The number 7005
7005 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 467. Divisors (8): 1, 3, 5, 15, 467, 1401, 2335, 7005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7005 is composite. Its prime factorisation is
- 3
The divisors add up to 11232; without 7005 itself that is 4227, so 7005 is deficient (4227 is less than 7005). Euler's totient φ(7005) = 3728 numbers up to 7005 share no factor with it.
- 4
The digits of 7005 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7005 = 3 \times 5 \times 467 \]
7005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11232 |
| Euler totient φ(n) | 3728 |
| Square | 49070025 |
| Cube | 343735525125 |
| Square root | 83.695878 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 7.005 × |
7005 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and five |
| Binary (base 2) | 1101101011101 |
| Octal (base 8) | 15535 |
| Hexadecimal (base 16) | 1B5D |
| Base 3 | 100121110 |
| As time | 7005 seconds = 1 h 56 min 45 s |
Is 7005 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7005 ÷ 3 = 2335) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7005 ÷ 5 = 1401) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7005 a prime number?
No. 7005 = 3 × 5 × 467, so it is divisible by 3.
What are the factors of 7005?
1, 3, 5, 15, 467, 1401, 2335, 7005.
What is 7005 in binary?
1101101011101 (hexadecimal 1B5D, octal 15535).
What is the square root of 7005?
About 83.6959.
Is 7005 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 7005?
It is a composite number with 8 divisors.