The number 77022
77022 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 389. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 389, 778, 1167, 2334 … 77022.
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How to work it out
- 1
What is special about 77022: a Harshad number: divisible by its digit sum 18.
- 2
77022 is composite. Its prime factorisation is
- 3
The divisors add up to 182520; without 77022 itself that is 105498, so 77022 is abundant (105498 is more than 77022). Euler's totient φ(77022) = 23280 numbers up to 77022 share no factor with it.
- 4
The digits of 77022 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77022 = 2 \times 3^{2} \times 11 \times 389 \]77022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 182520 |
| Euler totient φ(n) | 23280 |
| Square | 5932388484 |
| Cube | 456924425814648 |
| Square root | 277.528377 (= 3√8558) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.7022 × |
77022 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and twenty-two |
| Binary (base 2) | 10010110011011110 |
| Octal (base 8) | 226336 |
| Hexadecimal (base 16) | 12CDE |
| Base 3 | 10220122200 |
| As time | 77022 seconds = 21 h 23 min 42 s |
Is 77022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77022 ÷ 2 = 38511) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77022 ÷ 3 = 25674) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77022 ÷ 6 = 12837) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77022 ÷ 9 = 8558) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77022 ÷ 11 = 7002) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77022 a prime number?
No. 77022 = 2 × × 11 × 389, so it is divisible by 2.
What are the factors of 77022?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 389, 778, 1167, 2334, 3501, 4279, 7002, 8558, 12837, 25674, 38511, 77022.
What is 77022 in binary?
10010110011011110 (hexadecimal 12CDE, octal 226336).
What is the square root of 77022?
About 277.5284, exactly 3√8558.
Is 77022 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 77022?
77022 is a Harshad number: divisible by its digit sum 18.