The number 8501
8501 is the 1060th prime number. Its only divisors are 1 and 8501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8501: the 1060th prime number.
- 2
8501 is prime, so its only factors are 1 and 8501. It is the 1060th prime; the next prime is 8513 and the one before is 8467.
- 3
The divisors add up to 8502; without 8501 itself that is 1, so 8501 is deficient (1 is less than 8501). Euler's totient φ(8501) = 8500 numbers up to 8501 share no factor with it.
- 4
The digits of 8501 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 127 steps to reach 1.
8501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8502 |
| Euler totient φ(n) | 8500 |
| Square | 72267001 |
| Cube | 614341775501 |
| Square root | 92.200868 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.501 × |
8501 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and one |
| Binary (base 2) | 10000100110101 |
| Octal (base 8) | 20465 |
| Hexadecimal (base 16) | 2135 |
| Base 3 | 102122212 |
| As time | 8501 seconds = 2 h 21 min 41 s |
Is 8501 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 1) | 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 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8501 a prime number?
Yes. 8501 is divisible only by 1 and itself.
What are the factors of 8501?
1, 8501.
What is 8501 in binary?
10000100110101 (hexadecimal 2135, octal 20465).
What is the square root of 8501?
About 92.2009.
Is 8501 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 8501?
8501 is the 1060th prime number.