The number 77091
77091 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3671. Divisors (8): 1, 3, 7, 21, 3671, 11013, 25697, 77091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77091 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77091 is composite. Its prime factorisation is
- 3
The divisors add up to 117504; without 77091 itself that is 40413, so 77091 is deficient (40413 is less than 77091). Euler's totient φ(77091) = 44040 numbers up to 77091 share no factor with it.
- 4
The digits of 77091 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77091 = 3 \times 7 \times 3671 \]
77091 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 117504 |
| Euler totient φ(n) | 44040 |
| Square | 5943022281 |
| Cube | 458153530664571 |
| Square root | 277.652661 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7091 × |
77091 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and ninety-one |
| Binary (base 2) | 10010110100100011 |
| Octal (base 8) | 226443 |
| Hexadecimal (base 16) | 12D23 |
| Base 3 | 10220202020 |
| As time | 77091 seconds = 21 h 24 min 51 s |
Is 77091 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77091 ÷ 3 = 25697) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77091 ÷ 7 = 11013) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77091 a prime number?
No. 77091 = 3 × 7 × 3671, so it is divisible by 3.
What are the factors of 77091?
1, 3, 7, 21, 3671, 11013, 25697, 77091.
What is 77091 in binary?
10010110100100011 (hexadecimal 12D23, octal 226443).
What is the square root of 77091?
About 277.6527.
Is 77091 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77091?
It is a composite number with 8 divisors.