The number 8747
8747 is the 1091st prime number. Its only divisors are 1 and 8747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8747: the 1091st prime number.
- 2
8747 is prime, so its only factors are 1 and 8747. It is the 1091st prime; the next prime is 8753 and the one before is 8741.
- 3
The divisors add up to 8748; without 8747 itself that is 1, so 8747 is deficient (1 is less than 8747). Euler's totient φ(8747) = 8746 numbers up to 8747 share no factor with it.
- 4
The digits of 8747 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
8747 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8748 |
| Euler totient φ(n) | 8746 |
| Square | 76510009 |
| Cube | 669233048723 |
| Square root | 93.525398 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.747 × |
8747 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and forty-seven |
| Binary (base 2) | 10001000101011 |
| Octal (base 8) | 21053 |
| Hexadecimal (base 16) | 222B |
| Base 3 | 102222222 |
| As time | 8747 seconds = 2 h 25 min 47 s |
Is 8747 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8747 a prime number?
Yes. 8747 is divisible only by 1 and itself.
What are the factors of 8747?
1, 8747.
What is 8747 in binary?
10001000101011 (hexadecimal 222B, octal 21053).
What is the square root of 8747?
About 93.5254.
Is 8747 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 8747?
8747 is the 1091st prime number.