The number 80184
80184 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 257. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 257 … 80184.
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How to work it out
- 1
80184 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80184 is composite. Its prime factorisation is
- 3
The divisors add up to 216720; without 80184 itself that is 136536, so 80184 is abundant (136536 is more than 80184). Euler's totient φ(80184) = 24576 numbers up to 80184 share no factor with it.
- 4
The digits of 80184 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80184 = 2^{3} \times 3 \times 13 \times 257 \]80184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 216720 |
| Euler totient φ(n) | 24576 |
| Square | 6429473856 |
| Cube | 515540931669504 |
| Square root | 283.167795 (= 2√20046) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0184 × |
80184 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and eighty-four |
| Binary (base 2) | 10011100100111000 |
| Octal (base 8) | 234470 |
| Hexadecimal (base 16) | 13938 |
| Base 3 | 11001222210 |
| As time | 80184 seconds = 22 h 16 min 24 s |
Is 80184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80184 ÷ 2 = 40092) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80184 ÷ 3 = 26728) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80184 ÷ 4 = 20046) | 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 (80184 ÷ 6 = 13364) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (80184 ÷ 8 = 10023) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (80184 ÷ 12 = 6682) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80184 a prime number?
No. 80184 = × 3 × 13 × 257, so it is divisible by 2.
What are the factors of 80184?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 257, 312, 514, 771, 1028, 1542, 2056, 3084, 3341, 6168, 6682, 10023, 13364, 20046, 26728, 40092, 80184.
What is 80184 in binary?
10011100100111000 (hexadecimal 13938, octal 234470).
What is the square root of 80184?
About 283.1678, exactly 2√20046.
Is 80184 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80184?
It is a composite number with 32 divisors.