The number 8722
8722 is a composite number with 12 divisors. Its prime factorisation is 2 × × 89. Divisors (12): 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8722 is composite. Its prime factorisation is
- 3
The divisors add up to 15390; without 8722 itself that is 6668, so 8722 is deficient (6668 is less than 8722). Euler's totient φ(8722) = 3696 numbers up to 8722 share no factor with it.
- 4
The digits of 8722 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8722 = 2 \times 7^{2} \times 89 \]8722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15390 |
| Euler totient φ(n) | 3696 |
| Square | 76073284 |
| Cube | 663511183048 |
| Square root | 93.391648 (= 7√178) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.722 × |
8722 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and twenty-two |
| Binary (base 2) | 10001000010010 |
| Octal (base 8) | 21022 |
| Hexadecimal (base 16) | 2212 |
| Base 3 | 102222001 |
| As time | 8722 seconds = 2 h 25 min 22 s |
Is 8722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8722 ÷ 2 = 4361) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8722 ÷ 7 = 1246) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8722 a prime number?
No. 8722 = 2 × × 89, so it is divisible by 2.
What are the factors of 8722?
1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722.
What is 8722 in binary?
10001000010010 (hexadecimal 2212, octal 21022).
What is the square root of 8722?
About 93.3916, exactly 7√178.
Is 8722 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8722?
It is a composite number with 12 divisors.