The number 8701
8701 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 113. Divisors (8): 1, 7, 11, 77, 113, 791, 1243, 8701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8701 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8701 is composite. Its prime factorisation is
- 3
The divisors add up to 10944; without 8701 itself that is 2243, so 8701 is deficient (2243 is less than 8701). Euler's totient φ(8701) = 6720 numbers up to 8701 share no factor with it.
- 4
The digits of 8701 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8701 = 7 \times 11 \times 113 \]
8701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10944 |
| Euler totient φ(n) | 6720 |
| Square | 75707401 |
| Cube | 658730096101 |
| Square root | 93.279151 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.701 × |
8701 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and one |
| Binary (base 2) | 10000111111101 |
| Octal (base 8) | 20775 |
| Hexadecimal (base 16) | 21FD |
| Base 3 | 102221021 |
| As time | 8701 seconds = 2 h 25 min 1 s |
Is 8701 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 1) | 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 | Yes (8701 ÷ 7 = 1243) | 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 7) | 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 | Yes (8701 ÷ 11 = 791) | 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 8701 a prime number?
No. 8701 = 7 × 11 × 113, so it is divisible by 7.
What are the factors of 8701?
1, 7, 11, 77, 113, 791, 1243, 8701.
What is 8701 in binary?
10000111111101 (hexadecimal 21FD, octal 20775).
What is the square root of 8701?
About 93.2792.
Is 8701 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 8701?
It is a composite number with 8 divisors.