The number 39004
39004 is a composite number with 18 divisors. Its prime factorisation is × × 199. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 199, 398, 796, 1393, 2786, 5572, 9751 … 39004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39004 is composite. Its prime factorisation is
- 3
The divisors add up to 79800; without 39004 itself that is 40796, so 39004 is abundant (40796 is more than 39004). Euler's totient φ(39004) = 16632 numbers up to 39004 share no factor with it.
- 4
The digits of 39004 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39004 = 2^{2} \times 7^{2} \times 199 \]39004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 79800 |
| Euler totient φ(n) | 16632 |
| Square | 1521312016 |
| Cube | 59337253872064 |
| Square root | 197.494304 (= 14√199) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.9004 × |
39004 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and four |
| Binary (base 2) | 1001100001011100 |
| Octal (base 8) | 114134 |
| Hexadecimal (base 16) | 985C |
| Base 3 | 1222111121 |
| As time | 39004 seconds = 10 h 50 min 4 s |
Is 39004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39004 ÷ 2 = 19502) | 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 (39004 ÷ 4 = 9751) | 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 | Yes (39004 ÷ 7 = 5572) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 39004 a prime number?
No. 39004 = × × 199, so it is divisible by 2.
What are the factors of 39004?
1, 2, 4, 7, 14, 28, 49, 98, 196, 199, 398, 796, 1393, 2786, 5572, 9751, 19502, 39004.
What is 39004 in binary?
1001100001011100 (hexadecimal 985C, octal 114134).
What is the square root of 39004?
About 197.4943, exactly 14√199.
Is 39004 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 39004?
It is a composite number with 18 divisors.