The number 39940
39940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1997. Divisors (12): 1, 2, 4, 5, 10, 20, 1997, 3994, 7988, 9985, 19970, 39940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39940 is composite. Its prime factorisation is
- 3
The divisors add up to 83916; without 39940 itself that is 43976, so 39940 is abundant (43976 is more than 39940). Euler's totient φ(39940) = 15968 numbers up to 39940 share no factor with it.
- 4
The digits of 39940 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39940 = 2^{2} \times 5 \times 1997 \]39940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83916 |
| Euler totient φ(n) | 15968 |
| Square | 1595203600 |
| Cube | 63712431784000 |
| Square root | 199.849944 (= 2√9985) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.994 × |
39940 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and forty |
| Binary (base 2) | 1001110000000100 |
| Octal (base 8) | 116004 |
| Hexadecimal (base 16) | 9C04 |
| Base 3 | 2000210021 |
| As time | 39940 seconds = 11 h 5 min 40 s |
Is 39940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39940 ÷ 2 = 19970) | 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 (39940 ÷ 4 = 9985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39940 ÷ 5 = 7988) | 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 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39940 ÷ 10 = 3994) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39940 a prime number?
No. 39940 = × 5 × 1997, so it is divisible by 2.
What are the factors of 39940?
1, 2, 4, 5, 10, 20, 1997, 3994, 7988, 9985, 19970, 39940.
What is 39940 in binary?
1001110000000100 (hexadecimal 9C04, octal 116004).
What is the square root of 39940?
About 199.8499, exactly 2√9985.
Is 39940 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 39940?
It is a composite number with 12 divisors.