The number 77826
77826 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 17 × 109. Divisors (32): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 109, 119, 218, 238 … 77826.
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How to work it out
- 1
77826 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77826 is composite. Its prime factorisation is
- 3
The divisors add up to 190080; without 77826 itself that is 112254, so 77826 is abundant (112254 is more than 77826). Euler's totient φ(77826) = 20736 numbers up to 77826 share no factor with it.
- 4
The digits of 77826 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77826 = 2 \times 3 \times 7 \times 17 \times 109 \]
77826 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 190080 |
| Euler totient φ(n) | 20736 |
| Square | 6056886276 |
| Cube | 471383231315976 |
| Square root | 278.973117 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7826 × |
77826 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and twenty-six |
| Binary (base 2) | 10011000000000010 |
| Octal (base 8) | 230002 |
| Hexadecimal (base 16) | 13002 |
| Base 3 | 10221202110 |
| As time | 77826 seconds = 21 h 37 min 6 s |
Is 77826 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77826 ÷ 2 = 38913) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77826 ÷ 3 = 25942) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77826 ÷ 6 = 12971) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77826 ÷ 7 = 11118) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 77826 a prime number?
No. 77826 = 2 × 3 × 7 × 17 × 109, so it is divisible by 2.
What are the factors of 77826?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 109, 119, 218, 238, 327, 357, 654, 714, 763, 1526, 1853, 2289, 3706, 4578, 5559, 11118, 12971, 25942, 38913, 77826.
What is 77826 in binary?
10011000000000010 (hexadecimal 13002, octal 230002).
What is the square root of 77826?
About 278.9731.
Is 77826 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77826?
It is a composite number with 32 divisors.