The number 80795
80795 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 13 × 113. Divisors (16): 1, 5, 11, 13, 55, 65, 113, 143, 565, 715, 1243, 1469, 6215, 7345, 16159, 80795.
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How to work it out
- 1
What is special about 80795: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80795 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 80795 itself that is 34117, so 80795 is deficient (34117 is less than 80795). Euler's totient φ(80795) = 53760 numbers up to 80795 share no factor with it.
- 4
The digits of 80795 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80795 = 5 \times 11 \times 13 \times 113 \]
80795 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 53760 |
| Square | 6527832025 |
| Cube | 527416188459875 |
| Square root | 284.244613 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0795 × |
80795 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and ninety-five |
| Binary (base 2) | 10011101110011011 |
| Octal (base 8) | 235633 |
| Hexadecimal (base 16) | 13B9B |
| Base 3 | 11002211102 |
| As time | 80795 seconds = 22 h 26 min 35 s |
Is 80795 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 | No (remainder 2) | 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 (80795 ÷ 5 = 16159) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 (80795 ÷ 11 = 7345) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80795 a prime number?
No. 80795 = 5 × 11 × 13 × 113, so it is divisible by 5.
What are the factors of 80795?
1, 5, 11, 13, 55, 65, 113, 143, 565, 715, 1243, 1469, 6215, 7345, 16159, 80795.
What is 80795 in binary?
10011101110011011 (hexadecimal 13B9B, octal 235633).
What is the square root of 80795?
About 284.2446.
Is 80795 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 80795?
80795 is a happy number: repeatedly adding the squares of its digits reaches 1.