The number 8984
8984 is a composite number with 8 divisors. Its prime factorisation is × 1123. Divisors (8): 1, 2, 4, 8, 1123, 2246, 4492, 8984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8984 is composite. Its prime factorisation is
- 3
The divisors add up to 16860; without 8984 itself that is 7876, so 8984 is deficient (7876 is less than 8984). Euler's totient φ(8984) = 4488 numbers up to 8984 share no factor with it.
- 4
The digits of 8984 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8984 = 2^{3} \times 1123 \]8984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16860 |
| Euler totient φ(n) | 4488 |
| Square | 80712256 |
| Cube | 725118907904 |
| Square root | 94.783965 (= 2√2246) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.984 × |
8984 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and eighty-four |
| Binary (base 2) | 10001100011000 |
| Octal (base 8) | 21430 |
| Hexadecimal (base 16) | 2318 |
| Base 3 | 110022202 |
| As time | 8984 seconds = 2 h 29 min 44 s |
Is 8984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8984 ÷ 2 = 4492) | 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 | Yes (8984 ÷ 4 = 2246) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (8984 ÷ 8 = 1123) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8984 a prime number?
No. 8984 = × 1123, so it is divisible by 2.
What are the factors of 8984?
1, 2, 4, 8, 1123, 2246, 4492, 8984.
What is 8984 in binary?
10001100011000 (hexadecimal 2318, octal 21430).
What is the square root of 8984?
About 94.7840, exactly 2√2246.
Is 8984 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 8984?
It is a composite number with 8 divisors.