The number 77084
77084 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2753. Divisors (12): 1, 2, 4, 7, 14, 28, 2753, 5506, 11012, 19271, 38542, 77084.
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How to work it out
- 1
77084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77084 is composite. Its prime factorisation is
- 3
The divisors add up to 154224; without 77084 itself that is 77140, so 77084 is abundant (77140 is more than 77084). Euler's totient φ(77084) = 33024 numbers up to 77084 share no factor with it.
- 4
The digits of 77084 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77084 = 2^{2} \times 7 \times 2753 \]77084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 154224 |
| Euler totient φ(n) | 33024 |
| Square | 5941943056 |
| Cube | 458028738528704 |
| Square root | 277.640055 (= 2√19271) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7084 × |
77084 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and eighty-four |
| Binary (base 2) | 10010110100011100 |
| Octal (base 8) | 226434 |
| Hexadecimal (base 16) | 12D1C |
| Base 3 | 10220201222 |
| As time | 77084 seconds = 21 h 24 min 44 s |
Is 77084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77084 ÷ 2 = 38542) | 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 (77084 ÷ 4 = 19271) | 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 | Yes (77084 ÷ 7 = 11012) | 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 7) | 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 77084 a prime number?
No. 77084 = × 7 × 2753, so it is divisible by 2.
What are the factors of 77084?
1, 2, 4, 7, 14, 28, 2753, 5506, 11012, 19271, 38542, 77084.
What is 77084 in binary?
10010110100011100 (hexadecimal 12D1C, octal 226434).
What is the square root of 77084?
About 277.6401, exactly 2√19271.
Is 77084 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77084?
It is a composite number with 12 divisors.