The number 7009
7009 is a composite number with 4 divisors. Its prime factorisation is 43 × 163. Divisors (4): 1, 43, 163, 7009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7009: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 163, the product of two primes.
- 2
7009 is composite. Its prime factorisation is
- 3
The divisors add up to 7216; without 7009 itself that is 207, so 7009 is deficient (207 is less than 7009). Euler's totient φ(7009) = 6804 numbers up to 7009 share no factor with it.
- 4
The digits of 7009 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7009 = 43 \times 163 \]
7009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7216 |
| Euler totient φ(n) | 6804 |
| Square | 49126081 |
| Cube | 344324701729 |
| Square root | 83.719771 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 181 |
| Scientific notation | 7.009 × |
7009 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and nine |
| Binary (base 2) | 1101101100001 |
| Octal (base 8) | 15541 |
| Hexadecimal (base 16) | 1B61 |
| Base 3 | 100121121 |
| As time | 7009 seconds = 1 h 56 min 49 s |
Is 7009 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 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7009 a prime number?
No. 7009 = 43 × 163, so it is divisible by 43.
What are the factors of 7009?
1, 43, 163, 7009.
What is 7009 in binary?
1101101100001 (hexadecimal 1B61, octal 15541).
What is the square root of 7009?
About 83.7198.
Is 7009 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7009?
7009 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 163, the product of two primes.