The number 77796
77796 is a composite number with 18 divisors. Its prime factorisation is × × 2161. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2161, 4322, 6483, 8644, 12966, 19449, 25932 … 77796.
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How to work it out
- 1
What is special about 77796: a Harshad number: divisible by its digit sum 36.
- 2
77796 is composite. Its prime factorisation is
- 3
The divisors add up to 196742; without 77796 itself that is 118946, so 77796 is abundant (118946 is more than 77796). Euler's totient φ(77796) = 25920 numbers up to 77796 share no factor with it.
- 4
The digits of 77796 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77796 = 2^{2} \times 3^{2} \times 2161 \]77796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 196742 |
| Euler totient φ(n) | 25920 |
| Square | 6052217616 |
| Cube | 470838321654336 |
| Square root | 278.919343 (= 6√2161) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7796 × |
77796 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and ninety-six |
| Binary (base 2) | 10010111111100100 |
| Octal (base 8) | 227744 |
| Hexadecimal (base 16) | 12FE4 |
| Base 3 | 10221201100 |
| As time | 77796 seconds = 21 h 36 min 36 s |
Is 77796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77796 ÷ 2 = 38898) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77796 ÷ 3 = 25932) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77796 ÷ 4 = 19449) | 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 (77796 ÷ 6 = 12966) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (77796 ÷ 9 = 8644) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77796 ÷ 12 = 6483) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77796 a prime number?
No. 77796 = × × 2161, so it is divisible by 2.
What are the factors of 77796?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2161, 4322, 6483, 8644, 12966, 19449, 25932, 38898, 77796.
What is 77796 in binary?
10010111111100100 (hexadecimal 12FE4, octal 227744).
What is the square root of 77796?
About 278.9193, exactly 6√2161.
Is 77796 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 77796?
77796 is a Harshad number: divisible by its digit sum 36.