The number 77804
77804 is a composite number with 12 divisors. Its prime factorisation is × 53 × 367. Divisors (12): 1, 2, 4, 53, 106, 212, 367, 734, 1468, 19451, 38902, 77804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77804 is composite. Its prime factorisation is
- 3
The divisors add up to 139104; without 77804 itself that is 61300, so 77804 is deficient (61300 is less than 77804). Euler's totient φ(77804) = 38064 numbers up to 77804 share no factor with it.
- 4
The digits of 77804 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77804 = 2^{2} \times 53 \times 367 \]77804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139104 |
| Euler totient φ(n) | 38064 |
| Square | 6053462416 |
| Cube | 470983589814464 |
| Square root | 278.933684 (= 2√19451) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7804 × |
77804 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and four |
| Binary (base 2) | 10010111111101100 |
| Octal (base 8) | 227754 |
| Hexadecimal (base 16) | 12FEC |
| Base 3 | 10221201122 |
| As time | 77804 seconds = 21 h 36 min 44 s |
Is 77804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77804 ÷ 2 = 38902) | 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 | Yes (77804 ÷ 4 = 19451) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77804 a prime number?
No. 77804 = × 53 × 367, so it is divisible by 2.
What are the factors of 77804?
1, 2, 4, 53, 106, 212, 367, 734, 1468, 19451, 38902, 77804.
What is 77804 in binary?
10010111111101100 (hexadecimal 12FEC, octal 227754).
What is the square root of 77804?
About 278.9337, exactly 2√19451.
Is 77804 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77804?
It is a composite number with 12 divisors.