The number 39964
39964 is a composite number with 12 divisors. Its prime factorisation is × 97 × 103. Divisors (12): 1, 2, 4, 97, 103, 194, 206, 388, 412, 9991, 19982, 39964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39964 is composite. Its prime factorisation is
- 3
The divisors add up to 71344; without 39964 itself that is 31380, so 39964 is deficient (31380 is less than 39964). Euler's totient φ(39964) = 19584 numbers up to 39964 share no factor with it.
- 4
The digits of 39964 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39964 = 2^{2} \times 97 \times 103 \]39964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71344 |
| Euler totient φ(n) | 19584 |
| Square | 1597121296 |
| Cube | 63827355473344 |
| Square root | 199.909980 (= 2√9991) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.9964 × |
39964 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and sixty-four |
| Binary (base 2) | 1001110000011100 |
| Octal (base 8) | 116034 |
| Hexadecimal (base 16) | 9C1C |
| Base 3 | 2000211011 |
| As time | 39964 seconds = 11 h 6 min 4 s |
Is 39964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39964 ÷ 2 = 19982) | 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 | Yes (39964 ÷ 4 = 9991) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39964 a prime number?
No. 39964 = × 97 × 103, so it is divisible by 2.
What are the factors of 39964?
1, 2, 4, 97, 103, 194, 206, 388, 412, 9991, 19982, 39964.
What is 39964 in binary?
1001110000011100 (hexadecimal 9C1C, octal 116034).
What is the square root of 39964?
About 199.9100, exactly 2√9991.
Is 39964 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 39964?
It is a composite number with 12 divisors.