The number 80484
80484 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 353. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 353, 706, 1059, 1412 … 80484.
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How to work it out
- 1
80484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80484 is composite. Its prime factorisation is
- 3
The divisors add up to 198240; without 80484 itself that is 117756, so 80484 is abundant (117756 is more than 80484). Euler's totient φ(80484) = 25344 numbers up to 80484 share no factor with it.
- 4
The digits of 80484 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80484 = 2^{2} \times 3 \times 19 \times 353 \]80484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 198240 |
| Euler totient φ(n) | 25344 |
| Square | 6477674256 |
| Cube | 521349134819904 |
| Square root | 283.697021 (= 2√20121) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.0484 × |
80484 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and eighty-four |
| Binary (base 2) | 10011101001100100 |
| Octal (base 8) | 235144 |
| Hexadecimal (base 16) | 13A64 |
| Base 3 | 11002101220 |
| As time | 80484 seconds = 22 h 21 min 24 s |
Is 80484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80484 ÷ 2 = 40242) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80484 ÷ 3 = 26828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80484 ÷ 4 = 20121) | 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 (80484 ÷ 6 = 13414) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80484 ÷ 12 = 6707) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80484 a prime number?
No. 80484 = × 3 × 19 × 353, so it is divisible by 2.
What are the factors of 80484?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 353, 706, 1059, 1412, 2118, 4236, 6707, 13414, 20121, 26828, 40242, 80484.
What is 80484 in binary?
10011101001100100 (hexadecimal 13A64, octal 235144).
What is the square root of 80484?
About 283.6970, exactly 2√20121.
Is 80484 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 80484?
It is a composite number with 24 divisors.