The number 39704
39704 is a composite number with 16 divisors. Its prime factorisation is × 7 × 709. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 709, 1418, 2836, 4963, 5672, 9926, 19852, 39704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39704 is composite. Its prime factorisation is
- 3
The divisors add up to 85200; without 39704 itself that is 45496, so 39704 is abundant (45496 is more than 39704). Euler's totient φ(39704) = 16992 numbers up to 39704 share no factor with it.
- 4
The digits of 39704 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39704 = 2^{3} \times 7 \times 709 \]39704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 85200 |
| Euler totient φ(n) | 16992 |
| Square | 1576407616 |
| Cube | 62589687985664 |
| Square root | 199.258626 (= 2√9926) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 3.9704 × |
39704 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and four |
| Binary (base 2) | 1001101100011000 |
| Octal (base 8) | 115430 |
| Hexadecimal (base 16) | 9B18 |
| Base 3 | 2000110112 |
| As time | 39704 seconds = 11 h 1 min 44 s |
Is 39704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39704 ÷ 2 = 19852) | 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 (39704 ÷ 4 = 9926) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (39704 ÷ 7 = 5672) | 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 (39704 ÷ 8 = 4963) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 39704 a prime number?
No. 39704 = × 7 × 709, so it is divisible by 2.
What are the factors of 39704?
1, 2, 4, 7, 8, 14, 28, 56, 709, 1418, 2836, 4963, 5672, 9926, 19852, 39704.
What is 39704 in binary?
1001101100011000 (hexadecimal 9B18, octal 115430).
What is the square root of 39704?
About 199.2586, exactly 2√9926.
Is 39704 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 39704?
It is a composite number with 16 divisors.