The number 83484
83484 is a composite number with 24 divisors. Its prime factorisation is × × 773. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 773, 1546, 2319, 3092 … 83484.
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How to work it out
- 1
What is special about 83484: a Harshad number: divisible by its digit sum 27.
- 2
83484 is composite. Its prime factorisation is
- 3
The divisors add up to 216720; without 83484 itself that is 133236, so 83484 is abundant (133236 is more than 83484). Euler's totient φ(83484) = 27792 numbers up to 83484 share no factor with it.
- 4
The digits of 83484 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83484 = 2^{2} \times 3^{3} \times 773 \]83484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 216720 |
| Euler totient φ(n) | 27792 |
| Square | 6969578256 |
| Cube | 581848271123904 |
| Square root | 288.935979 (= 6√2319) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3484 × |
83484 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and eighty-four |
| Binary (base 2) | 10100011000011100 |
| Octal (base 8) | 243034 |
| Hexadecimal (base 16) | 1461C |
| Base 3 | 11020112000 |
| As time | 83484 seconds = 23 h 11 min 24 s |
Is 83484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83484 ÷ 2 = 41742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83484 ÷ 3 = 27828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83484 ÷ 4 = 20871) | 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 (83484 ÷ 6 = 13914) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (83484 ÷ 9 = 9276) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83484 ÷ 12 = 6957) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83484 a prime number?
No. 83484 = × × 773, so it is divisible by 2.
What are the factors of 83484?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 773, 1546, 2319, 3092, 4638, 6957, 9276, 13914, 20871, 27828, 41742, 83484.
What is 83484 in binary?
10100011000011100 (hexadecimal 1461C, octal 243034).
What is the square root of 83484?
About 288.9360, exactly 6√2319.
Is 83484 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83484?
83484 is a Harshad number: divisible by its digit sum 27.