The number 39908
39908 is a composite number with 12 divisors. Its prime factorisation is × 11 × 907. Divisors (12): 1, 2, 4, 11, 22, 44, 907, 1814, 3628, 9977, 19954, 39908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39908 is composite. Its prime factorisation is
- 3
The divisors add up to 76272; without 39908 itself that is 36364, so 39908 is deficient (36364 is less than 39908). Euler's totient φ(39908) = 18120 numbers up to 39908 share no factor with it.
- 4
The digits of 39908 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39908 = 2^{2} \times 11 \times 907 \]39908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76272 |
| Euler totient φ(n) | 18120 |
| Square | 1592648464 |
| Cube | 63559414901312 |
| Square root | 199.769868 (= 2√9977) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 44 |
| Scientific notation | 3.9908 × |
39908 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and eight |
| Binary (base 2) | 1001101111100100 |
| Octal (base 8) | 115744 |
| Hexadecimal (base 16) | 9BE4 |
| Base 3 | 2000202002 |
| As time | 39908 seconds = 11 h 5 min 8 s |
Is 39908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39908 ÷ 2 = 19954) | 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 (39908 ÷ 4 = 9977) | 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 | 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 2) | 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 | Yes (39908 ÷ 11 = 3628) | 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 39908 a prime number?
No. 39908 = × 11 × 907, so it is divisible by 2.
What are the factors of 39908?
1, 2, 4, 11, 22, 44, 907, 1814, 3628, 9977, 19954, 39908.
What is 39908 in binary?
1001101111100100 (hexadecimal 9BE4, octal 115744).
What is the square root of 39908?
About 199.7699, exactly 2√9977.
Is 39908 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 39908?
It is a composite number with 12 divisors.