The number 8484
8484 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 101. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404 … 8484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8484 is composite. Its prime factorisation is
- 3
The divisors add up to 22848; without 8484 itself that is 14364, so 8484 is abundant (14364 is more than 8484). Euler's totient φ(8484) = 2400 numbers up to 8484 share no factor with it.
- 4
The digits of 8484 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8484 = 2^{2} \times 3 \times 7 \times 101 \]8484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22848 |
| Euler totient φ(n) | 2400 |
| Square | 71978256 |
| Cube | 610663523904 |
| Square root | 92.108632 (= 2√2121) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 109 |
| Scientific notation | 8.484 × |
8484 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and eighty-four |
| Binary (base 2) | 10000100100100 |
| Octal (base 8) | 20444 |
| Hexadecimal (base 16) | 2124 |
| Base 3 | 102122020 |
| As time | 8484 seconds = 2 h 21 min 24 s |
Is 8484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8484 ÷ 2 = 4242) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8484 ÷ 3 = 2828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8484 ÷ 4 = 2121) | 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 | Yes (8484 ÷ 6 = 1414) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8484 ÷ 7 = 1212) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8484 ÷ 12 = 707) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8484 a prime number?
No. 8484 = × 3 × 7 × 101, so it is divisible by 2.
What are the factors of 8484?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484.
What is 8484 in binary?
10000100100100 (hexadecimal 2124, octal 20444).
What is the square root of 8484?
About 92.1086, exactly 2√2121.
Is 8484 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8484?
It is a composite number with 24 divisors.