The number 84984
84984 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3541. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3541, 7082, 10623, 14164, 21246, 28328, 42492, 84984.
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How to work it out
- 1
84984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84984 is composite. Its prime factorisation is
- 3
The divisors add up to 212520; without 84984 itself that is 127536, so 84984 is abundant (127536 is more than 84984). Euler's totient φ(84984) = 28320 numbers up to 84984 share no factor with it.
- 4
The digits of 84984 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84984 = 2^{3} \times 3 \times 3541 \]84984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 212520 |
| Euler totient φ(n) | 28320 |
| Square | 7222280256 |
| Cube | 613778265275904 |
| Square root | 291.520154 (= 2√21246) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.4984 × |
84984 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand nine hundred and eighty-four |
| Binary (base 2) | 10100101111111000 |
| Octal (base 8) | 245770 |
| Hexadecimal (base 16) | 14BF8 |
| Base 3 | 11022120120 |
| As time | 84984 seconds = 23 h 36 min 24 s |
Is 84984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84984 ÷ 2 = 42492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84984 ÷ 3 = 28328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84984 ÷ 4 = 21246) | 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 (84984 ÷ 6 = 14164) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (84984 ÷ 8 = 10623) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (84984 ÷ 12 = 7082) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84984 a prime number?
No. 84984 = × 3 × 3541, so it is divisible by 2.
What are the factors of 84984?
1, 2, 3, 4, 6, 8, 12, 24, 3541, 7082, 10623, 14164, 21246, 28328, 42492, 84984.
What is 84984 in binary?
10100101111111000 (hexadecimal 14BF8, octal 245770).
What is the square root of 84984?
About 291.5202, exactly 2√21246.
Is 84984 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 84984?
It is a composite number with 16 divisors.