The number 77788
77788 is a composite number with 6 divisors. Its prime factorisation is × 19447. Divisors (6): 1, 2, 4, 19447, 38894, 77788.
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How to work it out
- 1
77788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77788 is composite. Its prime factorisation is
- 3
The divisors add up to 136136; without 77788 itself that is 58348, so 77788 is deficient (58348 is less than 77788). Euler's totient φ(77788) = 38892 numbers up to 77788 share no factor with it.
- 4
The digits of 77788 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77788 = 2^{2} \times 19447 \]77788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 136136 |
| Euler totient φ(n) | 38892 |
| Square | 6050972944 |
| Cube | 470693083367872 |
| Square root | 278.905002 (= 2√19447) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7788 × |
77788 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and eighty-eight |
| Binary (base 2) | 10010111111011100 |
| Octal (base 8) | 227734 |
| Hexadecimal (base 16) | 12FDC |
| Base 3 | 10221201001 |
| As time | 77788 seconds = 21 h 36 min 28 s |
Is 77788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77788 ÷ 2 = 38894) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77788 ÷ 4 = 19447) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77788 a prime number?
No. 77788 = × 19447, so it is divisible by 2.
What are the factors of 77788?
1, 2, 4, 19447, 38894, 77788.
What is 77788 in binary?
10010111111011100 (hexadecimal 12FDC, octal 227734).
What is the square root of 77788?
About 278.9050, exactly 2√19447.
Is 77788 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 77788?
It is a composite number with 6 divisors.