The number 64009
64009 is a perfect square (253²). Its prime factorisation is × . Divisors (9): 1, 11, 23, 121, 253, 529, 2783, 5819, 64009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64009: a perfect square (253²); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
64009 is composite. Its prime factorisation is
- 3
The divisors add up to 73549; without 64009 itself that is 9540, so 64009 is deficient (9540 is less than 64009). Euler's totient φ(64009) = 55660 numbers up to 64009 share no factor with it.
- 4
The digits of 64009 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64009 = 11^{2} \times 23^{2} \]64009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 73549 |
| Euler totient φ(n) | 55660 |
| Square | 4097152081 |
| Cube | 262254607552729 |
| Square root | 253 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.4009 × |
| Perfect power |
64009 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and nine |
| Binary (base 2) | 1111101000001001 |
| Octal (base 8) | 175011 |
| Hexadecimal (base 16) | FA09 |
| Base 3 | 10020210201 |
| As time | 64009 seconds = 17 h 46 min 49 s |
Is 64009 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 1) | 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 1) | 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 | Yes (64009 ÷ 11 = 5819) | 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 64009 a prime number?
No. 64009 = × , so it is divisible by 11.
What are the factors of 64009?
1, 11, 23, 121, 253, 529, 2783, 5819, 64009.
What is 64009 in binary?
1111101000001001 (hexadecimal FA09, octal 175011).
What is the square root of 64009?
253, because 253 × 253 = 64009.
Is 64009 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 64009?
64009 is a perfect square (253²); a happy number: repeatedly adding the squares of its digits reaches 1.