The number 8513
8513 is the 1061st prime number. Its only divisors are 1 and 8513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8513: the 1061st prime number.
- 2
8513 is prime, so its only factors are 1 and 8513. It is the 1061st prime; the next prime is 8521 and the one before is 8501.
- 3
The divisors add up to 8514; without 8513 itself that is 1, so 8513 is deficient (1 is less than 8513). Euler's totient φ(8513) = 8512 numbers up to 8513 share no factor with it.
- 4
The digits of 8513 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 127 steps to reach 1.
8513 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8514 |
| Euler totient φ(n) | 8512 |
| Square | 72471169 |
| Cube | 616947061697 |
| Square root | 92.265920 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.513 × |
8513 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and thirteen |
| Binary (base 2) | 10000101000001 |
| Octal (base 8) | 20501 |
| Hexadecimal (base 16) | 2141 |
| Base 3 | 102200022 |
| As time | 8513 seconds = 2 h 21 min 53 s |
Is 8513 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 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 8) | 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 10) | 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 8513 a prime number?
Yes. 8513 is divisible only by 1 and itself.
What are the factors of 8513?
1, 8513.
What is 8513 in binary?
10000101000001 (hexadecimal 2141, octal 20501).
What is the square root of 8513?
About 92.2659.
Is 8513 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8513?
8513 is the 1061st prime number.