The number 77020
77020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3851. Divisors (12): 1, 2, 4, 5, 10, 20, 3851, 7702, 15404, 19255, 38510, 77020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77020 is composite. Its prime factorisation is
- 3
The divisors add up to 161784; without 77020 itself that is 84764, so 77020 is abundant (84764 is more than 77020). Euler's totient φ(77020) = 30800 numbers up to 77020 share no factor with it.
- 4
The digits of 77020 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77020 = 2^{2} \times 5 \times 3851 \]77020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 161784 |
| Euler totient φ(n) | 30800 |
| Square | 5932080400 |
| Cube | 456888832408000 |
| Square root | 277.524774 (= 2√19255) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.702 × |
77020 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and twenty |
| Binary (base 2) | 10010110011011100 |
| Octal (base 8) | 226334 |
| Hexadecimal (base 16) | 12CDC |
| Base 3 | 10220122121 |
| As time | 77020 seconds = 21 h 23 min 40 s |
Is 77020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77020 ÷ 2 = 38510) | 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 (77020 ÷ 4 = 19255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77020 ÷ 5 = 15404) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77020 ÷ 10 = 7702) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 77020 a prime number?
No. 77020 = × 5 × 3851, so it is divisible by 2.
What are the factors of 77020?
1, 2, 4, 5, 10, 20, 3851, 7702, 15404, 19255, 38510, 77020.
What is 77020 in binary?
10010110011011100 (hexadecimal 12CDC, octal 226334).
What is the square root of 77020?
About 277.5248, exactly 2√19255.
Is 77020 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 77020?
It is a composite number with 12 divisors.