The number 80355
80355 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 487. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 487, 1461, 2435, 5357, 7305, 16071, 26785, 80355.
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How to work it out
- 1
80355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80355 is composite. Its prime factorisation is
- 3
The divisors add up to 140544; without 80355 itself that is 60189, so 80355 is deficient (60189 is less than 80355). Euler's totient φ(80355) = 38880 numbers up to 80355 share no factor with it.
- 4
The digits of 80355 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80355 = 3 \times 5 \times 11 \times 487 \]
80355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 140544 |
| Euler totient φ(n) | 38880 |
| Square | 6456926025 |
| Cube | 518846290738875 |
| Square root | 283.469575 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0355 × |
80355 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and fifty-five |
| Binary (base 2) | 10011100111100011 |
| Octal (base 8) | 234743 |
| Hexadecimal (base 16) | 139E3 |
| Base 3 | 11002020010 |
| As time | 80355 seconds = 22 h 19 min 15 s |
Is 80355 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80355 ÷ 3 = 26785) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80355 ÷ 5 = 16071) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80355 ÷ 11 = 7305) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80355 a prime number?
No. 80355 = 3 × 5 × 11 × 487, so it is divisible by 3.
What are the factors of 80355?
1, 3, 5, 11, 15, 33, 55, 165, 487, 1461, 2435, 5357, 7305, 16071, 26785, 80355.
What is 80355 in binary?
10011100111100011 (hexadecimal 139E3, octal 234743).
What is the square root of 80355?
About 283.4696.
Is 80355 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80355?
It is a composite number with 16 divisors.