The number 80796
80796 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6733. Divisors (12): 1, 2, 3, 4, 6, 12, 6733, 13466, 20199, 26932, 40398, 80796.
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How to work it out
- 1
What is special about 80796: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80796 is composite. Its prime factorisation is
- 3
The divisors add up to 188552; without 80796 itself that is 107756, so 80796 is abundant (107756 is more than 80796). Euler's totient φ(80796) = 26928 numbers up to 80796 share no factor with it.
- 4
The digits of 80796 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80796 = 2^{2} \times 3 \times 6733 \]80796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 188552 |
| Euler totient φ(n) | 26928 |
| Square | 6527993616 |
| Cube | 527435772198336 |
| Square root | 284.246372 (= 2√20199) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 8.0796 × |
80796 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and ninety-six |
| Binary (base 2) | 10011101110011100 |
| Octal (base 8) | 235634 |
| Hexadecimal (base 16) | 13B9C |
| Base 3 | 11002211110 |
| As time | 80796 seconds = 22 h 26 min 36 s |
Is 80796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80796 ÷ 2 = 40398) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80796 ÷ 3 = 26932) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80796 ÷ 4 = 20199) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80796 ÷ 6 = 13466) | 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 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80796 ÷ 12 = 6733) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80796 a prime number?
No. 80796 = × 3 × 6733, so it is divisible by 2.
What are the factors of 80796?
1, 2, 3, 4, 6, 12, 6733, 13466, 20199, 26932, 40398, 80796.
What is 80796 in binary?
10011101110011100 (hexadecimal 13B9C, octal 235634).
What is the square root of 80796?
About 284.2464, exactly 2√20199.
Is 80796 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 80796?
80796 is a happy number: repeatedly adding the squares of its digits reaches 1.