The number 39740
39740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1987. Divisors (12): 1, 2, 4, 5, 10, 20, 1987, 3974, 7948, 9935, 19870, 39740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39740 is composite. Its prime factorisation is
- 3
The divisors add up to 83496; without 39740 itself that is 43756, so 39740 is abundant (43756 is more than 39740). Euler's totient φ(39740) = 15888 numbers up to 39740 share no factor with it.
- 4
The digits of 39740 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39740 = 2^{2} \times 5 \times 1987 \]39740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83496 |
| Euler totient φ(n) | 15888 |
| Square | 1579267600 |
| Cube | 62760094424000 |
| Square root | 199.348940 (= 2√9935) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.974 × |
39740 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and forty |
| Binary (base 2) | 1001101100111100 |
| Octal (base 8) | 115474 |
| Hexadecimal (base 16) | 9B3C |
| Base 3 | 2000111212 |
| As time | 39740 seconds = 11 h 2 min 20 s |
Is 39740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39740 ÷ 2 = 19870) | 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 (39740 ÷ 4 = 9935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39740 ÷ 5 = 7948) | 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 | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39740 ÷ 10 = 3974) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 39740 a prime number?
No. 39740 = × 5 × 1987, so it is divisible by 2.
What are the factors of 39740?
1, 2, 4, 5, 10, 20, 1987, 3974, 7948, 9935, 19870, 39740.
What is 39740 in binary?
1001101100111100 (hexadecimal 9B3C, octal 115474).
What is the square root of 39740?
About 199.3489, exactly 2√9935.
Is 39740 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 39740?
It is a composite number with 12 divisors.