The number 64007
64007 is the 6414th prime number. Its only divisors are 1 and 64007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64007: the 6414th prime number.
- 2
64007 is prime, so its only factors are 1 and 64007. It is the 6414th prime; the next prime is 64013 and the one before is 63997.
- 3
The divisors add up to 64008; without 64007 itself that is 1, so 64007 is deficient (1 is less than 64007). Euler's totient φ(64007) = 64006 numbers up to 64007 share no factor with it.
- 4
The digits of 64007 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
64007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 64008 |
| Euler totient φ(n) | 64006 |
| Square | 4096896049 |
| Cube | 262230025408343 |
| Square root | 252.996047 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.4007 × |
64007 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and seven |
| Binary (base 2) | 1111101000000111 |
| Octal (base 8) | 175007 |
| Hexadecimal (base 16) | FA07 |
| Base 3 | 10020210122 |
| As time | 64007 seconds = 17 h 46 min 47 s |
Is 64007 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64007 a prime number?
Yes. 64007 is divisible only by 1 and itself.
What are the factors of 64007?
1, 64007.
What is 64007 in binary?
1111101000000111 (hexadecimal FA07, octal 175007).
What is the square root of 64007?
About 252.9960.
Is 64007 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 64007?
64007 is the 6414th prime number.