The number 80364
80364 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 181. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 181, 222, 362, 444, 543, 724 … 80364.
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How to work it out
- 1
80364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80364 is composite. Its prime factorisation is
- 3
The divisors add up to 193648; without 80364 itself that is 113284, so 80364 is abundant (113284 is more than 80364). Euler's totient φ(80364) = 25920 numbers up to 80364 share no factor with it.
- 4
The digits of 80364 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80364 = 2^{2} \times 3 \times 37 \times 181 \]80364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 193648 |
| Euler totient φ(n) | 25920 |
| Square | 6458372496 |
| Cube | 519020647268544 |
| Square root | 283.485449 (= 2√20091) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0364 × |
80364 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and sixty-four |
| Binary (base 2) | 10011100111101100 |
| Octal (base 8) | 234754 |
| Hexadecimal (base 16) | 139EC |
| Base 3 | 11002020110 |
| As time | 80364 seconds = 22 h 19 min 24 s |
Is 80364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80364 ÷ 2 = 40182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80364 ÷ 3 = 26788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80364 ÷ 4 = 20091) | 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 (80364 ÷ 6 = 13394) | 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 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80364 ÷ 12 = 6697) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80364 a prime number?
No. 80364 = × 3 × 37 × 181, so it is divisible by 2.
What are the factors of 80364?
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 181, 222, 362, 444, 543, 724, 1086, 2172, 6697, 13394, 20091, 26788, 40182, 80364.
What is 80364 in binary?
10011100111101100 (hexadecimal 139EC, octal 234754).
What is the square root of 80364?
About 283.4854, exactly 2√20091.
Is 80364 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80364?
It is a composite number with 24 divisors.