The number 77322
77322 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 263. Divisors (24): 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 263, 294, 526, 789, 1578 … 77322.
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How to work it out
- 1
What is special about 77322: a Harshad number: divisible by its digit sum 21.
- 2
77322 is composite. Its prime factorisation is
- 3
The divisors add up to 180576; without 77322 itself that is 103254, so 77322 is abundant (103254 is more than 77322). Euler's totient φ(77322) = 22008 numbers up to 77322 share no factor with it.
- 4
The digits of 77322 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77322 = 2 \times 3 \times 7^{2} \times 263 \]77322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 180576 |
| Euler totient φ(n) | 22008 |
| Square | 5978691684 |
| Cube | 462284398390248 |
| Square root | 278.068337 (= 7√1578) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7322 × |
77322 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and twenty-two |
| Binary (base 2) | 10010111000001010 |
| Octal (base 8) | 227012 |
| Hexadecimal (base 16) | 12E0A |
| Base 3 | 10221001210 |
| As time | 77322 seconds = 21 h 28 min 42 s |
Is 77322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77322 ÷ 2 = 38661) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77322 ÷ 3 = 25774) | 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 (77322 ÷ 6 = 12887) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77322 ÷ 7 = 11046) | 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 | No (remainder 3) | 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 3) | 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 77322 a prime number?
No. 77322 = 2 × 3 × × 263, so it is divisible by 2.
What are the factors of 77322?
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 263, 294, 526, 789, 1578, 1841, 3682, 5523, 11046, 12887, 25774, 38661, 77322.
What is 77322 in binary?
10010111000001010 (hexadecimal 12E0A, octal 227012).
What is the square root of 77322?
About 278.0683, exactly 7√1578.
Is 77322 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77322?
77322 is a Harshad number: divisible by its digit sum 21.