The number 4513
4513 is the 612th prime number. Its only divisors are 1 and 4513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4513: the 612th prime number.
- 2
4513 is prime, so its only factors are 1 and 4513. It is the 612th prime; the next prime is 4517 and the one before is 4507.
- 3
The divisors add up to 4514; without 4513 itself that is 1, so 4513 is deficient (1 is less than 4513). Euler's totient φ(4513) = 4512 numbers up to 4513 share no factor with it.
- 4
The digits of 4513 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 183 steps to reach 1.
4513 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4514 |
| Euler totient φ(n) | 4512 |
| Square | 20367169 |
| Cube | 91917033697 |
| Square root | 67.178866 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 183 |
| Scientific notation | 4.513 × |
4513 in other forms
| Form | Value |
|---|---|
| In words | four thousand five hundred and thirteen |
| Binary (base 2) | 1000110100001 |
| Octal (base 8) | 10641 |
| Hexadecimal (base 16) | 11A1 |
| Base 3 | 20012011 |
| As time | 4513 seconds = 1 h 15 min 13 s |
Is 4513 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 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 1) | 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 3) | 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 4513 a prime number?
Yes. 4513 is divisible only by 1 and itself.
What are the factors of 4513?
1, 4513.
What is 4513 in binary?
1000110100001 (hexadecimal 11A1, octal 10641).
What is the square root of 4513?
About 67.1789.
Is 4513 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4513?
4513 is the 612th prime number.