16) | 9B3A |
| Base 3 | 2000111210 |
| As time | 39738 seconds = 11 h 2 min 18 s |
Is 39738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39738 ÷ 2 = 19869) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39738 ÷ 3 = 13246) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (39738 ÷ 6 = 6623) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | 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 39738 a prime number?
No. 39738 = 2 × 3 × 37 × 179, so it is divisible by 2.
What are the factors of 39738?
1, 2, 3, 6, 37, 74, 111, 179, 222, 358, 537, 1074, 6623, 13246, 19869, 39738.
What is 39738 in binary?
1001101100111010 (hexadecimal 9B3A, octal 115472).
What is the square root of 39738?
About 199.3439.
Is 39738 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 39738?
It is a composite number with 16 divisors.