The number 64013
64013 is the 6415th prime number. Its only divisors are 1 and 64013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64013: the 6415th prime number.
- 2
64013 is prime, so its only factors are 1 and 64013. It is the 6415th prime; the next prime is 64019 and the one before is 64007.
- 3
The divisors add up to 64014; without 64013 itself that is 1, so 64013 is deficient (1 is less than 64013). Euler's totient φ(64013) = 64012 numbers up to 64013 share no factor with it.
- 4
The digits of 64013 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
64013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 64014 |
| Euler totient φ(n) | 64012 |
| Square | 4097664169 |
| Cube | 262303776450197 |
| Square root | 253.007905 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.4013 × |
64013 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and thirteen |
| Binary (base 2) | 1111101000001101 |
| Octal (base 8) | 175015 |
| Hexadecimal (base 16) | FA0D |
| Base 3 | 10020210212 |
| As time | 64013 seconds = 17 h 46 min 53 s |
Is 64013 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 3) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 64013 a prime number?
Yes. 64013 is divisible only by 1 and itself.
What are the factors of 64013?
1, 64013.
What is 64013 in binary?
1111101000001101 (hexadecimal FA0D, octal 175015).
What is the square root of 64013?
About 253.0079.
Is 64013 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 64013?
64013 is the 6415th prime number.