The number 8772
8772 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 43. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204 … 8772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8772 is composite. Its prime factorisation is
- 3
The divisors add up to 22176; without 8772 itself that is 13404, so 8772 is abundant (13404 is more than 8772). Euler's totient φ(8772) = 2688 numbers up to 8772 share no factor with it.
- 4
The digits of 8772 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8772 = 2^{2} \times 3 \times 17 \times 43 \]8772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22176 |
| Euler totient φ(n) | 2688 |
| Square | 76947984 |
| Cube | 674987715648 |
| Square root | 93.658956 (= 2√2193) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.772 × |
8772 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and seventy-two |
| Binary (base 2) | 10001001000100 |
| Octal (base 8) | 21104 |
| Hexadecimal (base 16) | 2244 |
| Base 3 | 110000220 |
| As time | 8772 seconds = 2 h 26 min 12 s |
Is 8772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8772 ÷ 2 = 4386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8772 ÷ 3 = 2924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8772 ÷ 4 = 2193) | 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 | Yes (8772 ÷ 6 = 1462) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8772 ÷ 12 = 731) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8772 a prime number?
No. 8772 = × 3 × 17 × 43, so it is divisible by 2.
What are the factors of 8772?
1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772.
What is 8772 in binary?
10001001000100 (hexadecimal 2244, octal 21104).
What is the square root of 8772?
About 93.6590, exactly 2√2193.
Is 8772 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8772?
It is a composite number with 24 divisors.