The number 7006
7006 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 113. Divisors (8): 1, 2, 31, 62, 113, 226, 3503, 7006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7006 is composite. Its prime factorisation is
- 3
The divisors add up to 10944; without 7006 itself that is 3938, so 7006 is deficient (3938 is less than 7006). Euler's totient φ(7006) = 3360 numbers up to 7006 share no factor with it.
- 4
The digits of 7006 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7006 = 2 \times 31 \times 113 \]
7006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10944 |
| Euler totient φ(n) | 3360 |
| Square | 49084036 |
| Cube | 343882756216 |
| Square root | 83.701852 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 88 |
| Scientific notation | 7.006 × |
7006 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and six |
| Binary (base 2) | 1101101011110 |
| Octal (base 8) | 15536 |
| Hexadecimal (base 16) | 1B5E |
| Base 3 | 100121111 |
| As time | 7006 seconds = 1 h 56 min 46 s |
Is 7006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7006 ÷ 2 = 3503) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7006 a prime number?
No. 7006 = 2 × 31 × 113, so it is divisible by 2.
What are the factors of 7006?
1, 2, 31, 62, 113, 226, 3503, 7006.
What is 7006 in binary?
1101101011110 (hexadecimal 1B5E, octal 15536).
What is the square root of 7006?
About 83.7019.
Is 7006 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7006?
It is a composite number with 8 divisors.