The number 65009
65009 is a composite number with 8 divisors. Its prime factorisation is 7 × 37 × 251. Divisors (8): 1, 7, 37, 251, 259, 1757, 9287, 65009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
65009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
65009 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 65009 itself that is 11599, so 65009 is deficient (11599 is less than 65009). Euler's totient φ(65009) = 54000 numbers up to 65009 share no factor with it.
- 4
The digits of 65009 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65009 = 7 \times 37 \times 251 \]
65009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 54000 |
| Square | 4226170081 |
| Cube | 274739090795729 |
| Square root | 254.968626 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.5009 × |
65009 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand and nine |
| Binary (base 2) | 1111110111110001 |
| Octal (base 8) | 176761 |
| Hexadecimal (base 16) | FDF1 |
| Base 3 | 10022011202 |
| As time | 65009 seconds = 18 h 3 min 29 s |
Is 65009 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (65009 ÷ 7 = 9287) | 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 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65009 a prime number?
No. 65009 = 7 × 37 × 251, so it is divisible by 7.
What are the factors of 65009?
1, 7, 37, 251, 259, 1757, 9287, 65009.
What is 65009 in binary?
1111110111110001 (hexadecimal FDF1, octal 176761).
What is the square root of 65009?
About 254.9686.
Is 65009 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 65009?
It is a composite number with 8 divisors.