The number 3004
3004 is a composite number with 6 divisors. Its prime factorisation is × 751. Divisors (6): 1, 2, 4, 751, 1502, 3004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3004 is composite. Its prime factorisation is
- 3
The divisors add up to 5264; without 3004 itself that is 2260, so 3004 is deficient (2260 is less than 3004). Euler's totient φ(3004) = 1500 numbers up to 3004 share no factor with it.
- 4
The digits of 3004 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3004 = 2^{2} \times 751 \]3004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5264 |
| Euler totient φ(n) | 1500 |
| Square | 9024016 |
| Cube | 27108144064 |
| Square root | 54.808758 (= 2√751) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 141 |
| Scientific notation | 3.004 × |
3004 in other forms
| Form | Value |
|---|---|
| In words | three thousand and four |
| Roman numerals | MMMIV |
| Binary (base 2) | 101110111100 |
| Octal (base 8) | 5674 |
| Hexadecimal (base 16) | BBC |
| Base 3 | 11010021 |
| As time | 3004 seconds = 50 min 4 s |
Is 3004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3004 ÷ 2 = 1502) | 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 (3004 ÷ 4 = 751) | 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 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 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 1) | 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 3004 a prime number?
No. 3004 = × 751, so it is divisible by 2.
What are the factors of 3004?
1, 2, 4, 751, 1502, 3004.
What is 3004 in binary?
101110111100 (hexadecimal BBC, octal 5674).
What is the square root of 3004?
About 54.8088, exactly 2√751.
What is 3004 in Roman numerals?
MMMIV.
Is 3004 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 3004?
It is a composite number with 6 divisors.