The number 7004
7004 is a composite number with 12 divisors. Its prime factorisation is × 17 × 103. Divisors (12): 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7004 is composite. Its prime factorisation is
- 3
The divisors add up to 13104; without 7004 itself that is 6100, so 7004 is deficient (6100 is less than 7004). Euler's totient φ(7004) = 3264 numbers up to 7004 share no factor with it.
- 4
The digits of 7004 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7004 = 2^{2} \times 17 \times 103 \]7004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13104 |
| Euler totient φ(n) | 3264 |
| Square | 49056016 |
| Cube | 343588336064 |
| Square root | 83.689904 (= 2√1751) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 7.004 × |
7004 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and four |
| Binary (base 2) | 1101101011100 |
| Octal (base 8) | 15534 |
| Hexadecimal (base 16) | 1B5C |
| Base 3 | 100121102 |
| As time | 7004 seconds = 1 h 56 min 44 s |
Is 7004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7004 ÷ 2 = 3502) | 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 (7004 ÷ 4 = 1751) | 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 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 | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 7004 a prime number?
No. 7004 = × 17 × 103, so it is divisible by 2.
What are the factors of 7004?
1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004.
What is 7004 in binary?
1101101011100 (hexadecimal 1B5C, octal 15534).
What is the square root of 7004?
About 83.6899, exactly 2√1751.
Is 7004 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 7004?
It is a composite number with 12 divisors.