The number 77682
77682 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 107. Divisors (24): 1, 2, 3, 6, 11, 22, 33, 66, 107, 121, 214, 242, 321, 363, 642, 726 … 77682.
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How to work it out
- 1
77682 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77682 is composite. Its prime factorisation is
- 3
The divisors add up to 172368; without 77682 itself that is 94686, so 77682 is abundant (94686 is more than 77682). Euler's totient φ(77682) = 23320 numbers up to 77682 share no factor with it.
- 4
The digits of 77682 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77682 = 2 \times 3 \times 11^{2} \times 107 \]77682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 172368 |
| Euler totient φ(n) | 23320 |
| Square | 6034493124 |
| Cube | 468771494858568 |
| Square root | 278.714908 (= 11√642) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7682 × |
77682 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and eighty-two |
| Binary (base 2) | 10010111101110010 |
| Octal (base 8) | 227562 |
| Hexadecimal (base 16) | 12F72 |
| Base 3 | 10221120010 |
| As time | 77682 seconds = 21 h 34 min 42 s |
Is 77682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77682 ÷ 2 = 38841) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77682 ÷ 3 = 25894) | 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 (77682 ÷ 6 = 12947) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (77682 ÷ 11 = 7062) | 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 77682 a prime number?
No. 77682 = 2 × 3 × × 107, so it is divisible by 2.
What are the factors of 77682?
1, 2, 3, 6, 11, 22, 33, 66, 107, 121, 214, 242, 321, 363, 642, 726, 1177, 2354, 3531, 7062, 12947, 25894, 38841, 77682.
What is 77682 in binary?
10010111101110010 (hexadecimal 12F72, octal 227562).
What is the square root of 77682?
About 278.7149, exactly 11√642.
Is 77682 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77682?
It is a composite number with 24 divisors.