The number 63009
63009 is a composite number with 6 divisors. Its prime factorisation is × 7001. Divisors (6): 1, 3, 9, 7001, 21003, 63009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
63009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
63009 is composite. Its prime factorisation is
- 3
The divisors add up to 91026; without 63009 itself that is 28017, so 63009 is deficient (28017 is less than 63009). Euler's totient φ(63009) = 42000 numbers up to 63009 share no factor with it.
- 4
The digits of 63009 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63009 = 3^{2} \times 7001 \]63009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 91026 |
| Euler totient φ(n) | 42000 |
| Square | 3970134081 |
| Cube | 250154178309729 |
| Square root | 251.015936 (= 3√7001) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.3009 × |
63009 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand and nine |
| Binary (base 2) | 1111011000100001 |
| Octal (base 8) | 173041 |
| Hexadecimal (base 16) | F621 |
| Base 3 | 10012102200 |
| As time | 63009 seconds = 17 h 30 min 9 s |
Is 63009 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 (63009 ÷ 3 = 21003) | 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 3) | 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 | Yes (63009 ÷ 9 = 7001) | 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 1) | 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 63009 a prime number?
No. 63009 = × 7001, so it is divisible by 3.
What are the factors of 63009?
1, 3, 9, 7001, 21003, 63009.
What is 63009 in binary?
1111011000100001 (hexadecimal F621, octal 173041).
What is the square root of 63009?
About 251.0159, exactly 3√7001.
Is 63009 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 63009?
It is a composite number with 6 divisors.