The number 77326
77326 is a composite number with 12 divisors. Its prime factorisation is 2 × 23 × . Divisors (12): 1, 2, 23, 41, 46, 82, 943, 1681, 1886, 3362, 38663, 77326.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77326 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77326 is composite. Its prime factorisation is
- 3
The divisors add up to 124056; without 77326 itself that is 46730, so 77326 is deficient (46730 is less than 77326). Euler's totient φ(77326) = 36080 numbers up to 77326 share no factor with it.
- 4
The digits of 77326 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77326 = 2 \times 23 \times 41^{2} \]77326 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124056 |
| Euler totient φ(n) | 36080 |
| Square | 5979310276 |
| Cube | 462356146401976 |
| Square root | 278.075529 (= 41√46) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7326 × |
77326 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and twenty-six |
| Binary (base 2) | 10010111000001110 |
| Octal (base 8) | 227016 |
| Hexadecimal (base 16) | 12E0E |
| Base 3 | 10221001221 |
| As time | 77326 seconds = 21 h 28 min 46 s |
Is 77326 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77326 ÷ 2 = 38663) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77326 a prime number?
No. 77326 = 2 × 23 × , so it is divisible by 2.
What are the factors of 77326?
1, 2, 23, 41, 46, 82, 943, 1681, 1886, 3362, 38663, 77326.
What is 77326 in binary?
10010111000001110 (hexadecimal 12E0E, octal 227016).
What is the square root of 77326?
About 278.0755, exactly 41√46.
Is 77326 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77326?
It is a composite number with 12 divisors.