The number 77922
77922 is a composite number with 40 divisors. Its prime factorisation is 2 × × 13 × 37. Divisors (40): 1, 2, 3, 6, 9, 13, 18, 26, 27, 37, 39, 54, 74, 78, 81, 111 … 77922.
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How to work it out
- 1
What is special about 77922: a Harshad number: divisible by its digit sum 27.
- 2
77922 is composite. Its prime factorisation is
- 3
The divisors add up to 193116; without 77922 itself that is 115194, so 77922 is abundant (115194 is more than 77922). Euler's totient φ(77922) = 23328 numbers up to 77922 share no factor with it.
- 4
The digits of 77922 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77922 = 2 \times 3^{4} \times 13 \times 37 \]77922 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 193116 |
| Euler totient φ(n) | 23328 |
| Square | 6071838084 |
| Cube | 473129767181448 |
| Square root | 279.145124 (= 9√962) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.7922 × |
77922 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and twenty-two |
| Binary (base 2) | 10011000001100010 |
| Octal (base 8) | 230142 |
| Hexadecimal (base 16) | 13062 |
| Base 3 | 10221220000 |
| As time | 77922 seconds = 21 h 38 min 42 s |
Is 77922 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77922 ÷ 2 = 38961) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77922 ÷ 3 = 25974) | 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 (77922 ÷ 6 = 12987) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77922 ÷ 9 = 8658) | 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 | No (remainder 9) | 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 77922 a prime number?
No. 77922 = 2 × × 13 × 37, so it is divisible by 2.
What are the factors of 77922?
1, 2, 3, 6, 9, 13, 18, 26, 27, 37, 39, 54, 74, 78, 81, 111, 117, 162, 222, 234, 333, 351, 481, 666, 702, 962, 999, 1053, 1443, 1998, 2106, 2886, 2997, 4329, 5994, 8658, 12987, 25974, 38961, 77922.
What is 77922 in binary?
10011000001100010 (hexadecimal 13062, octal 230142).
What is the square root of 77922?
About 279.1451, exactly 9√962.
Is 77922 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77922?
77922 is a Harshad number: divisible by its digit sum 27.