The number 45013
45013 is the 4677th prime number. Its only divisors are 1 and 45013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 45013: the 4677th prime number.
- 2
45013 is prime, so its only factors are 1 and 45013. It is the 4677th prime; the next prime is 45053 and the one before is 45007.
- 3
The divisors add up to 45014; without 45013 itself that is 1, so 45013 is deficient (1 is less than 45013). Euler's totient φ(45013) = 45012 numbers up to 45013 share no factor with it.
- 4
The digits of 45013 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
45013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 45014 |
| Euler totient φ(n) | 45012 |
| Square | 2026170169 |
| Cube | 91203997817197 |
| Square root | 212.162673 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.5013 × |
45013 in other forms
| Form | Value |
|---|---|
| In words | forty-five thousand and thirteen |
| Binary (base 2) | 1010111111010101 |
| Octal (base 8) | 127725 |
| Hexadecimal (base 16) | AFD5 |
| Base 3 | 2021202011 |
| As time | 45013 seconds = 12 h 30 min 13 s |
Is 45013 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 3) | 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 3) | 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 4) | 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 1) | 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 45013 a prime number?
Yes. 45013 is divisible only by 1 and itself.
What are the factors of 45013?
1, 45013.
What is 45013 in binary?
1010111111010101 (hexadecimal AFD5, octal 127725).
What is the square root of 45013?
About 212.1627.
Is 45013 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 45013?
45013 is the 4677th prime number.