The number 77382
77382 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1433. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1433, 2866, 4299, 8598, 12897, 25794, 38691, 77382.
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How to work it out
- 1
What is special about 77382: a Harshad number: divisible by its digit sum 27.
- 2
77382 is composite. Its prime factorisation is
- 3
The divisors add up to 172080; without 77382 itself that is 94698, so 77382 is abundant (94698 is more than 77382). Euler's totient φ(77382) = 25776 numbers up to 77382 share no factor with it.
- 4
The digits of 77382 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77382 = 2 \times 3^{3} \times 1433 \]77382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 172080 |
| Euler totient φ(n) | 25776 |
| Square | 5987973924 |
| Cube | 463361398186968 |
| Square root | 278.176203 (= 3√8598) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7382 × |
77382 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and eighty-two |
| Binary (base 2) | 10010111001000110 |
| Octal (base 8) | 227106 |
| Hexadecimal (base 16) | 12E46 |
| Base 3 | 10221011000 |
| As time | 77382 seconds = 21 h 29 min 42 s |
Is 77382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77382 ÷ 2 = 38691) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77382 ÷ 3 = 25794) | 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 (77382 ÷ 6 = 12897) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (77382 ÷ 9 = 8598) | 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 8) | 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 77382 a prime number?
No. 77382 = 2 × × 1433, so it is divisible by 2.
What are the factors of 77382?
1, 2, 3, 6, 9, 18, 27, 54, 1433, 2866, 4299, 8598, 12897, 25794, 38691, 77382.
What is 77382 in binary?
10010111001000110 (hexadecimal 12E46, octal 227106).
What is the square root of 77382?
About 278.1762, exactly 3√8598.
Is 77382 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77382?
77382 is a Harshad number: divisible by its digit sum 27.