The number 39008
39008 is a composite number with 24 divisors. Its prime factorisation is × 23 × 53. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 46, 53, 92, 106, 184, 212, 368, 424, 736 … 39008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39008 is composite. Its prime factorisation is
- 3
The divisors add up to 81648; without 39008 itself that is 42640, so 39008 is abundant (42640 is more than 39008). Euler's totient φ(39008) = 18304 numbers up to 39008 share no factor with it.
- 4
The digits of 39008 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39008 = 2^{5} \times 23 \times 53 \]39008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 81648 |
| Euler totient φ(n) | 18304 |
| Square | 1521624064 |
| Cube | 59355511488512 |
| Square root | 197.504430 (= 4√2438) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9008 × |
39008 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and eight |
| Binary (base 2) | 1001100001100000 |
| Octal (base 8) | 114140 |
| Hexadecimal (base 16) | 9860 |
| Base 3 | 1222111202 |
| As time | 39008 seconds = 10 h 50 min 8 s |
Is 39008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39008 ÷ 2 = 19504) | 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 (39008 ÷ 4 = 9752) | 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 4) | 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 (39008 ÷ 8 = 4876) | 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 | No (remainder 2) | 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 39008 a prime number?
No. 39008 = × 23 × 53, so it is divisible by 2.
What are the factors of 39008?
1, 2, 4, 8, 16, 23, 32, 46, 53, 92, 106, 184, 212, 368, 424, 736, 848, 1219, 1696, 2438, 4876, 9752, 19504, 39008.
What is 39008 in binary?
1001100001100000 (hexadecimal 9860, octal 114140).
What is the square root of 39008?
About 197.5044, exactly 4√2438.
Is 39008 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 39008?
It is a composite number with 24 divisors.