The number 6004
6004 is a composite number with 12 divisors. Its prime factorisation is × 19 × 79. Divisors (12): 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6004 is composite. Its prime factorisation is
- 3
The divisors add up to 11200; without 6004 itself that is 5196, so 6004 is deficient (5196 is less than 6004). Euler's totient φ(6004) = 2808 numbers up to 6004 share no factor with it.
- 4
The digits of 6004 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6004 = 2^{2} \times 19 \times 79 \]6004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11200 |
| Euler totient φ(n) | 2808 |
| Square | 36048016 |
| Cube | 216432288064 |
| Square root | 77.485483 (= 2√1501) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 6.004 × |
6004 in other forms
| Form | Value |
|---|---|
| In words | six thousand and four |
| Binary (base 2) | 1011101110100 |
| Octal (base 8) | 13564 |
| Hexadecimal (base 16) | 1774 |
| Base 3 | 22020101 |
| As time | 6004 seconds = 1 h 40 min 4 s |
Is 6004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6004 ÷ 2 = 3002) | 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 (6004 ÷ 4 = 1501) | 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 | 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 1) | 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 6004 a prime number?
No. 6004 = × 19 × 79, so it is divisible by 2.
What are the factors of 6004?
1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004.
What is 6004 in binary?
1011101110100 (hexadecimal 1774, octal 13564).
What is the square root of 6004?
About 77.4855, exactly 2√1501.
Is 6004 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 6004?
It is a composite number with 12 divisors.